🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

    Reasoning: A factor pair of 64 is a pair of factors that multiply to 64.
    The factors of 64 are:
    1 and 64
    2 and 32
    4 and 16
    8 and 8
    Therefore, the factor pairs of 64 are:
    (1, 64)
    (2, 32)
    (4, 16)
    (8, 8)

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 18.

Gemma 2B:

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

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

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

Gemma 2B:

    Reasoning: A factor pair of 28 is a pair of factors that multiply to give 28.
    The factors of 28 are:
    1 and 28
    2 and 14
    4 and 7
    Therefore, the factor pairs of 28 are:
    (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.

Gemma 2B:

    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:

    Sure, here are the factor pairs of 7:

    (1, 7)

    (2, 7)

    (3, 7)

    (4, 7)

    (5, 7)

    (6, 7)

    (7, 7)

Expected answer: [(1, 7)]

Correct? No

🔗 Problem

Problem: Write down every pair of factors of 98.

Gemma 2B:

    The factors of 98 are:

    1 and 98

    2 and 49

    3 and 34

    4 and 24

    5 and 19

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of the number 26 are:

    (1, 26)

    (2, 13)

    (3, 9)

    (4, 6)

    (5, 5)

    (6, 4)

    (7, 3)

    (8, 3)

    (9, 3)

    (10, 3)

    (11, 2)

    (12, 2)

    (13, 2)

    (14, 2)

    (15, 2)

    (16, 1)

    (17, 1)

    (18, 1)

    (19, 1)

    (20, 1)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 59.

Gemma 2B:

    The factors of 59 are:

    1 * 59

    7 * 8

    17 * 3

    59

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: Find out all factor pairs of 20.

Gemma 2B:

    Reasoning: A factor pair of 20 is a pair of factors that add up to 20. The factors of 20 are:
    1 and 20
    2 and 10
    4 and 5
    5 and 4
    Therefore, the factor pairs of 20 are:
    (1, 20)
    (2, 10)
    (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)

    (5, 4)

    (6, 3)

    (8, 2)

    (10, 2)

    (12, 1)

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

Correct? No

🔗 Problem

Problem: Please list down all factor pairs of 13.

Gemma 2B:

    The factor pairs of 13 are:

    (1, 13)

    (3, 4)

    (4, 3)

    (5, 26)

    (6, 2)

Expected answer: [(1, 13)]

Correct? No

🔗 Problem

Problem: Find all factor pairs of 81.

Gemma 2B:

    Reasoning: A factor pair of 81 is a pair of factors that multiply to give 81.
    The factors of 81 are:
    1 and 81
    3 and 27
    9 and 9
    So, the factor pairs of 81 are (1, 81) and (3, 27).

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 76.

Gemma 2B:

    Answer: (1, 76), (2, 38), (4, 19), (8, 9), (16, 4)

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)

    (4, 12.5)

    (5, 10)

    (6, 8)

    (10, 5)

    (12, 4)

    (25, 2)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: The factors of 76 are:
    1 and 76
    2 and 38
    4 and 19
    6 and 12
    8 and 9
    So, the factor pairs of 76 are:
    (1, 76)
    (2, 38)
    (4, 19)
    (6, 12)
    (8, 9)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 56.

Gemma 2B:

    Answer: (1, 56), (2, 28), (4, 14), (8, 7), (16, 4)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of 44 are:

    (1, 44)

    (2, 22)

    (4, 11)

    (6, 7)

    (8, 5)

    (11, 4)

    (14, 2)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 5.

Gemma 2B:

    Answer: (1, 5), (5, 1)

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Gemma 2B:

    Answer: The factor pairs of 95 are:

    (5, 19)

    (7, 13)

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

Correct? No

🔗 Problem

Problem: Please list all the factor pairs of 36.

Gemma 2B:

    The factor pairs of 36 are:

    (1, 36)

    (2, 18)

    (3, 12)

    (4, 9)

    (6, 6)

    (7, 4)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 59 are:
    1 and 59
    2 and 29
    7 and 7
    Therefore, the factor pairs of 59 are:
    (1, 59)
    (2, 29)
    (7, 7)

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 3?

Gemma 2B:

    Reasoning: The factor pairs of 3 are:
    (1, 3)
    (2, 3)
    (3, 3)
    The factor pairs of 3 are the same, so there are 2 factor pairs of 3.

Expected answer: [(1, 3)]

Correct? No

🔗 Problem

Problem: Could you list all factor pairs of 51?

Gemma 2B:

    The factor pairs of 51 are:

    (1, 51)

    (3, 17)

    (7, 7)

    (9, 5)

    (13, 3)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 50.

Gemma 2B:

    Answer: (5, 10), (10, 5), (15, 10), (20, 10), (25, 10), (30, 10), (35, 10), (40, 10), (45, 10), (50, 10)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 47.

Gemma 2B:

    47 = 1 * 47.

    Therefore, the factors of 47 are 1 and 47.

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Gemma 2B:

    The factors of 51 are:

    1 * 51

    3 * 17

    7 * 7

    Therefore, the factors of 51 are 1, 3, 7, and 17.

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 60.

Gemma 2B:

    Answer: (1, 60), (2, 30), (3, 20), (4, 15), (6, 10)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 43.

Gemma 2B:

    Answer: 1 and 43, 3 and 14, 7 and 6, 11 and 43.

Expected answer: [(1, 43)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 70.

Gemma 2B:

    Answer: 1 and 70, 2 and 35, 4 and 17.

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

Correct? No

🔗 Problem

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

Gemma 2B:

    The factors of 2 are:

    1. 1
    2. 2

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Gemma 2B:

    Answer: 7 and 7, 7 and 7, 7 and 7, 7 and 7, 7 and 7, 7 and 7, 7 and 7

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 17.

Gemma 2B:

    Reasoning: A factor pair of 17 is a pair of factors that multiply to 17. The factors of 17 are:

    1 and 17

    Therefore, the factor pairs of 17 are (1, 17) and (17, 1).

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Gemma 2B:

    Reasoning: A factor pair of 35 is a pair of factors that multiply to 35.
    The factors of 35 are:
    1 and 35
    5 and 7
    Therefore, the factor pairs of 35 are (1, 35) and (5, 7).

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

Gemma 2B:

    Answer: The factor pairs of 91 are:

    (1, 91)

    (7, 13)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 97.

Gemma 2B:

    Answer: The factor pairs of 97 are:

    (1, 97)

    (7, 13)

    (9, 11)

    (13, 7)

Expected answer: [(1, 97)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 16?

Gemma 2B:

    Reasoning: A factor pair of 16 is a pair of factors that multiply to give 16. The factors of 16 are:
    1 * 16
    2 * 8
    4 * 4
    So, the factor pairs of 16 are:
    (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.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 21 are:
    1 and 21
    3 and 7
    Therefore, the factor pairs of 21 are (1, 21) and (3, 7).

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

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Sure, here are the factor pairs of 72:

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

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

Correct? No

🔗 Problem

Problem: Determine all the factor pairs of 38.

Gemma 2B:

    Reasoning: A factor pair of 38 is a pair of factors that multiply to 38.
    The factors of 38 are:
    1 and 38
    2 and 19
    3 and 12
    4 and 9
    So, the factor pairs of 38 are:
    (1, 38)
    (2, 19)
    (3, 12)
    (4, 9)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 94.

Gemma 2B:

    Answer: The factor pairs of 94 are:

    (1, 94)

    (2, 47)

    (3, 34)

    (4, 23)

    (7, 14)

    (9, 10)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 32.

Gemma 2B:

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

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 33.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 33 are:
    1 and 33
    3 and 11
    9 and 3
    11 and 3
    Therefore, the factor pairs of 33 are (1, 33) and (3, 11).

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

Correct? No

🔗 Problem

Problem: Write down all the factor pairs of 59.

Gemma 2B:

    The factor pairs of 59 are:

    (1, 59)

    (7, 8)

    (17, 3)

    (29, 1)

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of the number 54 are:

    (1, 54)

    (2, 27)

    (3, 18)

    (6, 9)

    (9, 6)

    (18, 3)

    (27, 1)

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

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 85 are:
    1 and 85
    5 and 17
    7 and 13
    Therefore, the factor pairs of 85 are:
    (1, 85)
    (5, 17)
    (7, 13)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 56 are:
    1 and 56
    2 and 28
    4 and 14
    8 and 6
    Therefore, the factor pairs of 56 are:
    (1, 56)
    (2, 28)
    (4, 14)
    (8, 6)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of the number 24 are:

    (1, 24)

    (2, 12)

    (3, 8)

    (4, 6)

    (6, 4)

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:

    Reasoning: The factors of 84 are:
    <ul>
    <li>1 and 84</li>
    <li>2 and 42</li>
    <li>3 and 28</li>
    <li>7 and 12</li>
    <li>42 and 21</li>
    </ul>
    ### Answer: 1 and 84, 2 and 42, 3 and 28, 7 and 12, 42 and 21

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:

    Reasoning: A factor pair of a number is a pair of factors that multiply to the original number.
    The factors of 36 are:
    1 and 36
    2 and 18
    3 and 12
    4 and 9
    So, the factor pairs of 36 are:
    (1, 36)
    (2, 18)
    (3, 12)
    (4, 9)

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

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 85?

Gemma 2B:

    Reasoning: The factors of 85 are:
    <ul>
    <li>1 and 85</li>
    <li>5 and 17</li>
    <li>7 and 13</li>
    <li>35 and 2.85</li>
    </ul>
    ### Answer: 1 and 85, 5 and 17, 7 and 13, 35 and 2.85

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 34.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 34 are:
    1 and 34
    2 and 17
    3 and 12
    4 and 8
    So, the factor pairs of 34 are:
    (1, 34)
    (2, 17)
    (3, 12)
    (4, 8)

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 88.

Gemma 2B:

    Reasoning: A factor pair of 88 is a pair of factors that multiply to give 88.
    The factors of 88 are:
    1 and 88
    2 and 44
    4 and 22
    8 and 11
    Therefore, the factor pairs of 88 are:
    (1, 88)
    (2, 44)
    (4, 22)
    (8, 11)

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

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Answer: 1 * 83, 3 * 29, 7 * 11

Expected answer: [(1, 83)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 60?

Gemma 2B:

    Reasoning: A factor pair of 60 is a pair of factors that multiply to 60.
    The factors of 60 are:
    1 and 60
    2 and 30
    3 and 20
    4 and 15
    6 and 10
    Therefore, the factor pairs of 60 are:
    (1, 60)
    (2, 30)
    (3, 20)
    (4, 15)
    (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:

    Answer: 1 * 58, 2 * 29, 4 * 14, 7 * 8

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

Correct? No

🔗 Problem

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

Gemma 2B:

    The factor pairs of the number 40 are:

    (1, 40)

    (2, 20)

    (4, 10)

    (5, 8)

    (8, 5)

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

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

Gemma 2B:

    Answer: 7 and 13

    Reasoning: A factor pair of 91 is a pair of factors that multiply to give 91. The factors of 91 are 1 and 91, and 7 and 13 are these two factors.

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

Gemma 2B:

    Answer: The factor pairs of 76 are:

    (1, 76)

    (2, 38)

    (4, 19)

    (8, 9)

    (16, 4)

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

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 13?

Gemma 2B:

    Reasoning: The factor pairs of 13 are:
    1 and 13
    2 and 6
    3 and 4
    4 and 3
    5 and 2
    6 and 2
    So, the factor pairs of 13 are:
    (1, 13)
    (2, 6)
    (3, 4)
    (4, 3)
    (5, 2)
    (6, 2)

Expected answer: [(1, 13)]

Correct? No

🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

    Reasoning: A factor pair of 64 is a pair of factors that multiply to 64.
    The factors of 64 are:
    1 and 64
    2 and 32
    4 and 16
    8 and 8
    Therefore, the factor pairs of 64 are:
    (1, 64)
    (2, 32)
    (4, 16)
    (8, 8)

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 8?

Gemma 2B:

    Reasoning: A factor pair of 8 is a pair of factors that multiply to give 8. The factors of 8 are 1 and 8.
    ### Answer: (1, 8)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 80.

Gemma 2B:

    Answer: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10)

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:

    Reasoning: A factor pair for 96 is a pair of factors that multiply to give 96.
    The factors of 96 are:
    1 and 96
    2 and 48
    3 and 32
    4 and 24
    6 and 16
    Therefore, the factor pairs for 96 are:
    (1, 96)
    (2, 48)
    (3, 32)
    (4, 24)
    (6, 16)

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

Correct? No

🔗 Problem

Problem: Calculate all factor pairs of 19.

Gemma 2B:

    Reasoning: A factor pair of 19 is a pair of factors that multiply to 19.
    The factors of 19 are:
    1 and 19
    2 and 9
    3 and 6
    4 and 4
    5 and 3
    7 and 1

Expected answer: [(1, 19)]

Correct? No

🔗 Problem

Problem: What are all factor pairs of 37?

Gemma 2B:

    Reasoning: A factor pair of 37 is a pair of factors that multiply to 37. The factors of 37 are 1 and 37.
    ### Answer: 1 and 37

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

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

Gemma 2B:

    The factors of 6 are:

    (1, 6)
    (2, 3)
    (3, 2)

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

Gemma 2B:

    Answer: 1 * 58, 2 * 29, 4 * 14, 7 * 8

    Reasoning: The factors of 58 are 1 and 58, 2 and 29, 4 and 14, and 7 and 8.

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of the number 81 are:

    (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:

    The factors of 85 are:

    (1, 85)
    (5, 17)
    (7, 11)
    (13, 7)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: 1 and 93, 3 and 31, 9 and 93

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 24.

Gemma 2B:

    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.

Gemma 2B:

    Answer: The factor pairs of 97 are:

    (1, 97)

    (7, 14)

    (9, 13)

    (13, 7)

    (17, 6)

Expected answer: [(1, 97)]

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to give the original number.
    The factors of 57 are:
    1 and 57
    2 and 29
    3 and 19
    4 and 14
    Therefore, the factor pairs of 57 are:
    (1, 57)
    (2, 29)
    (3, 19)
    (4, 14)

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

Gemma 2B:

    19 = 1 * 19
    19 = 3 * 6
    19 = 7 * 2

Expected answer: [(1, 19)]

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

    Reasoning: A factor pair of 38 is a pair of factors that multiply to 38.
    The factors of 38 are:
    1 and 38
    2 and 19
    3 and 12
    4 and 9
    So, the factor pairs of 38 are:
    (1, 38)
    (2, 19)
    (3, 12)
    (4, 9)

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

Correct? No

🔗 Problem

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

Gemma 2B:

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

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 17.

Gemma 2B:

    The factors of 17 are:

    1 * 17

    Therefore, the factors of 17 are the same as the factors of 17, which are 1 and 17.

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Gemma 2B:

    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)

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:

    Reasoning: A factor pair of 89 is a pair of factors that multiply to give 89.
    The factors of 89 are:
    1 and 89
    7 and 13
    The two factors that multiply to give 89 are 7 and 13.

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of 89.

Gemma 2B:

    Answer: 1 and 89, 7 and 13, 8 and 17, 9 and 9

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: The factor pairs of 44 are:

    (1, 44)

    (2, 22)

    (4, 11)

    (6, 7)

    (8, 5)

    (11, 4)

    (14, 2)

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 36.

Gemma 2B:

    Reasoning: A factor pair of a number is a pair of factors that multiply to the original number.
    The factors of 36 are:
    1 and 36
    2 and 18
    3 and 12
    4 and 9
    So, the factor pairs of 36 are:
    (1, 36)
    (2, 18)
    (3, 12)
    (4, 9)

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

Correct? No

🔗 Problem

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

Gemma 2B:

    The factors of 35 are:

    1 * 5 * 7

    Therefore, the possible factor pairs of the number 35 are:

    (1, 5, 7)

    (5, 7)

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

Gemma 2B:

    The factors of 22 are:

    (1, 22)
    (2, 11)
    (3, 7)
    (4, 5)

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

Correct? No

🔗 Problem

Problem: Find all the factor pairs of 40.

Gemma 2B:

    Reasoning: A factor pair of 40 is a pair of factors that multiply to give 40.
    The factors of 40 are:
    1 and 40
    2 and 20
    4 and 10
    5 and 8
    Therefore, 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:

    Reasoning: The factors of 64 are:

    1 * 2 * 2 * 2 * 7 = 16 * 7

    Therefore, the factor pairs of 64 are:

    (1, 64)

    (2, 32)

    (4, 16)

    (8, 8)

    (16, 4)

    (32, 2)

    (64, 1)

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 30.

Gemma 2B:

    Reasoning: A factor pair of 30 is a pair of factors that multiply to 30.
    The factors of 30 are:
    1 and 30
    2 and 15
    3 and 10
    4 and 7
    5 and 6
    Therefore, the factor pairs of 30 are:
    (1, 30)
    (2, 15)
    (3, 10)
    (4, 7)
    (5, 6)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 59.

Gemma 2B:

    Answer: 1 * 59, 7 * 8, 17 * 3, 59 * 1

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 18.

Gemma 2B:

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

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

Gemma 2B:

    The factor pairs of 61 are:

    (1, 61)

    (7, 8)

    (17, 3)

    (37, 1)

Expected answer: [(1, 61)]

Correct? No

🔗 Problem

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

Gemma 2B:

    Reasoning: A factor pair of 86 is a pair of factors that multiply to give 86.
    The factors of 86 are:
    1 and 86
    2 and 43
    7 and 13
    Therefore, the factor pairs of 86 are:
    (1, 86)
    (2, 43)
    (7, 13)

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

Correct? No

🔗 Problem

Problem: List out all factor pairs of 57.

Gemma 2B:

    Answer: (1, 57), (3, 19), (7, 7), (9, 6)

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

    Reasoning: A factor pair of 38 is a pair of factors that multiply to 38.
    The factors of 38 are:
    1 and 38
    2 and 19
    3 and 12
    4 and 9
    So, the factor pairs of 38 are:
    (1, 38)
    (2, 19)
    (3, 12)
    (4, 9)

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

Correct? No

🔗 Problem

Problem: Please list all factor pairs of 27.

Gemma 2B:

    The factor pairs of 27 are:

    (1, 27)

    (3, 9)

    (9, 3)

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

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Reasoning: The factors of 78 are:
    1 and 78
    2 and 39
    3 and 26
    6 and 13
    Therefore, the factor pairs of 78 are:
    (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:

    The factor pairs of 23 are:

    (1, 23)

    (3, 7)

    (7, 3)

    (13, 1)

Expected answer: [(1, 23)]

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 2.

Gemma 2B:

    (1,2)
    (2,4)
    (4,8)
    (8,16)
    (16,32)
    (32,64)
    (64,128)
    (128,256)
    (256,512)
    (512,1024)
    (1024,2048)
    (2048,4096)
    (4096,8192)
    (8192,16384)
    (16384,32768)
    (32768,65536)
    (65536,131072)
    (131072,262144)
    (262144,524288)
    (524288,1048576)
    (1048576,2097152)
    (2097152,4194304)
    (4194304,8388608)
    (8388608,16777216)
    (16777216,33554432)
    (33554432,67108864)
    (67108864,134217728)
    (134217728,268435456)
    (268435456,536870912)
    (536870912,1073742240)
    (1073742240,2147484480)
    (2147484480,4294969600)

Expected answer: [(1, 2)]

Correct? No

🔗 Problem

Problem: Write down all the factor pairs of 49.

Gemma 2B:

    49 = 1 * 49.

    Therefore, the factors of 49 are 1 and 49.

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

Correct? No

🔗 Problem

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

Gemma 2B:

    Answer: 3 and 31

    Reasoning: 3 and 31 are the distinct pairs of factors that can multiply to give the number 93.

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

Correct? No