🔗 Problem

Problem: Find all factor pairs of 64.

Llama 3 8B:

    To find the factor pairs of 64, we need to find all the numbers that divide 64 exactly without leaving a remainder.

    The factors of 64 are: 1, 2, 4, 8, 16, 32, and 64.

    Now, let's find the factor pairs:

    * 1 and 64
    * 2 and 32
    * 4 and 16
    * 8 and 8

    These are all the factor pairs of 64.

    ### Answer: 1 and 64, 2 and 32, 4 and 16, 8 and 8.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 18.

Llama 3 8B:

    To find the factor pairs of 18, we need to find the numbers that multiply together to give 18.

    The factor pairs of 18 are:

    1. 1 x 18 = 18
    2. 2 x 9 = 18
    3. 3 x 6 = 18

    These are all the possible factor pairs of 18.

    ### Answer: 1 x 18, 2 x 9, 3 x 6.

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

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

Llama 3 8B:

    To find the factor pairs of 28, we need to find the numbers that divide 28 exactly without leaving a remainder.

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

    Now, let's find the factor pairs by combining each factor with another factor:

    * 1 and 28
    * 2 and 14
    * 4 and 7

    These are all the factor pairs of 28.

    ### Answer: (1, 28), (2, 14), (4, 7)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 48.

Llama 3 8B:

    To find the factor pairs of 48, we need to find the numbers that divide 48 exactly without leaving a remainder.

    The factor pairs of 48 are:

    1. 1 and 48
    2. 2 and 24
    3. 3 and 16
    4. 4 and 12
    5. 6 and 8

    ### Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 7.

Llama 3 8B:

    The factor pairs of 7 are:

    (1, 7)
    (7, 1)

    Note that 7 is a prime number, which means it can only be divided by 1 and itself. Therefore, the only factor pairs of 7 are the ones listed above.

    ### Answer: (1, 7), (7, 1)

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

Llama 3 8B:

    To find the factors of 98, I'll start by listing the numbers that divide 98 exactly without leaving a remainder.

    1. 1 × 98 = 98
    2. 2 × 49 = 98
    3. 7 × 14 = 98

    These are the only pairs of factors of 98.

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

Correct? No

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 26, we need to find the numbers that divide 26 exactly without leaving a remainder.

    The factor pairs of 26 are:

    1. 1 and 26
    2. 2 and 13
    3. 13 and 2
    4. 26 and 1

    ### Answer: 1, 2, 13, 26

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 59.

Llama 3 8B:

    To find the factor pairs of 59, we need to find the numbers that multiply together to give 59.

    Since 59 is a prime number, it only has two factor pairs: (1, 59) and (59, 1).

    ### Answer: (1, 59) and (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

Llama 3 8B:

    To find the factor pairs of 20, we need to find the numbers that divide 20 exactly without leaving a remainder.

    The factors of 20 are: 1, 2, 4, 5, 10, and 20.

    Now, let's find the factor pairs by combining each factor with another factor:

    * 1 and 20
    * 2 and 10
    * 4 and 5

    These are all the factor pairs of 20.

    ### Answer: 1 and 20, 2 and 10, 4 and 5.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 20.

Llama 3 8B:

    To find the factor pairs of 20, I'll list all the numbers that divide 20 exactly without leaving a remainder.

    1. 1 × 20 = 20
    2. 2 × 10 = 20
    3. 4 × 5 = 20

    These are all the factor pairs of 20.

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

Correct? No

🔗 Problem

Problem: Please list down all factor pairs of 13.

Llama 3 8B:

    To find the factor pairs of 13, we need to find the numbers that multiply together to give 13.

    The only factor pairs of 13 are:

    * 1 and 13

    These are the only two numbers that multiply together to give 13.

    ### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

Llama 3 8B:

    To find the factor pairs of 81, we need to find all the numbers that divide 81 exactly without leaving a remainder.

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

    So, the factor pairs of 81 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: List all factor pairs of 76.

Llama 3 8B:

    To find the factor pairs of 76, we need to find the numbers that multiply together to give 76.

    76 = 1 x 76
    76 = 2 x 38
    76 = 4 x 19

    These are the factor pairs of 76.

    ### Answer: 1 x 76, 2 x 38, 4 x 19

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 50.

Llama 3 8B:

    To find the factor pairs of 50, we need to find the numbers that multiply together to give 50.

    Here are the factor pairs of 50:

    1. 1 x 50 = 50
    2. 2 x 25 = 50
    3. 5 x 10 = 50

    These are all the possible factor pairs of 50.

    ### Answer: 1 x 50, 2 x 25, 5 x 10.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 76, we need to find the numbers that divide 76 exactly without leaving a remainder.

    The factors of 76 are: 1, 2, 4, 19, 38, and 76.

    Now, let's pair them up:

    * 1 and 76
    * 2 and 38
    * 4 and 19

    These are all the factor pairs of the number 76.

    ### Answer: 1 and 76, 2 and 38, 4 and 19.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 56.

Llama 3 8B:

    To find the factor pairs of 56, we need to find the numbers that multiply together to give 56.

    The factor pairs of 56 are:

    1. 1 x 56 = 56
    2. 2 x 28 = 56
    3. 4 x 14 = 56
    4. 7 x 8 = 56

    These are all the possible factor pairs of 56.

    ### Answer: 1 x 56, 2 x 28, 4 x 14, 7 x 8.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 44, we need to find the numbers that multiply together to give 44.

    The factor pairs of 44 are:

    1. 1 x 44 = 44
    2. 2 x 22 = 44
    3. 4 x 11 = 44

    These are all the possible factor pairs of the number 44.

    ### Answer: 1 x 44, 2 x 22, 4 x 11.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 5.

Llama 3 8B:

    The factor pairs of 5 are:

    * 1 x 5
    * 5 x 1

    These are the only two possible factor pairs for the number 5.

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Llama 3 8B:

    To find the factor pairs of 95, we need to find the numbers that divide 95 exactly without leaving a remainder.

    The factors of 95 are: 1, 5, 19, and 95.

    Now, let's find the factor pairs:

    * 1 and 95 (since 1 × 95 = 95)
    * 5 and 19 (since 5 × 19 = 95)

    These are all the factor pairs of the number 95.

    ### Answer: 1 and 95, 5 and 19.

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

Llama 3 8B:

    To find the factor pairs of 36, we need to find the numbers that multiply together to give 36.

    36 = 1 x 36
    36 = 2 x 18
    36 = 3 x 12
    36 = 4 x 9
    36 = 6 x 6

    These are all the factor pairs of 36.

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.

Llama 3 8B:

    Since 59 is a prime number, it only has two factor pairs: 1 and 59.

    1 × 59 = 59

    There are no other factor pairs for 59 because it is a prime number, meaning it can only be divided by 1 and itself.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 3?

Llama 3 8B:

    A factor pair is a pair of numbers that multiply together to give a product. For the number 3, the only factor pair is:

    1 × 3 = 3

    In other words, the only numbers that multiply together to give 3 are 1 and 3 itself.

Expected answer: [(1, 3)]

Correct? Yes

🔗 Problem

Problem: Could you list all factor pairs of 51?

Llama 3 8B:

    To find the factor pairs of 51, we need to find the numbers that multiply together to give 51.

    The factors of 51 are: 1, 3, 17, and 51.

    The factor pairs of 51 are:

    * 1 x 51 = 51
    * 3 x 17 = 51

    Note that there are only two factor pairs for 51, since it is a prime number.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

Llama 3 8B:

    To find the factor pairs of 50, we need to find the numbers that multiply together to give 50.

    The factor pairs of 50 are:

    1. 1 x 50 = 50
    2. 2 x 25 = 50
    3. 5 x 10 = 50

    These are all the possible factor pairs of 50.

    ### Answer: 1 x 50, 2 x 25, 5 x 10.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 47.

Llama 3 8B:

    To find the factor pairs of 47, we need to find the numbers that multiply together to give 47.

    The only factor pairs of 47 are:

    1 × 47 = 47

    Since 47 is a prime number, it only has two factors: 1 and itself.

    ### Answer: 1 × 47 = 47

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Llama 3 8B:

    To find the factor pairs of 51, we need to find the numbers that multiply together to give 51.

    51 = 1 x 51
    51 = 3 x 17

    These are the only two factor pairs of 51.

    ### Answer: 1 x 51, 3 x 17

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

Llama 3 8B:

    To find the factor pairs of 60, we need to find the numbers that divide 60 exactly without leaving a remainder.

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

    Now, let's pair up these factors to get the factor pairs:

    1. 1 and 60
    2. 2 and 30
    3. 3 and 20
    4. 4 and 15
    5. 5 and 12
    6. 6 and 10

    These are all the factor pairs of 60.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 43.

Llama 3 8B:

    To find the factor pairs of 43, we need to find the numbers that multiply together to give 43.

    The only factor pairs of 43 are:

    * 1 and 43

    Note that 43 is a prime number, which means it can only be divided by 1 and itself.

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

Llama 3 8B:

    To find the factor pairs of 70, we need to find the numbers that multiply together to give 70.

    The factors of 70 are: 1, 2, 5, 7, 10, 14, 35, and 70.

    Now, let's find the factor pairs:

    * 1 and 70
    * 2 and 35
    * 5 and 14
    * 7 and 10

    These are all the factor pairs of 70.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    The factors of the number 2 are:

    1, 2

    ### Answer: 1, 2

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Llama 3 8B:

    To find the factor pairs of 49, we need to find the numbers that multiply together to give 49.

    49 = 1 x 49
    49 = 7 x 7

    These are the only two factor pairs of 49.

    ### Answer: 1 x 49, 7 x 7

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 17.

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 17 is a prime number, it only has two factor pairs: (1, 17) and (17, 1).
    ### Answer: (1, 17) and (17, 1)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Llama 3 8B:

    To find the factor pairs of 35, we need to find the numbers that divide 35 exactly without leaving a remainder.

    35 = 1 x 35
    35 = 5 x 7

    So, the factor pairs of 35 are:

    (1, 35)
    (5, 7)

    ### Answer: (1, 35), (5, 7)

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

Llama 3 8B:

    To find the factor pairs of 91, we need to find the numbers that divide 91 exactly without leaving a remainder.

    91 = 1 x 91
    91 = 7 x 13

    So, the factor pairs of 91 are:

    (1, 91)
    (7, 13)

    ### Answer: (1, 91), (7, 13)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 97.

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 97 is a prime number, it only has two factor pairs: (1, 97) and (97, 1).
    ### Answer: (1, 97) and (97, 1)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

Llama 3 8B:

    To find the factor pairs of 16, we need to find the numbers that multiply together to give 16.

    The factor pairs of 16 are:

    1 × 16 = 16
    2 × 8 = 16
    4 × 4 = 16

    These are all the possible factor pairs of 16.

    ### Answer: 1 × 16, 2 × 8, 4 × 4.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of the number 21, we need to find all the numbers that divide 21 exactly without leaving a remainder.

    The factors of 21 are: 1, 3, 7, and 21.

    Now, let's find the factor pairs by combining each factor with every other factor:

    * 1 and 21 (since 1 × 21 = 21)
    * 3 and 7 (since 3 × 7 = 21)

    These are all the factor pairs of the number 21.

    ### Answer: (1, 21), (3, 7)

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 72, we need to find the numbers that divide 72 exactly without leaving a remainder.

    The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

    Now, let's find the factor pairs:

    * 1 and 72
    * 2 and 36
    * 3 and 24
    * 4 and 18
    * 6 and 12

    These are all the factor pairs of 72.

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.

Llama 3 8B:

    To find the factor pairs of 38, we need to find the numbers that divide 38 exactly without leaving a remainder.

    The factors of 38 are: 1, 2, 19, and 38.

    Now, let's find the factor pairs by combining each factor with every other factor:

    * 1 and 38 (1 × 38 = 38)
    * 2 and 19 (2 × 19 = 38)

    These are the only two factor pairs of 38.

    ### Answer: 1 and 38, 2 and 19.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 94.

Llama 3 8B:

    To find the factor pairs of 94, we need to find the numbers that multiply together to give 94.

    94 = 1 x 94
    94 = 2 x 47
    94 = 47 x 2
    94 = 47 x 1

    So, the factor pairs of 94 are:

    (1, 94)
    (2, 47)
    (47, 2)
    (47, 1)

    ### Answer: (1, 94), (2, 47), (47, 2), (47, 1).

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 32.

Llama 3 8B:

    To find the factor pairs of 32, we need to find the numbers that divide 32 exactly without leaving a remainder.

    The factor pairs of 32 are:

    1. 1 and 32
    2. 2 and 16
    3. 4 and 8

    These are all the possible factor pairs of 32.

    ### Answer: 1 and 32, 2 and 16, 4 and 8.

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 33.

Llama 3 8B:

    To find the factor pairs of 33, we need to find the numbers that divide 33 exactly without leaving a remainder.

    The factors of 33 are: 1, 3, 11, and 33.

    The factor pairs of 33 are:

    * (1, 33)
    * (3, 11)

    These are the only two factor pairs of the number 33.

    ### Answer: (1, 33), (3, 11)

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

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

Llama 3 8B:

    To find the factor pairs of 59, we need to find the numbers that multiply together to give 59.

    Since 59 is a prime number, it only has two factor pairs: (1, 59) and (59, 1).

    ### Answer: (1, 59) and (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 54, we need to find all the numbers that divide 54 exactly without leaving a remainder.

    The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, and 54.

    Now, let's pair up these factors to get the factor pairs:

    1. (1, 54)
    2. (2, 27)
    3. (3, 18)
    4. (6, 9)

    These are all the factor pairs of the number 54.

    ### Answer: (1, 54), (2, 27), (3, 18), (6, 9).

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

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

Llama 3 8B:

    To find the factor pairs of 85, we need to find all the numbers that divide 85 exactly without leaving a remainder.

    The factors of 85 are: 1, 5, 17, and 85.

    Now, let's find the factor pairs by combining each factor with every other factor:

    * 1 and 85 (1 × 85 = 85)
    * 5 and 17 (5 × 17 = 85)

    These are all the factor pairs of 85.

    ### Answer: (1, 85), (5, 17)

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 56, we need to find the numbers that divide 56 exactly without leaving a remainder.

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

    Now, let's find the factor pairs by combining each factor with another factor to get the product of 56:

    * 1 and 56 = 56
    * 2 and 28 = 56
    * 4 and 14 = 56
    * 7 and 8 = 56

    These are all the factor pairs of the number 56.

    ### Answer: 1 and 56, 2 and 28, 4 and 14, 7 and 8.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of the number 24, we need to find the numbers that divide 24 exactly without leaving a remainder.

    The factor pairs of 24 are:

    1. 1 and 24
    2. 2 and 12
    3. 3 and 8
    4. 4 and 6

    These are all the possible factor pairs of the number 24.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 84, we need to find all the numbers that divide 84 exactly without leaving a remainder.

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

    So, the factor pairs of 84 are:

    (1, 84)
    (2, 42)
    (3, 28)
    (4, 21)
    (6, 14)
    (7, 12)

    ### Answer: (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12).

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

Llama 3 8B:

    To find the factor pairs of 36, we need to find the numbers that divide 36 exactly without leaving a remainder.

    36 = 1 x 36
    36 = 2 x 18
    36 = 3 x 12
    36 = 4 x 9
    36 = 6 x 6

    These are all the factor pairs of 36.

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

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 85?

Llama 3 8B:

    To find the factor pairs of 85, we need to find the numbers that multiply together to give 85.

    85 = 1 × 85
    85 = 5 × 17

    These are the only two factor pairs of 85.

    ### Answer: 1 × 85, 5 × 17

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

Llama 3 8B:

    To find the factor pairs of 34, we need to find the numbers that divide 34 exactly without leaving a remainder.

    The factors of 34 are: 1, 2, 17, and 34.

    Now, let's find the factor pairs by combining each factor with every other factor:

    * 1 and 34 (1 × 34 = 34)
    * 2 and 17 (2 × 17 = 34)

    These are the only two factor pairs of the number 34.

    ### Answer: (1, 34), (2, 17)

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

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 88.

Llama 3 8B:

    To find the factor pairs of 88, we need to find the numbers that divide 88 exactly without leaving a remainder.

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

    These are all the factor pairs of 88.

    ### Answer: 1 x 88, 2 x 44, 4 x 22, 8 x 11.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs for the number 83, we need to find the numbers that divide 83 exactly without leaving a remainder.

    The only factor pairs for 83 are:

    1 × 83 = 83
    83 × 1 = 83

    Since 83 is a prime number, it only has two factor pairs: 1 and itself.

    ### Answer: 1 × 83 = 83, 83 × 1 = 83

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

Llama 3 8B:

    To find the factor pairs of 60, we need to find all the numbers that divide 60 exactly without leaving a remainder.

    The factors of 60 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 30, and 60.

    Now, let's find the factor pairs by combining each factor with another factor to get 60:

    * 1 and 60
    * 2 and 30
    * 3 and 20
    * 4 and 15
    * 5 and 12
    * 6 and 10

    These are all the factor pairs of 60.

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.

Llama 3 8B:

    To find the factor pairs of 58, we need to find the numbers that multiply together to give 58.

    The factor pairs of 58 are:

    1. 1 x 58 = 58
    2. 2 x 29 = 58

    These are the only two factor pairs of 58.

    ### Answer: 1 x 58, 2 x 29

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of the number 40, we need to find the numbers that divide 40 exactly without leaving a remainder.

    The factor pairs of 40 are:

    1. 1 and 40
    2. 2 and 20
    3. 4 and 10
    4. 5 and 8

    These are all the possible factor pairs of the number 40.

    ### Answer: 1 and 40, 2 and 20, 4 and 10, 5 and 8.

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

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

Llama 3 8B:

    To find the factor pairs of 91, we need to find the numbers that multiply together to give 91.

    91 = 1 x 91
    91 = 7 x 13

    These are the only two factor pairs of 91.

    ### Answer: 1 x 91, 7 x 13

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

Llama 3 8B:

    To find the factor pairs of 76, we need to find the numbers that multiply together to give 76.

    76 = 1 x 76
    76 = 2 x 38
    76 = 4 x 19

    These are the only factor pairs of 76.

    ### Answer: 1 x 76, 2 x 38, 4 x 19

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

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 13?

Llama 3 8B:

    To find the factor pairs of 13, we need to find the numbers that multiply together to give 13.

    The only factor pairs of 13 are:

    * 1 and 13

    These are the only two numbers that multiply together to give 13.

    ### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

Llama 3 8B:

    To find the factor pairs of 64, we need to find all the numbers that divide 64 exactly without leaving a remainder.

    The factors of 64 are: 1, 2, 4, 8, 16, 32, and 64.

    Now, let's find the factor pairs:

    * 1 and 64
    * 2 and 32
    * 4 and 16
    * 8 and 8

    These are all the factor pairs of 64.

    ### Answer: 1 and 64, 2 and 32, 4 and 16, 8 and 8.

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 8?

Llama 3 8B:

    To find the factor pairs of 8, we need to find the numbers that multiply together to give 8.

    The factor pairs of 8 are:

    * 1 x 8 = 8
    * 2 x 4 = 8

    These are the only two factor pairs of 8.

    ### Answer: 1 x 8, 2 x 4.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 80.

Llama 3 8B:

    To find the factor pairs of 80, we need to find the numbers that multiply together to give 80.

    The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

    Now, let's find the factor pairs:

    * 1 and 80
    * 2 and 40
    * 4 and 20
    * 5 and 16
    * 8 and 10

    These are all the factor pairs of 80.

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.

Llama 3 8B:

    To find the factor pairs for the number 96, we need to find all the numbers that divide 96 exactly without leaving a remainder.

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

    Now, let's find the factor pairs by combining each factor with another factor to get the product equal to 96:

    1. 1 × 96 = 96
    2. 2 × 48 = 96
    3. 3 × 32 = 96
    4. 4 × 24 = 96
    5. 6 × 16 = 96
    6. 8 × 12 = 96

    These are all the factor pairs for the number 96.

    ### Answer: 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.

Llama 3 8B:

    To find the factor pairs of 19, we need to find the numbers that divide 19 exactly without leaving a remainder.

    The only factor pairs of 19 are:

    * 1 and 19

    Since 19 is a prime number, it only has two factors: 1 and itself.

    ### Answer: 1 and 19

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 37 is a prime number, it only has two factor pairs: (1, 37) and (37, 1).
    ### Answer: (1, 37) and (37, 1)

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    The factor pairs of the number 6 are:

    1. 1 x 6
    2. 2 x 3

    These are all the possible combinations of numbers that multiply together to give 6.

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

Llama 3 8B:

    To find the factor pairs of 58, we need to find the numbers that multiply together to give 58.

    The factor pairs of 58 are:

    1. 1 x 58 = 58
    2. 2 x 29 = 58

    These are the only two factor pairs of 58.

    ### Answer: 1 x 58, 2 x 29

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 81, we need to find the numbers that multiply together to give 81.

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

    These are the only factor pairs of 81, since 81 is a perfect square (9^2).

    ### Answer: 1 x 81, 3 x 27, 9 x 9

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 85, we need to find the numbers that divide 85 exactly without leaving a remainder.

    The factors of 85 are: 1, 5, 17, and 85.

    Now, let's find the factor pairs:

    * 1 and 85 (since 1 x 85 = 85)
    * 5 and 17 (since 5 x 17 = 85)

    These are all the factor pairs of the number 85.

    ### Answer: 1 and 85, 5 and 17.

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs for the number 93, we need to find the numbers that divide 93 exactly without leaving a remainder.

    93 = 1 x 93
    93 = 3 x 31

    These are the only two factor pairs for the number 93.

    ### Answer: 1 x 93, 3 x 31

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

Llama 3 8B:

    To find the factor pairs of 24, we need to find the numbers that multiply together to give 24.

    The factor pairs of 24 are:

    1. 1 and 24
    2. 2 and 12
    3. 3 and 8
    4. 4 and 6

    These are all the possible factor pairs of 24.

    ### Answer: 1 and 24, 2 and 12, 3 and 8, 4 and 6.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 97.

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 97 is a prime number, it only has two factor pairs: (1, 97) and (97, 1).
    ### Answer: (1, 97) and (97, 1)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Llama 3 8B:

    To find the factor pairs of 57, we need to find the numbers that divide 57 exactly without leaving a remainder.

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

    The factor pairs of 57 are:

    * (1, 57)
    * (3, 19)

    These are the only two factor pairs of the number 57.

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

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 19.

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. For 19, the only factor pair is 1 and 19, since 19 is a prime number.

    1 × 19 = 19

    ### Answer: (1, 19)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Llama 3 8B:

    To find the factor pairs of 38, we need to find the numbers that multiply together to give 38.

    38 = 1 × 38
    38 = 2 × 19

    These are the only two factor pairs of 38.

    ### Answer: 1 × 38, 2 × 19

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of the number 6, we need to find all the numbers that divide 6 exactly without leaving a remainder.

    The factors of 6 are: 1, 2, 3, and 6.

    Now, let's find the factor pairs:

    * 1 and 6 (since 1 x 6 = 6)
    * 2 and 3 (since 2 x 3 = 6)

    These are all the factor pairs of the number 6.

    ### Answer: 1 and 6, 2 and 3.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

Llama 3 8B:

    Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. For 17, the only factor pair is (1, 17) because 1 x 17 = 17.
    ### Answer: (1, 17)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Llama 3 8B:

    To find the factor pairs of 45, we need to find the numbers that multiply together to give 45.

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

    Now, let's find the factor pairs:

    * 1 and 45 (since 1 x 45 = 45)
    * 3 and 15 (since 3 x 15 = 45)
    * 5 and 9 (since 5 x 9 = 45)

    These are all the factor pairs of 45.

    ### Answer: 1 and 45, 3 and 15, 5 and 9.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 36.

Llama 3 8B:

    To find the factor pairs of 36, we need to find the numbers that multiply together to give 36.

    36 = 1 x 36
    36 = 2 x 18
    36 = 3 x 12
    36 = 4 x 9
    36 = 6 x 6

    These are all the factor pairs of 36.

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 89?

Llama 3 8B:

    To find the factor pairs of 89, we need to find the numbers that multiply together to give 89.

    Since 89 is a prime number, it only has two factor pairs: (1, 89) and (89, 1).

    ### Answer: (1, 89) and (89, 1)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 89.

Llama 3 8B:

    To find the factor pairs of 89, we need to find the numbers that multiply together to give 89.

    The only factor pair of 89 is:

    1 × 89 = 89

    Since 89 is a prime number, it only has two factors: 1 and itself.

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 44, we need to find the numbers that multiply together to give 44.

    The factor pairs of 44 are:

    1. 1 x 44 = 44
    2. 2 x 22 = 44
    3. 4 x 11 = 44

    These are all the possible factor pairs of the number 44.

    ### Answer: 1 x 44, 2 x 22, 4 x 11.

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

Llama 3 8B:

    To find the factor pairs of 36, we need to find the numbers that divide 36 exactly without leaving a remainder.

    36 = 1 x 36
    36 = 2 x 18
    36 = 3 x 12
    36 = 4 x 9
    36 = 6 x 6

    These are all the factor pairs of 36.

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.

Llama 3 8B:

    To find the factor pairs of 35, we need to find the numbers that divide 35 exactly without leaving a remainder.

    The factors of 35 are: 1, 5, 7, and 35.

    Now, let's find the possible factor pairs:

    * 1 and 35 (since 1 x 35 = 35)
    * 5 and 7 (since 5 x 7 = 35)

    These are all the possible factor pairs of the number 35.

    ### Answer: (1, 35), (5, 7)

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

Llama 3 8B:

    To find the factor pairs of 22, we need to find the numbers that multiply together to give 22.

    The factor pairs of 22 are:

    1. 1 x 22 = 22
    2. 2 x 11 = 22

    These are the only two factor pairs of 22.

    ### Answer: 1 x 22 = 22, 2 x 11 = 22

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

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

Llama 3 8B:

    To find the factor pairs of 40, we need to find all the numbers that divide 40 exactly without leaving a remainder.

    The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

    Now, let's find the factor pairs by combining each factor with another factor to get 40:

    * 1 and 40
    * 2 and 20
    * 4 and 10
    * 5 and 8

    These are all the factor pairs of 40.

    ### Answer: (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.

Llama 3 8B:

    To find the factor pairs of 64, we need to find all the pairs of numbers that multiply together to give 64.

    Here are the factor pairs of 64:

    1. 1 x 64 = 64
    2. 2 x 32 = 64
    3. 4 x 16 = 64
    4. 8 x 8 = 64

    These are all the possible factor pairs of the number 64.

    ### Answer: 1 x 64, 2 x 32, 4 x 16, 8 x 8.

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

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 30.

Llama 3 8B:

    To find the factor pairs of 30, we need to find all the numbers that divide 30 exactly without leaving a remainder.

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

    Now, let's pair up these factors to get the factor pairs:

    * 1 and 30
    * 2 and 15
    * 3 and 10
    * 5 and 6

    These are all the factor pairs of 30.

    ### Answer: 1 and 30, 2 and 15, 3 and 10, 5 and 6.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 59.

Llama 3 8B:

    To find the factor pairs of 59, we need to find the numbers that divide 59 exactly without leaving a remainder.

    Since 59 is a prime number, it only has two factor pairs: (1, 59) and (59, 1).

    ### Answer: (1, 59) and (59, 1)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

Llama 3 8B:

    To find the factor pairs of 18, we need to find the numbers that divide 18 exactly without leaving a remainder.

    The factors of 18 are: 1, 2, 3, 6, 9, and 18.

    Now, let's pair them up:

    * 1 and 18
    * 2 and 9
    * 3 and 6

    These are all the factor pairs of 18.

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

Llama 3 8B:

    Since 61 is a prime number, it only has two factor pairs: (1, 61) and (61, 1).

    ### Answer: (1, 61) and (61, 1)

Expected answer: [(1, 61)]

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 86, we need to find the numbers that multiply together to give 86.

    86 = 1 × 86
    86 = 2 × 43

    These are the only two factor pairs of 86.

    ### Answer: 1 × 86, 2 × 43

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

Correct? Yes

🔗 Problem

Problem: List out all factor pairs of 57.

Llama 3 8B:

    To find the factor pairs of 57, we need to find the numbers that multiply together to give 57.

    57 = 1 x 57
    57 = 3 x 19

    These are the only two factor pairs of 57.

    ### Answer: 1 x 57, 3 x 19

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Llama 3 8B:

    To find the factor pairs of 38, we need to find the numbers that multiply together to give 38.

    38 = 1 × 38
    38 = 2 × 19

    These are the only two factor pairs of 38.

    ### Answer: 1 × 38, 2 × 19

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

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

Llama 3 8B:

    To find the factor pairs of 27, we need to find the numbers that multiply together to give 27.

    The factor pairs of 27 are:

    1. 1 x 27 = 27
    2. 3 x 9 = 27

    These are the only two factor pairs of 27.

    ### Answer: 1 x 27, 3 x 9

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

Correct? Yes

🔗 Problem

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

Llama 3 8B:

    To find the factor pairs of 78, we need to find the numbers that divide 78 exactly without leaving a remainder.

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

    Now, let's pair up these factors to get the factor pairs:

    1. 1 and 78
    2. 2 and 39
    3. 3 and 26
    4. 6 and 13

    These are all the factor pairs of the number 78.

    ### Answer: 1 and 78, 2 and 39, 3 and 26, 6 and 13.

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

Correct? Yes

🔗 Problem

Problem: List out all the factor pairs of 23.

Llama 3 8B:

    To find the factor pairs of 23, we need to find the numbers that multiply together to give 23.

    The only factor pairs of 23 are:

    * 1 and 23

    These are the only two numbers that multiply together to give 23.

    ### Answer: 1 and 23

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

Llama 3 8B:

    The factor pairs of 2 are:

    * (1, 2)
    * (2, 1)

    Note that 2 is a prime number, which means it has only two distinct factors: 1 and itself.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

Llama 3 8B:

    To find the factor pairs of 49, we need to find the numbers that multiply together to give 49.

    49 = 1 x 49
    49 = 7 x 7

    These are the only two factor pairs of 49.

    ### Answer: 1 x 49, 7 x 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.

Llama 3 8B:

    To find the distinct pairs of factors that can multiply to give the number 93, we need to find all the factors of 93.

    The factors of 93 are: 1, 3, 31, and 93.

    Now, let's find the distinct pairs of factors:

    1. 1 and 93 (since 1 × 93 = 93)
    2. 3 and 31 (since 3 × 31 = 93)

    These are the only two distinct pairs of factors that can multiply to give the number 93.

    ### Answer: 1 and 93, 3 and 31.

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

Correct? Yes