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InternLM-Math Base 7B 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.

InternLM-Math Base 7B: 

 Reasoning: 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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 18, 2 and 9, 3 and 6.

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

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

InternLM-Math Base 7B: 

 Reasoning: 1 and 28 are factor pairs of 28. 2 and 14 are factor pairs of 28. 4 and 7 are factor pairs of 28. 1, 2, 4, 7, 14, and 28 are the factor pairs of 28.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 48.

InternLM-Math Base 7B: 

 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.

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 7 are <<1, 7>>1, 7 and <<-1, -7>>-1, -7.

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

InternLM-Math Base 7B: 

 Reasoning: 1 and 98 are factors of 98.
2 and 49 are factors of 98.
4 and 25 are factors of 98.
7 and 14 are factors of 98.
98 and 1 are factors of 98.
### Answer: 1, 2, 4, 7, 14, 25, 49, 98

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 26 2 and 13 13 and 2 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.

InternLM-Math Base 7B: 

 Reasoning: 1, 59

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

InternLM-Math Base 7B: 

 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.

InternLM-Math Base 7B: 

 1 2 4 5 10 20

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

Correct? Yes

🔗 Problem

Problem: Please list down all factor pairs of 13.

InternLM-Math Base 7B: 

 Reasoning: 1 and 13 are the factor pairs of 13.
### Answer: 1, 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

InternLM-Math Base 7B: 

 Reasoning: 1 and 81 3 and 27 9 and 9 27 and 3 81 and 1

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 76.

InternLM-Math Base 7B: 

 Reasoning: 1 and 76 2 and 38 4 and 19 8 and 9 76

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 50.

InternLM-Math Base 7B: 

 Reasoning: 1, 2, 5, 10, 25, 50
### Answer: 1, 2, 5, 10, 25, 50

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 76 2 and 38 4 and 19 8 and 9 76

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 56.

InternLM-Math Base 7B: 

 Reasoning: 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 44.

InternLM-Math Base 7B: 

 Reasoning: 1 and 44 2 and 22 4 and 11
### Answer: 1, 2, 4, 11, 22, 44

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 5.

InternLM-Math Base 7B: 

 Reasoning: 1 and 5, 5 and 1
### Answer: 1, 5

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

InternLM-Math Base 7B: 

 Reasoning: 1 and 95, 5 and 19, 19 and 5, 95 and 1

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

InternLM-Math Base 7B: 

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

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 59 are 1 and 59, and 59 and 1.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 3?

InternLM-Math Base 7B: 

 Reasoning: 3 = 1â‹…3. 3 = 3â‹…1. The factor pairs of 3 are 1â‹…3 and 3â‹…1.

Expected answer: [(1, 3)]

Correct? Yes

🔗 Problem

Problem: Could you list all factor pairs of 51?

InternLM-Math Base 7B: 

 The factor pairs of 51 are 1 and 51, 3 and 17, and 17 and 3.

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

InternLM-Math Base 7B: 

 1, 50 2, 25 5, 10

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 47.

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 47 are <<1, 47>> and <<47, 1>>.

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

InternLM-Math Base 7B: 

 1, 51 3, 17 7, 7

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 60.

InternLM-Math Base 7B: 

 Reasoning: 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: List all factor pairs of 43.

InternLM-Math Base 7B: 

 Reasoning: 1 and 43 are the only factor pairs of 43.

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

InternLM-Math Base 7B: 

 Reasoning: 1, 70 2, 35 5, 14 7, 10
### Answer: 1, 70 2, 35 5, 14 7, 10

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: The number 2 has 2 factors: 1 and 2.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

InternLM-Math Base 7B: 

 Reasoning: 49 = 1*49, 7*7
49 = 1*49, 7*7

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 17.

InternLM-Math Base 7B: 

 Reasoning: 1 and 17 1 and 17 2 and 8 2 and 8 3 and 5 3 and 5 4 and 4 4 and 4 5 and 3 5 and 3 8 and 2 8 and 2 17 and 1 17 and 1

Expected answer: [(1, 17)]

Correct? No

🔗 Problem

Problem: Find all the factor pairs of 35.

InternLM-Math Base 7B: 

 1 and 35 5 and 7
### Answer: 1, 5, 7, 35

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

InternLM-Math Base 7B: 

 Reasoning: 1 and 91 7 and 13
91 = 1 × 91 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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 97 are the factor pairs of 97.
### Answer: 1, 97

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

InternLM-Math Base 7B: 

 Reasoning: 1 and 16, 2 and 8, 4 and 4.

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 21 are the factor pairs of 21.
### Answer: 1, 21

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 72 = 1 × 72 72 = 2 × 36 72 = 3 × 24 72 = 4 × 18 72 = 6 × 12 72 = 8 × 9 72 = 9 × 8 72 = 12 × 6 72 = 18 × 4 72 = 24 × 3 72 = 36 × 2 72 = 72 × 1

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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 38 are the factor pairs of 38.

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 94.

InternLM-Math Base 7B: 

 Reasoning: 1 and 94 2 and 47 4 and 23 7 and 13 94

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 32.

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 32 are <<1, 32>>1, 32<<2, 16>>2, 16<<4, 8>>4, 8<<5, 6>>5, 6<<8, 4>>8, 4<<16, 2>>16, 2<<32, 1>>32.

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 33.

InternLM-Math Base 7B: 

 Reasoning: 3*11 = 33, 3*11 = 33, 1*33 = 33, 1*33 = 33

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

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

InternLM-Math Base 7B: 

 Reasoning: 1, 59

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1, 2, 3, 6, 9, 18, 27, 54
### Answer: 1, 2, 3, 6, 9, 18, 27, 54

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

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

InternLM-Math Base 7B: 

 Reasoning: 1 and 85 are the only factor pairs of 85.

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 56 2 and 28 4 and 14 7 and 8 8 and 7 14 and 4 28 and 2 56 and 1

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 84 2 and 42 3 and 28 4 and 21 6 and 14 7 and 12 8 and 9 12 and 7 14 and 6 21 and 4 28 and 3 42 and 2 84 and 1

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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 36 2 and 18 3 and 12 4 and 9 6 and 6 9 and 4 12 and 3 18 and 2 36 and 1

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

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 85?

InternLM-Math Base 7B: 

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

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

InternLM-Math Base 7B: 

 Reasoning: 1 and 34 2 and 17 3 and 11 4 and 8 5 and 6 6 and 5 7 and 4 8 and 4 9 and 3 10 and 3 11 and 3 12 and 2 13 and 2 14 and 2 15 and 2 16 and 2 17 and 2 18 and 2 19 and 2 20 and 1 21 and 1 22 and 1 23 and 1 24 and 1 25 and 1 26 and 1 27 and 1 28 and 1 29 and 1 30 and 1 31 and 1 32 and 1 33 and 1 34 and 1

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 88.

InternLM-Math Base 7B: 

 Reasoning: 88 = 8 × 11
8 = 1 × 8
11 = 1 × 11
88 = 8 × 11
The factor pairs of 88 are 1 × 88, 8 × 11, and 1 × 1 × 8 × 11.

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 83 are a pair of factors of 83. 2 and 41 are a pair of factors of 83. 3 and 27 are a pair of factors of 83. 4 and 20 are a pair of factors of 83. 5 and 16 are a pair of factors of 83. 6 and 13 are a pair of factors of 83. 7 and 12 are a pair of factors of 83. 8 and 10 are a pair of factors of 83. 9 and 9 are a pair of factors of 83. 11 and 7 are a pair of factors of 83. 12 and 6 are a pair of factors of 83. 13 and 5 are a pair of factors of 83. 16 and 5 are a pair of factors of 83. 20 and 4 are a pair of factors of 83. 27 and 3 are a pair of factors of 83. 41 and 2 are a pair of factors of 83. 83 and 1 are a pair of factors of 83.

Expected answer: [(1, 83)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 60?

InternLM-Math Base 7B: 

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

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.

InternLM-Math Base 7B: 

 1, 58 2, 29 4, 15 5, 12 6, 10 7, 8 58, 1 29, 2 15, 4 12, 5 10, 6 8, 7

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

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

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

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

InternLM-Math Base 7B: 

 Reasoning: 1 and 91 7 and 13
### Answer: 1, 7, 13, 91

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

InternLM-Math Base 7B: 

 Reasoning: 1 and 76 2 and 38 4 and 19 76 and 1 38 and 2 19 and 4

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

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 13?

InternLM-Math Base 7B: 

 Reasoning: 1 and 13, 13 and 1

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

InternLM-Math Base 7B: 

 Reasoning: 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?

InternLM-Math Base 7B: 

 Reasoning: 1*8=8, 2*4=8, 8*1=8
1, 2, 4, 8

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 80.

InternLM-Math Base 7B: 

 Reasoning: 80 = 8 × 10. The factor pairs of 80 are: 1 × 80, 2 × 40, 4 × 20, 8 × 10.

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

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

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

Correct? Yes

🔗 Problem

Problem: Calculate all factor pairs of 19.

InternLM-Math Base 7B: 

 Reasoning: 1 and 19 are the factor pairs of 19.

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

InternLM-Math Base 7B: 

 Reasoning: 1 and 37 are the only two factor pairs of 37.
### Answer: 1, 37

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: The number 6 has 3 factor pairs: 1x6, 2x3, 3x2.

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

InternLM-Math Base 7B: 

 Reasoning: 1 and 58 are the factor pairs of 58.
### Answer: 1, 58

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

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 81, 3 and 27, 9 and 9.

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 93 3 and 31 7 and 13
### Answer: 1, 3, 7, 13, 31, 93

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 24.

InternLM-Math Base 7B: 

 Reasoning: 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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 97 are the only factor pairs of 97.
### Answer: 1, 97

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

InternLM-Math Base 7B: 

 Reasoning: 1 and 57 3 and 19 9 and 6 57

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

InternLM-Math Base 7B: 

 Reasoning: 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1*19, 19 = 1

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

InternLM-Math Base 7B: 

 Reasoning: 1, 2, 19, 38
### Answer: 1, 2, 19, 38

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 6, 2 and 3, 1 and 6, 2 and 3, 1 and 6, 2 and 3, 1 and 6, 2 and 3.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 17 are <<1*17 17*1 2*8 8*2 17*1 1*17>>.

Expected answer: [(1, 17)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 45.

InternLM-Math Base 7B: 

 Reasoning: 1 and 45 3 and 15 5 and 9 9 and 5 15 and 3 45 and 1

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 36.

InternLM-Math Base 7B: 

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

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 89?

InternLM-Math Base 7B: 

 Reasoning: 1 and 89
89
1 and 89
### Answer: 1, 89

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 89.

InternLM-Math Base 7B: 

 Reasoning: 1 and 89 are factor pairs of 89.
89 is a prime number, so it has no other factor pairs.
### Answer: 1, 89

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 44 2 and 22 4 and 11
### Answer: 1, 2, 4, 11, 22, 44

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

InternLM-Math Base 7B: 

 Reasoning: 1 and 36 2 and 18 3 and 12 4 and 9 6 and 6 9 and 4 12 and 3 18 and 2 36 and 1

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.

InternLM-Math Base 7B: 

 Reasoning: 1 and 35, 5 and 7, 35 and 1.

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 22 are <<1, 22>> and <<2, 11>>.

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

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

InternLM-Math Base 7B: 

 Reasoning: 1 and 40, 2 and 20, 4 and 10, 5 and 8, 8 and 5, 10 and 4, 20 and 2, 40 and 1

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: The number 64 is a perfect square. The factor pair of 64 is <<64*1=64>>64*1 and <<64*1=64>>64*1.

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 30.

InternLM-Math Base 7B: 

 Reasoning: 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.

InternLM-Math Base 7B: 

 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59 1, 59

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

InternLM-Math Base 7B: 

 Reasoning: 1 and 18, 2 and 9, 3 and 6
### Answer: 1, 2, 3, 6, 9, 18

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

InternLM-Math Base 7B: 

 Reasoning: 1 and 61, 61 and 1, 7 and 9, 9 and 7.

Expected answer: [(1, 61)]

Correct? No

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: 1 and 86, 2 and 43, 43 and 2, 86 and 1

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

Correct? Yes

🔗 Problem

Problem: List out all factor pairs of 57.

InternLM-Math Base 7B: 

 Reasoning: 1 and 57 are factor pairs of 57. 3 and 19 are factor pairs of 57. 5 and 11 are factor pairs of 57. 7 and 8 are factor pairs of 57.

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

InternLM-Math Base 7B: 

 Reasoning: 1, 2, 19, 38
### Answer: 1, 2, 19, 38

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

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

InternLM-Math Base 7B: 

 Reasoning: 1 and 27, 3 and 9, 9 and 3, 27 and 1

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

Correct? Yes

🔗 Problem

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

InternLM-Math Base 7B: 

 Reasoning: The factor pairs of 78 are 1 and 78, 2 and 39, 3 and 26, 6 and 13, 7 and 11, 9 and 8.

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

Correct? No

🔗 Problem

Problem: List out all the factor pairs of 23.

InternLM-Math Base 7B: 

 Reasoning: 1 and 23, 2 and 11, 23 and 1

Expected answer: [(1, 23)]

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 2.

InternLM-Math Base 7B: 

 1 and 2.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

InternLM-Math Base 7B: 

 Reasoning: 1 and 49, 7 and 7, 49 and 1

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.

InternLM-Math Base 7B: 

 Reasoning: 1*93, 3*31, 31*3, 93*1
### Answer: 1*93, 3*31, 31*3, 93*1

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

Correct? Yes