🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to get that number.

    For the number 64, the factor pairs are:

    1 x 64 = 64
    2 x 32 = 64
    4 x 16 = 64
    8 x 8 = 64

    ### Answer: The factor pairs of 64 are 1x64, 2x32, 4x16, and 8x8.

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of 18.

Gemma 2B:

     To list all the factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    For the number 18, the factor pairs are:

    (1, 18)
    (2, 9)
    (3, 6)
    (6, 3)
    (9, 2)
    (18, 1)

    These are all the pairs of numbers that can be multiplied together to give 18.
    ### Answer: (1, 18), (2, 9), (3, 6), (6, 3), (9, 2), (18, 1)

Expected answer: [(1, 18), (2, 9), (3, 6)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 28 are:

    1 x 28 = 28
    2 x 14 = 28
    4 x 7 = 28

    ### Answer: The factor pairs of 28 are 1x28, 2x14, and 4x7.

Expected answer: [(1, 28), (2, 14), (4, 7)]

Correct? No

🔗 Problem

Problem: List all factor pairs of the number 48.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 48 are: 1, 2, 3, 4, 6, 8, 16, 24, 48
    So, the factor pairs of 48 are: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)
    ### Answer: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)

Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 7.

Gemma 2B:

     The factor pairs of 7 are (1, 7) and (7, 1).
    ### Answer: (1, 7), (7, 1)

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

Gemma 2B:

     To find all the pairs of factors of a number, we need to find all the pairs of numbers that can be multiplied together to give that number.

    The factors of 98 are: 1, 2, 7, 14, 49, and 98.

    So, the pairs of factors of 98 are:
    (1, 98)
    (2, 49)
    (7, 14)

    ### Answer: The pairs of factors of 98 are (1, 98), (2, 49), and (7, 14).

Expected answer: [(1, 98), (2, 49), (7, 14)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 26.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the product of that number.

    The factor pairs of 26 are:

    1 x 26 = 26
    2 x 13 = 26

    ### Answer: The factor pairs of 26 are 1 x 26 and 2 x 13.

Expected answer: [(1, 26), (2, 13)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 59.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. Since 59 is a prime number, it has only two factor pairs: (1, 59) and (59, 1).
    ### Answer: (1, 59), (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    For the number 20, the factor pairs are:

    (1, 20) because 1 \* 20 = 20
    (2, 10) because 2 \* 10 = 20
    (4, 5) because 4 \* 5 = 20

    ### Answer: The factor pairs of 20 are (1, 20), (2, 10), and (4, 5).

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 20.

Gemma 2B:

     The factor pairs of 20 are:
    (1, 20), (2, 10), (4, 5)

    Explanation:
    Factors are numbers that can be multiplied together to produce a given number. A factor pair is a pair of factors that multiply together to produce a given number.

    To find the factor pairs of 20, we need to find all pairs of numbers that can be multiplied together to produce 20.

    We can start by finding the smallest factor, which is 1. Then, we find the largest factor by dividing 20 by 1, which is 20.

    Next, we find the next smallest factor, which is 2. Then, we find the largest factor that is less than or equal to 20 by dividing 20 by 2, which is 10.

    We continue this process until we find all the factor pairs.

    Therefore, the factor pairs of 20 are (1, 20), (2, 10), and (4, 5).

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Please list down all factor pairs of 13.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the original number. The factors of a number are the numbers that divide it evenly.

    The number 13 is a prime number, which means it has only two factors: 1 and itself (13).

    Therefore, the factor pairs of 13 are:
    (1, 13)

    ### Answer: (1, 13)

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    For the number 81, the factor pairs are:

    1 x 81 = 81
    3 x 27 = 81
    9 x 9 = 81

    ### Answer: The factor pairs of 81 are 1x81, 3x27, and 9x9.

Expected answer: [(1, 81), (3, 27), (9, 9)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 76.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 76 are:

    1 x 76 = 76
    2 x 38 = 76

    So, the factor pairs of 76 are (1, 76) and (2, 38).
    ### Answer: (1, 76), (2, 38)

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 50.

Gemma 2B:

     The factor pairs of 50 are:
    (1, 50), (2, 25), (5, 10)
    ### Answer: (1, 50), (2, 25), (5, 10)

Expected answer: [(1, 50), (2, 25), (5, 10)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 76.

Gemma 2B:

     To list all the factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    The factor pairs of 76 are:

    1 x 76 = 76
    2 x 38 = 76

    So, the factor pairs of 76 are (1, 76) and (2, 38).
    ### Answer: (1, 76), (2, 38)

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 56.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give that number.

    Factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

    So, the factor pairs of 56 are:
    (1, 56)
    (2, 28)
    (4, 14)
    (7, 8)

    ### Answer: The factor pairs of 56 are (1, 56), (2, 28), (4, 14), and (7, 8).

Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 44.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 44 are: 1, 2, 4, 11, 22, 44
    So, the factor pairs of 44 are: (1, 44), (2, 22), (4, 11), (11, 4), (22, 2), (44, 1)
    ### Answer: (1, 44), (2, 22), (4, 11), (11, 4), (22, 2), (44, 1)

Expected answer: [(1, 44), (2, 22), (4, 11)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 5.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the number.
    The number 5 can only be factored into 1 and 5.
    ### Answer: (1, 5)

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The number 95 can be factored as follows:

    95 = 1 * 95
    95 = 5 * 19

    So, the factor pairs of 95 are:

    (1, 95) and (5, 19)
    ### Answer: (1, 95), (5, 19)

Expected answer: [(1, 95), (5, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number.

    The factor pairs of 36 are:
    (1, 36)
    (2, 18)
    (3, 12)
    (4, 9)
    (6, 6)

    ### Answer: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: Compute all the factor pairs of the number 59.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the original number. The number 59 is a prime number, meaning it has only two factors: 1 and itself.
    ### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 3?

Gemma 2B:

     Reasoning: A factor pair of a number is a pair of factors that, when multiplied together, give the number. The factor pairs of 3 are 1 and 3, because 1*3 = 3.
    ### Answer: The factor pairs of 3 are 1 and 3.

Expected answer: [(1, 3)]

Correct? Yes

🔗 Problem

Problem: Could you list all factor pairs of 51?

Gemma 2B:

     Sure! A factor pair of a number is a pair of factors that multiply to give that number. To find the factor pairs of 51, we need to find two numbers that multiply together to give 51.

    First, let's find the prime factorization of 51: 51 = 3 x 17.

    Now, we can find the factor pairs by listing all possible combinations of these prime factors:

    (1, 51) = 1 x 51 = 51
    (3, 17) = 3 x 17 = 51

    So, the factor pairs of 51 are (1, 51) and (3, 17).
    ### Answer: The factor pairs of 51 are (1, 51) and (3, 17).

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give the number. For the number 50, the factor pairs are:

    (1, 50)
    (2, 25)
    (5, 10)

    ### Answer: The factor pairs of 50 are (1, 50), (2, 25), and (5, 10).

Expected answer: [(1, 50), (2, 25), (5, 10)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 47.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. Since 47 is a prime number, it has only two factor pairs: (1, 47) and (47, 1).
    ### Answer: (1, 47), (47, 1)

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 51 are:

    1 x 51 = 51
    3 x 17 = 51

    So, the factor pairs of 51 are (1, 51) and (3, 17).
    ### Answer: The factor pairs of 51 are (1, 51) and (3, 17).

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give that number.

    The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

    The factor pairs of 60 are: (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10), and (

Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 43.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The number 43 is a prime number, meaning it has only two factor pairs: (1, 43) and (43, 1).
    ### Answer: (1, 43), (43, 1)

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give that number.

    For the number 70, the factor pairs are:

    (1, 70)
    (2, 35)
    (5, 14)
    (7, 10)

    ### Answer: The factor pairs of 70 are (1, 70), (2, 35), (5, 14), and (7, 10).

Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]

Correct? Yes

🔗 Problem

Problem: Please list all the factors of the number 2.

Gemma 2B:

     The number 2 has only two factors: 1 and

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 49 are 1, 7, and 49 itself.
    So, the factor pairs of 49 are (1, 49) and (7, 7).
    ### Answer: (1, 49), (7, 7)

Expected answer: [(1, 49), (7, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 17.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The factors of a number are the numbers that divide it evenly.
    The number 17 is a prime number, which means it has only two factors: 1 and itself.
    ### Answer: The factor pairs of 17 are (1, 17).

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 35 are:
    1 x 35 = 35
    5 x 7 = 35

    ### Answer: The factor pairs of 35 are 1 x 35 and 5 x 7.

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 91 are:
    1 x 91 = 91
    7 x 13 = 91

    ### Answer: The factor pairs of 91 are 1 x 91 and 7 x 13.

Expected answer: [(1, 91), (7, 13)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 97.

Gemma 2B:

     A factor pair of a number is a pair of integers that, when multiplied together, give that number. The number 97 is a prime number, which means it has only two factor pairs: (1, 97) and (97, 1).
    ### Answer: (1, 97), (97, 1)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number.
    The factor pairs of 1

Expected answer: [(1, 16), (2, 8), (4, 4)]

Correct? No

🔗 Problem

Problem: Find all the factor pairs of the number 21.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 21 are:

    1 x 21 = 21
    3 x 7 = 21

    ### Answer: The factor pairs of 21 are 1 x 21 and 3 x 7.

Expected answer: [(1, 21), (3, 7)]

Correct? Yes

🔗 Problem

Problem: Could you determine all the factor pairs of 72?

Gemma 2B:

     Sure! Factor pairs are pairs of numbers that multiply to give the product. Here are all the factor pairs of 72:

    (1, 72)
    (2, 36)
    (3, 24)
    (4, 18)
    (6, 12)
    (8, 9)

    ### Answer: The factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9).

Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]

Correct? Yes

🔗 Problem

Problem: Determine all the factor pairs of 38.

Gemma 2B:

     To determine the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The number 38 can be factored as follows:

    1 * 38 = 38
    2 * 19 = 38

    Therefore, the factor pairs of 38 are (1, 38) and (2, 19).
    ### Answer: The factor pairs of 38 are (1, 38) and (2, 19).

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 94.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that multiply together to give that number.

    The factor pairs of 94 are:

    1 x 94 = 94
    2 x 47 = 94

    So, the factor pairs of 94 are (1, 94) and (2, 47).
    ### Answer: (1, 94), (2, 47)

Expected answer: [(1, 94), (2, 47)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 32.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    For the number 32, the factor pairs are:

    (1, 32)
    (2, 16)
    (4, 8)

    ### Answer: The factor pairs of 32 are (1, 32), (2, 16), and (4, 8).

Expected answer: [(1, 32), (2, 16), (4, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 33.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 33 are:

    1 x 33 = 33
    3 x 11 = 33

    ### Answer: The factor pairs of 33 are 1 x 33 and 3 x 11.

Expected answer: [(1, 33), (3, 11)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The number 59 is a prime number, which means it has only two factor pairs: (1, 59) and (59, 1).
    ### Answer: (1, 59), (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 54.

Gemma 2B:

     To list all the factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    For the number 54, the factor pairs are:

    (1, 54)
    (2, 27)
    (3, 18)
    (6, 9)

    ### Answer: The factor pairs of 54 are (1, 54), (2, 27), (3, 18), and (6, 9).

Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

Gemma 2B:

     To determine the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The number 85 can be factored as follows:

    85 = 1 * 85
    85 = 5 * 17

    So, the factor pairs of 85 are (1, 85) and (5, 17).
    ### Answer: (1, 85), (5, 17)

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of the number 56.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the original number.
    To find the factor pairs of 56, we need to find all pairs of numbers that divide 56 evenly.

    The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

    So, the factor pairs of 56 are:
    (1, 56)
    (2, 28)
    (4, 14)
    (7, 8)

    ### Answer: The factor pairs of 56 are (1, 56), (2, 28), (4, 14), and (7, 8).

Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 24.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
    So, the factor pairs of 24 are: (1, 24), (2, 12), (3, 8), (4, 6), and (12, 2).
    ### Answer: (1, 24), (2, 12), (3, 8), (4, 6), and (12, 2)

Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of the number 84?

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 84 are:

    1 x 84 = 84
    2 x 42 = 84
    3 x 28 = 84
    4 x 21 = 84
    6 x 14 = 84
    7 x 12 = 84

    ### Answer: The factor pairs of 84 are 1x84, 2x42, 3x28, 4x21, 6x14, and 7x12.

Expected answer: [(1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)]

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 36.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 36 are:

    (1, 36)
    (2, 18)
    (3, 12)
    (4, 9)
    (6, 6)

    ### Answer: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 85?

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 85 are:

    1 x 85 = 85
    5 x 17 = 85

    So, the factor pairs of 85 are (1, 85) and (5, 17).
    ### Answer: The factor pairs of 85 are (1, 85) and (5, 17).

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the product of that number.

    To find the factor pairs of 34, we need to find two numbers that can be multiplied together to give 34 as the product.

    We can start by finding the factors of 34:

    Factors of 34: 1, 2, 17, 34

    Now, we can pair up the factors to find the factor pairs:

    (1, 34) and (2, 17)

    ### Answer: The factor pairs of 34 are (1, 34) and (2, 17).

Expected answer: [(1, 34), (2, 17)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 88.

Gemma 2B:

     To determine the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 88 are:

    1 x 88 = 88
    2 x 44 = 88
    4 x 22 = 88
    8 x 11 = 88

    ### Answer: The factor pairs of 88 are 1x88, 2x44, 4x22, and 8x11.

Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs for the number 83.

Gemma 2B:

     A factor pair of a number is a pair of integers that, when multiplied together, give that number. Since 83 is a prime number, it has only two factor pairs: (1, 83) and (83, 1).
    ### Answer: (1, 83), (83, 1)

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to get that number.

    The factor pairs of 60 are:

    1 x 60 = 60
    2 x 30 = 60
    3 x 20 = 60
    4 x 15 = 60
    5 x 12 = 60
    6 x 10 = 60

    So the factor pairs of 60 are (1,60), (2,30), (3,20), (4,15), (5,12), and (6,10).

    ### Answer: The factor pairs of 60 are (1,60), (2,30), (3,20), (4,15), (5,12), and (6,10).

Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 58.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 58 are:

    1 x 58 = 58
    2 x 29 = 58

    So, the factor pairs of 58 are (1, 58) and (2, 29).
    ### Answer: The factor pairs of 58 are (1, 58) and (2, 29).

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

Problem: Please list all of the factor pairs of the number 40.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
    So, the factor pairs of 40 are: (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (10, 4), (20, 2), (40, 1)
    ### Answer: (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (10, 4), (20, 2), (40, 1)

Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 91 are:

    1 x 91 = 91
    7 x 13 = 91

    So, the factor pairs of 91 are 1 and 91, and 7 and 13.
    ### Answer: The factor pairs of 91 are 1 and 91, and 7 and 13.

Expected answer: [(1, 91), (7, 13)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

Gemma 2B:

     To list all the factor pairs of a number, we need to find two numbers that multiply together to give that number. For the number 76, the factor pairs are:

    (1, 76)
    (2, 38)

    ### Answer: The factor pairs of 76 are (1, 76) and (2, 38).

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 13?

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The factors of 13 are 1 and 13. Therefore, the factor pair of 13 is (1, 13).
    ### Answer: (1, 13)

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to get that number.

    For the number 64, the factor pairs are:

    1 x 64 = 64
    2 x 32 = 64
    4 x 16 = 64
    8 x 8 = 64

    ### Answer: The factor pairs of 64 are 1x64, 2x32, 4x16, and 8x8.

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? No

🔗 Problem

Problem: What are all factor pairs of 8?

Gemma 2B:

     Factor pairs of a number are pairs of factors that multiply to give that number.
    Factors of 8 are 1, 2, 4, and 8.
    So, the factor pairs of 8 are:
    (1, 8)
    (2, 4)
    ### Answer: (1, 8), (2, 4)

Expected answer: [(1, 8), (2, 4)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 80.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number.
    The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
    So, the factor pairs of 80 are: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10), and (10, 8).
    ### Answer: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10), and (10, 8)

Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]

Correct? Yes

🔗 Problem

Problem: Calculate all the factor pairs for the number 96.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the original number.

    The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

    So, the factor pairs of 96 are:
    (1, 96)
    (2, 48)
    (3, 32)
    (4, 24)
    (6, 16)
    (8, 12)

    ### Answer: The factor pairs of 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), and (8, 12).

Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]

Correct? Yes

🔗 Problem

Problem: Calculate all factor pairs of 19.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the original number.
    The number 19 is a prime number, which means it has only two factor pairs: (1, 19) and (19, 1).
    ### Answer: (1, 19), (19, 1)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number.

    The number 37 is a prime number, which means it has only two factor pairs: (1, 37) and (37, 1).
    ### Answer: The factor pairs of 37 are (1, 37) and (37, 1).

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of the number 6.

Gemma 2B:

     The factor pairs of the number 6 are:
    (1, 6) and (2, 3)
    ### Answer: (1, 6), (2, 3)

Expected answer: [(1, 6), (2, 3)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

Gemma 2B:

     To list down all the factor pairs of a number, we need to find two numbers that can be multiplied together to get that number.

    The factor pairs of 58 are:

    1 x 58 = 58
    2 x 29 = 58

    ### Answer: The factor pairs of 58 are 1 x 58 and 2 x 29.

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 81.

Gemma 2B:

     To list all the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number. For the number 81, the factor pairs are:

    (1, 81)
    (3, 27)
    (9, 9)

    ### Answer: (1, 81), (3, 27), (9, 9)

Expected answer: [(1, 81), (3, 27), (9, 9)]

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of the number 85.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 85 are:

    1 x 85 = 85
    5 x 17 = 85

    So, the factor pairs of 85 are (1, 85) and (5, 17).
    ### Answer: The factor pairs of 85 are (1, 85) and (5, 17).

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs for the number 93.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs for the number 93 are:

    1 x 93 = 93
    3 x 31 = 93

    So, the factor pairs for 93 are (1, 93) and (3, 31).
    ### Answer: The factor pairs for 93 are (1, 93) and (3, 31).

Expected answer: [(1, 93), (3, 31)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

Gemma 2B:

     To identify all factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 24 are:

    (1, 24)
    (2, 12)
    (3, 8)
    (4, 6)

    ### Answer: The factor pairs of 24 are (1, 24), (2, 12), (3, 8), and (4, 6).

Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 97.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. The number 97 is a prime number, which means it has only two factor pairs: (1, 97) and (97, 1).
    ### Answer: (1, 97), (97, 1)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.
    The factor pairs of 57 are:
    1 x 57 = 57
    3 x 19 = 57
    ### Answer: The factor pairs of 57 are 1x57 and 3x19.

Expected answer: [(1, 57), (3, 19)]

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. The number 19 is a prime number, which means it has only two factor pairs: (1, 19) and (19, 1).
    ### Answer: (1, 19), (19, 1)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

     Factors of a number are numbers that can be multiplied together to get that number.

    To find the factor pairs of 38, we need to find two numbers that can be multiplied together to get 38.

    We can start by finding the factors of 38: 1, 2, 19, and 38.

    Now, we can pair up the factors to find the factor pairs:
    (1, 38) and (2, 19)

    ### Answer: The factor pairs of 38 are (1, 38) and (2, 19).

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of the number 6.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give the product of that number.
    The number 6 can be factored as 1*6 and 2*3.
    ### Answer: The factor pairs of the number 6 are 1*6 and 2*3.

Expected answer: [(1, 6), (2, 3)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. The number 17 is a prime number, which means it has only two factor pairs: (1, 17) and (17, 1).
    ### Answer: (1, 17), (17, 1)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give the number.

    The factors of 45 are: 1, 3, 5, 9, 15, 45.

    So, the factor pairs of 45 are: (1, 45), (3, 15), (5, 9), (9, 5), (15, 3), (45, 1).
    ### Answer: (1, 45), (3, 15), (5, 9), (9, 5), (15, 3), (45, 1)

Expected answer: [(1, 45), (3, 15), (5, 9)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 36.

Gemma 2B:

     The factor pairs of 36 are:
    (1, 36), (2, 18), (3, 12), (4, 9), (6, 6), (9, 4), (12, 3), (18, 2), (36, 1)
    ### Answer: (1, 36), (2, 18), (3, 12), (4, 9), (6, 6), (9, 4), (12, 3), (18, 2), (36, 1)

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 89?

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.

    The factors of 89 are 1 and 89 only.

    So, the factor pair of 89 is (1, 89).
    ### Answer: (1, 89)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 89.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The number 89 is a prime number, which means it has only two factor pairs: (1, 89) and (89, 1).
    ### Answer: (1, 89), (89, 1)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 44.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number.
    Factors of 44 are 1, 2, 4, 11, 22, 44.
    So, the factor pairs of 44 are:
    (1, 44)
    (2, 22)
    (4, 11)
    ### Answer: (1, 44), (2, 22), (4, 11)

Expected answer: [(1, 44), (2, 22), (4, 11)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

Gemma 2B:

     To identify the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 36 are:

    (1, 36)
    (2, 18)
    (3, 12)
    (4, 9)
    (6, 6)

    ### Answer: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: List all possible factor pairs of the number 35.

Gemma 2B:

     To list all possible factor pairs of a number, we need to find two numbers that can be multiplied together to give the desired number. In this case, we are looking for the factor pairs of 35.

    We can start by finding the smallest factor, which is 1. Then, we can find the largest factor by dividing the number by the smallest factor. The largest factor of 35 is 35/1 = 35.

    Now, we can list all possible factor pairs as follows:

    (1, 35)
    (5, 7)

    ### Answer: The factor pairs of 35 are (1, 35) and (5, 7).

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

Gemma 2B:

     The factor pairs of 22 are:
    (1, 22) and (2, 11)
    ### Answer: (1, 22), (2, 11)

Expected answer: [(1, 22), (2, 11)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to get that number.

    For the number 40, the factor pairs are:

    (1, 40)
    (2, 20)
    (4, 10)
    (5, 8)
    (40, 1)

    These are all the pairs of numbers that can be multiplied together to get 40.

    ### Answer: The factor pairs of 40 are (1, 40), (2, 20), (4, 10), (5, 8).

Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 64.

Gemma 2B:

     A factor pair of a number is a pair of factors that multiply to give that number. The number 64 has the following factor pairs:

    (1, 64)
    (2, 32)
    (4, 16)
    (8, 8)

    ### Answer: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8).

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 30.

Gemma 2B:

     To determine the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.
    The factor pairs of 30 are:
    1 x 30 = 30
    2 x 15 = 30
    3 x 10 = 30
    5 x 6 = 30
    ### Answer: (1, 30), (2, 15), (3, 10), (5, 6)

Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 59.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. Since 59 is a prime number, it has only two factor pairs: (1, 59) and (59, 1).
    ### Answer: (1, 59), (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

Gemma 2B:

     To list all factor pairs of a number, we need to find all pairs of factors that multiply to give that number.

    For the number 18, the factor pairs are:

    (1, 18)
    (2, 9)
    (3, 6)

    ### Answer: The factor pairs of 18 are (1, 18), (2, 9), and (3, 6).

Expected answer: [(1, 18), (2, 9), (3, 6)]

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

Gemma 2B:

     A factor pair of a number is a pair of numbers that can be multiplied together to give that number. Since 61 is a prime number, it can only be divided by 1 and itself. Therefore, the only factor pair of 61 is (1, 61).
    ### Answer: (1, 61)

Expected answer: [(1, 61)]

Correct? Yes

🔗 Problem

Problem: What are all of the factor pairs of 86?

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    We can find the factors of 86 by dividing it by different numbers and checking if the result is a whole number.

    86 ÷ 1 = 86, so (1, 86) is a factor pair.
    86 ÷ 2 = 43, which is not a whole number, so (2, 43) is not a factor pair.
    86 ÷ 3 = 28.67, which is not a whole number, so (3, 28.67) is not a factor pair.
    86 ÷ 4 = 21.5, which is not a whole number, so (4, 21.5) is not a factor pair.
    86 ÷ 5 = 17.2, which is not a whole number, so (5, 17.2) is not a factor pair.
    86 ÷ 6 = 14.33, which is not a whole number, so (6, 14.33) is not a factor pair.
    86 ÷ 7 = 12.29, which is not a whole number, so (7, 12.29) is not a factor pair.
    86 ÷ 8 = 10.75, which is not a whole number, so (8, 10.75) is not a factor pair.
    86 ÷ 9 = 9.56, which is not a whole number, so (9, 9.56) is not a factor pair.
    86 ÷ 10 = 8.6, which is not a whole number, so (10, 8.6) is not a factor pair.
    86 ÷ 11 = 7.82, which is not a whole number, so (11, 7.82) is not a factor pair.
    86 ÷ 12 = 7.17, which is not a whole number, so (12, 7.17) is not a factor pair.
    86 ÷ 13 = 6.62, which is not a whole number, so (13, 6.62) is not a factor pair.
    86 ÷ 14 = 6.14, which is not a whole number, so (14, 6.14) is not a factor pair.
    86 ÷ 15 = 5.73, which is not a whole number, so (15, 5.73) is not a factor pair.
    86 ÷ 16 = 5.38, which is not a whole number, so (16, 5.38) is not a factor pair.
    86 ÷ 17 = 5, which is a whole number, so (17, 5) is a factor pair.
    86 ÷ 18 = 4.78, which is not a whole number, so (18, 4.78) is not a factor pair.
    86 ÷ 19 = 4.53, which is not a whole number, so (19, 4.53) is not a factor pair.
    86 ÷ 20 = 4.3, which is not a whole number, so (20, 4.3) is not a factor pair.
    86 ÷ 21 = 4.05, which is not a whole number, so (21, 4.05) is not a factor pair.
    86 ÷ 22 = 3.91, which is not a whole number, so (22, 3.91) is not a factor pair.
    86 ÷ 23 = 3.74, which is not a whole number, so (23, 3.74) is not a factor pair.
    86 ÷ 24 = 3.58, which is not a whole number, so (24, 3.58) is not a factor pair.
    86 ÷ 25 = 3.44, which is not a whole number, so (25, 3.44) is not a factor pair.
    86 ÷ 26

Expected answer: [(1, 86), (2, 43)]

Correct? No

🔗 Problem

Problem: List out all factor pairs of 57.

Gemma 2B:

     To list out all factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    The factors of 57 are 1, 3, 19, and 57.

    So, the factor pairs of 57 are:
    (1, 57)
    (3, 19)

    ### Answer: (1, 57), (3, 19)

Expected answer: [(1, 57), (3, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

     Factors of a number are numbers that can be multiplied together to get that number.

    To find the factor pairs of 38, we need to find two numbers that can be multiplied together to get 38.

    We can start by finding the factors of 38: 1, 2, 19, and 38.

    Now, we can pair up the factors to find the factor pairs:
    (1, 38) and (2, 19)

    ### Answer: The factor pairs of 38 are (1, 38) and (2, 19).

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

Gemma 2B:

     To find the factor pairs of a number, we need to find two numbers that can be multiplied together to give that number.

    The factor pairs of 27 are:

    1 x 27 = 27
    3 x 9 = 27

    So the factor pairs of 27 are (1, 27) and (3, 9).
    ### Answer: (1, 27), (3, 9)

Expected answer: [(1, 27), (3, 9)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 78.

Gemma 2B:

     To list all the factor pairs of a number, we need to find all pairs of numbers that can be multiplied together to give that number.

    The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78.

    So, the factor pairs of 78 are:
    (1, 78)
    (2, 39)
    (3, 26)
    (6, 13)
    ### Answer: (1, 78), (2, 39), (3, 26), (6, 13)

Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]

Correct? Yes

🔗 Problem

Problem: List out all the factor pairs of 23.

Gemma 2B:

     A factor pair of a number is a pair of factors that, when multiplied together, give that number. The number 23 is a prime number, which means it has only two factor pairs: (1, 23) and (23, 1).
    ### Answer: (1, 23), (23, 1)

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

Gemma 2B:

     The factor pairs of a number are the two numbers that can be multiplied together to produce that number. The factor pairs of 2 are:
    1 x 2 = 2
    ### Answer: (1, 2)

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

Gemma 2B:

     Reasoning: A factor pair of a number is a pair of factors that multiply to give that number. The factors of 49 are 1 and 49, and 7 and 7.
    ### Answer: The factor pairs of 49 are (1, 49) and (7, 7).

Expected answer: [(1, 49), (7, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.

Gemma 2B:

     To find the pairs of factors that can multiply to give the number 93, we need to find two numbers that can be multiplied together to get 93.

    First, we can find one factor by dividing 93 by a perfect square number, since the result of this division will be a square root, which can be used to find the other factor.

    93 divided by 1 is 93, and the square root of 93^2 is 93, so one factor is 93.

    To find the other factor, we can divide 93 by 1, which gives us 93.

    Therefore, the distinct pairs of factors that can multiply to give the number 93 are (1, 93) and (93, 1).

    ### Answer: (1, 93) and (93, 1)

Expected answer: [(1, 93), (3, 31)]

Correct? No