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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: List all the factor pairs of 5.

Gemma 2B:

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

Expected answer: [(1, 5)]

Correct? Yes

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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: List all factor pairs of 59.

Gemma 2B:

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

Expected answer: [(1, 59)]

Correct? No

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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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