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Gemma 2B on 4.OA.B.4

Common Core Standard 4.OA.B.4

This standard covers the following:

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 64 are:

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

### Answer: (1,64), (2,32), (4,16), (8,8)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 18.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 18 are:

1 and 18
2 and 9
3 and 6

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

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

Correct? No

🔗 Problem

Problem: Find all factor pairs of 28.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 28 are (1,28), (2,14), (4,7), and (7,4), (14,2), and (28,1).
### Answer: (1,28), (2,14), (4,7), and (7,4), (14,2), and (28,1)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of the number 48.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 48 are:

1 and 48
2 and 24
3 and 16
4 and 12
6 and 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? No

🔗 Problem

Problem: Write down all factor pairs of 7.

Gemma 2B:

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

Expected answer: [(1, 7)]

Correct? No

🔗 Problem

Problem: Write down every pair of factors of 98.

Gemma 2B:

 Reasoning: The factors of 98 are the numbers that can be multiplied together to get 98. The pairs of factors are:
1 and 98
2 and 49
7 and 14
### Answer: (1,98), (2,49), (7,14)

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 26 are (1,26) and (2,13).
### Answer: (1,26) and (2,13)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 59.

Gemma 2B:

 Reasoning: The number 59 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 59 is (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 20 are:
1 and 20
2 and 10
4 and 5

### Answer: (1,20), (2,10), (4,5)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 20.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 20 are:
1 and 20
2 and 10
4 and 5

### Answer: (1,20), (2,10), (4,5)

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

Correct? No

🔗 Problem

Problem: Please list down all factor pairs of 13.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 13 is a prime number, which means it has only two factors: 1 and itself.

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:

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

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 76.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 76 are:

1 and 76
2 and 38
4 and 19

### Answer: (1, 76), (2, 38), (4, 19)

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 50.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 50 are:
1 and 50
2 and 25
5 and 10
### Answer: (1,50), (2,25), (5,10)

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 76 are:
1 and 76
2 and 38
4 and 19
### Answer: (1,76), (2,38), (4,19)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 56.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 56 are:
(1,56), (2,28), (4,14), and (7,8).
### Answer: (1,56), (2,28), (4,14), and (7,8)

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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 44 are:
1 and 44
2 and 22
4 and 11
### Answer: (1,44), (2,22), (4,11)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 5.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 5 are (1,5) and (5,1).
### Answer: (1,5) and (5,1)

Expected answer: [(1, 5)]

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 95 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 95 is (1, 95).
### Answer: (1, 95)

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

Correct? No

🔗 Problem

Problem: Please list all the factor pairs of 36.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
### Answer: (1,36), (2,18), (3,12), (4,9), (6,6)

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: The number 59 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 59 is (1, 59).
### 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 is a pair of numbers that multiply together to give the original number. The factor pairs of 3 are (1,3) and (3,1).
### Answer: (1,3) and (3,1)

Expected answer: [(1, 3)]

Correct? No

🔗 Problem

Problem: Could you list all factor pairs of 51?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 51 are (1, 51) and (3, 17).
### Answer: (1, 51) and (3, 17)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 50 are:
1 and 50
2 and 25
5 and 10
### Answer: (1,50), (2,25), (5,10)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 47.

Gemma 2B:

 Reasoning: The number 47 is a prime number, which means it has only two factors: 1 and itself.
### Answer: (1, 47)

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Gemma 2B:

 Reasoning: The number 51 is not a perfect square, so it will have an odd number of factor pairs. To find the factor pairs, we can start by finding the smallest factor pair (1, 51) and then continue to find the other factor pairs by dividing 51 by each factor until we reach the largest factor pair.

The factor pairs of 51 are:
(1, 51)
(3, 17)

### Answer: (1, 51), (3, 17)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 60 are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
### Answer: (1,60), (2,30), (3,20), (4,15), (5,12), (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:

 Reasoning: The number 43 is a prime number, which means it has only two factors: 1 and itself.
### Answer: (1, 43)

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 70 are:
1 and 70
2 and 35
5 and 14
7 and 10
### Answer: (1,70), (2,35), (5,14), (7,10)

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:

 Reasoning: The factors of a number are the numbers that can be multiplied together to get that number. The factors of 2 are 1 and 2, because 1 \* 2 = 2.
### Answer: 1, 2

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Gemma 2B:

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

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 17.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. Since 17 is a prime number, it has only two factors: 1 and 17.
### Answer: (1, 17)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 35 are (1,35) and (5,7).
### Answer: (1,35) and (5,7)

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 91.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 91 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 91 is (1, 91).
### Answer: (1, 91)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of the number 97.

Gemma 2B:

 Reasoning: The number 97 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 97 is (1, 97).
### Answer: (1, 97)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 16 are (1,16), (2,8), and (4,4).
### Answer: (1,16), (2,8), and (4,4)

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

Correct? No

🔗 Problem

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

Gemma 2B:

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

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: The factor pairs of 72 are the pairs of numbers that multiply together to give 72.
The factor pairs of 72 are: (1,72), (2,36), (3,24), (4,18), (6,12), and (8,9).
### Answer: (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? No

🔗 Problem

Problem: Determine all the factor pairs of 38.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. To find the factor pairs of 38, we can start by listing the factors of 38 and then pairing them up.

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

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

### Answer: (1,38) and (2,19)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 94.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 94 are (1, 94) and (2, 47).
### Answer: (1, 94) and (2, 47)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 32.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 32 are:

1 and 32
2 and 16
4 and 8

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

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 is a pair of numbers that multiply together to give the original number. The factor pairs of 33 are (1,33) and (3,11).
### Answer: (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:

 Reasoning: The number 59 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 59 is (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 54 are:
1 and 54
2 and 27
3 and 18
6 and 9
### Answer: (1,54), (2,27), (3,18), (6,9)

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of the number 85.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. To find all factor pairs of 85, we need to find all pairs of numbers that multiply together to give 85.

The factor pairs of 85 are:
(1, 85)
(5, 17)

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

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

Correct? Yes

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 56 are:
1 and 56
2 and 28
4 and 14
7 and 8
### Answer: (1,56), (2,28), (4,14), (7,8)

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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 24 are:

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

### Answer: (1,24), (2,12), (3,8), (4,6)

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 84 are:
1 and 84
2 and 42
3 and 28
4 and 21
6 and 14
7 and 12
### Answer: 1 and 84, 2 and 42, 3 and 28, 4 and 21, 6 and 14, 7 and 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.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
### Answer: (1,36), (2,18), (3,12), (4,9), (6,6)

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 factor pairs of a number are the pairs of numbers that multiply together to give the original number. Since 85 is not a perfect square, it will have an odd number of factor pairs.

The factor pairs of 85 are:
(1, 85)
(5, 17)

### Answer: (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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 34 are (1,34) and (2,17).
### Answer: (1,34) and (2,17)

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 88.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 88 are:

1 and 88
2 and 44
4 and 22
8 and 11

### Answer: (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:

 Reasoning: The number 83 is a prime number, which means it has only two factors: 1 and itself.
### Answer: (1, 83)

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 60 are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
### Answer: 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, 6 and 10

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 58.

Gemma 2B:

 Reasoning: Factor pairs are pairs of numbers that multiply together to give the original number. To find the factor pairs of 58, we can start by finding the smallest factor pair, which is (1, 58). Then, we can find the next factor pair by dividing 58 by 2, which gives us (2, 29). We can continue this process until we reach the largest factor pair, which is (58, 1).

The factor pairs of 58 are:
(1, 58)
(2, 29)
(58, 1)

### Answer: (1, 58), (2, 29), (58, 1)

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

Correct? Yes

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 40 are:
1 and 40
2 and 20
4 and 10
5 and 8
8 and 5
10 and 4
20 and 2
40 and 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? No

🔗 Problem

Problem: Identify all the factor pairs of 91.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. Since 91 is a prime number, it only has two factors: 1 and itself.

The factor pairs of 91 are (1, 91) and (91, 1).

### Answer: (1, 91) and (91, 1)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 76.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 76 are:

1 and 76
2 and 38
4 and 19

### Answer: (1, 76), (2, 38), (4, 19)

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

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 13?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The only factor pair of 13 is 1 and 13, since 13 is a prime number and has no other factors besides 1 and itself.
### Answer: (1, 13)

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 64 are:

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

### Answer: (1,64), (2,32), (4,16), (8,8)

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 8?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 8 are (1,8) and (2,4).
### Answer: (1,8) and (2,4)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 80.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 80 are:

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

### 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 is a pair of numbers that multiply together to give the original number. The factor pairs for 96 are:

1 and 96
2 and 48
3 and 32
4 and 24
6 and 16
8 and 12

### Answer: (1,96), (2,48), (3,32), (4,24), (6,16), (8,12)

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 is a pair of numbers that multiply together to give the original number. Since 19 is a prime number, it has only two factors: 1 and 19.
### Answer: (1, 19)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. Since 37 is a prime number, it has only two factors: 1 and itself.
### Answer: (1, 37)

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 6 are (1,6) and (2,3).
### Answer: (1,6) and (2,3)

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 58.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 58 are (1,58) and (2,29).
### Answer: (1,58) and (2,29)

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 81 is a perfect square, so its factor pairs will include the square root of 81, which is 9.

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: Please list all factor pairs of the number 85.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 85 are (1, 85) and (5, 17).
### Answer: (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:

 Reasoning: The number 93 is not a perfect square, so it will have an odd number of factor pairs. To find the factor pairs, we can start by finding the smallest factor pair (1, 93) and then continue to find the other factor pairs by dividing 93 by increasing integers.

The factor pairs for 93 are:
(1, 93)
(3, 31)
(9, 10.333333333333334)

Since 93 is not a perfect square, it does not have any other factor pairs.

### Answer: (1, 93), (3, 31)

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 24 are:

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

### Answer: (1,24), (2,12), (3,8), (4,6)

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 97.

Gemma 2B:

 Reasoning: The number 97 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 97 is (1, 97).
### Answer: (1, 97)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 57 is a prime number, which means it has no factors other than 1 and itself. Therefore, the only factor pair of 57 is (1, 57).
### Answer: (1, 57)

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. Since 19 is a prime number, it has only two factors: 1 and 19.
### Answer: (1, 19)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 38 are (1,38) and (2,19).
### Answer: (1,38) and (2,19)

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 6 are (1,6) and (2,3).
### Answer: (1,6) and (2,3)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 17.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The number 17 is a prime number, which means it has only two factors: 1 and itself.

Therefore, the only factor pair of 17 is (1, 17).

### Answer: (1, 17)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 45 are:
1 and 45
3 and 15
5 and 9
### Answer: (1,45), (3,15), (5,9)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 36.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
### Answer: (1,36), (2,18), (3,12), (4,9), (6,6)

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 89?

Gemma 2B:

 Reasoning: Since 89 is a prime number, it has only 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.

Gemma 2B:

 Reasoning: The number 89 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 89 is (1, 89).
### Answer: (1, 89)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 44 are:

1 and 44
2 and 22
4 and 11

### Answer: (1,44), (2,22), (4,11)

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 is a pair of numbers that multiply together to give the original number. The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
### Answer: (1,36), (2,18), (3,12), (4,9), (6,6)

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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 35 are (1,35) and (5,7).
### Answer: (1,35) and (5,7)

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 22.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 22 are (1,22) and (2,11).
### Answer: (1,22) and (2,11)

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

Correct? No

🔗 Problem

Problem: Find all the factor pairs of 40.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 40 are:

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

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

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

Correct? No

🔗 Problem

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

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 64 are:
1 and 64
2 and 32
4 and 16
8 and 8
### Answer: (1,64), (2,32), (4,16), (8,8)

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 is a pair of numbers that multiply to give the original number. The factor pairs of 30 are:
1 and 30
2 and 15
3 and 10
5 and 6

### Answer: (1,30), (2,15), (3,10), (5,6)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 59.

Gemma 2B:

 Reasoning: The number 59 is a prime number, which means it has only two distinct positive divisors: 1 and itself. Therefore, the only factor pair of 59 is (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 18 are:

1 and 18
2 and 9
3 and 6

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

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

Correct? No

🔗 Problem

Problem: Please list all the factor pairs of 61.

Gemma 2B:

 Reasoning: The number 61 is a prime number, which means it has only two distinct positive divisors: 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:

 Reasoning: The factor pairs of a number are the pairs of numbers that multiply together to give the original number. To find the factor pairs of 86, we can start by finding the smallest factor pair, which is 1 and 86. Then, we can continue to find the other factor pairs by dividing 86 by each factor and checking if the quotient is a whole number.

The factor pairs of 86 are:
1 and 86
2 and 43

### Answer: 1 and 86, 2 and 43

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

Correct? Yes

🔗 Problem

Problem: List out all factor pairs of 57.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factors of 57 are 1, 3, 19, and 57. The factor pairs are (1,57) and (3,19).
### Answer: (1,57) and (3,19)

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 38 are (1,38) and (2,19).
### Answer: (1,38) and (2,19)

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

Correct? No

🔗 Problem

Problem: Please list all factor pairs of 27.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply to give the original number. The factor pairs of 27 are:

1 and 27
3 and 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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 78 are:

1 and 78
2 and 39
3 and 26
6 and 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:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. Since 23 is a prime number, it only has two factors: 1 and itself.

The factor pairs of 23 are (1, 23).
### Answer: (1, 23)

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

Gemma 2B:

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

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

Gemma 2B:

 Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. The factor pairs of 49 are:

1 and 49
7 and 7

### Answer: (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:

 Reasoning: The number 93 is a prime number, which means it has no factors other than 1 and itself. Therefore, the only distinct pair of factors that can multiply to give the number 93 is (1, 93).
### Answer: (1, 93)

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

Correct? No