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CodeLlama 34B 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.

CodeLlama 34B: 

  Reasoning: To find all factor pairs of 64, we need to find all pairs of numbers whose product is 64.

One way to do this is to list all the factors of 64:

1, 2, 4, 8, 16, 32, 64

Then, we can find all the pairs of numbers that multiply to 64:

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

Therefore, the factor pairs of 64 are:

(1, 64), (2, 32), (4, 16), (8, 8), (16, 4), (32, 2)

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

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 18.

CodeLlama 34B: 

  The factor pairs of 18 are:

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

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

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 28, we need to find all the pairs of numbers that multiply to 28.

Factor pairs of 28:

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

Therefore, the factor pairs of 28 are (2, 14), (4, 7), (7, 4), and (14, 2).

### Answer: (2, 14), (4, 7), (7, 4), and (14, 2)

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

Correct? No

🔗 Problem

Problem: List all factor pairs of the number 48.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 48, we need to find all the pairs of numbers that multiply to 48.

Factor pairs of 48:

1. 1 x 48
2. 2 x 24
3. 3 x 16
4. 4 x 12
5. 6 x 8
6. 8 x 6
7. 12 x 4
8. 24 x 2

### Answer: 8

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 7.

CodeLlama 34B: 

  The factor pairs of 7 are:

1. 1 and 7
2. 3 and 2
3. 5 and 1

### Answer: 1, 7, 3, 2, 5, 1

Expected answer: [(1, 7)]

Correct? No

🔗 Problem

Problem: Write down every pair of factors of 98.

CodeLlama 34B: 

  The factors of 98 are:

1, 2, 3, 4, 6, 9, 12, 18, 36, 72

Therefore, every pair of factors of 98 is:

(1, 98), (2, 49), (3, 32), (4, 24), (6, 16), (9, 11), (12, 8), (18, 5), (36, 3), (72, 1)

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 26 are:

1. 1 and 26
2. 2 and 13
3. 3 and 9
4. 4 and 6
5. 6 and 4

There are a total of 5 factor pairs of the number 26.

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 59.

CodeLlama 34B: 

  The factor pairs of 59 are:

1 and 59
3 and 19
5 and 11
7 and 8
### Answer: 1, 3, 5, 7, 11, 19, 24, 33, 41, 59.

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: Find out all factor pairs of 20.

CodeLlama 34B: 

  Reasoning: To find all factor pairs of 20, we need to find all pairs of numbers whose product is 20.

Possible factor pairs of 20:

1. 1 x 20
2. 2 x 10
3. 4 x 5

Therefore, the factor pairs of 20 are (1, 20), (2, 10), and (4, 5).

### Answer: (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.

CodeLlama 34B: 

  The factor pairs of 20 are:

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

### Answer: 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.

CodeLlama 34B: 

  The factor pairs of 13 are:

1 and 13
2 and 6
3 and 4
### Answer: 1, 13, 2, 6, 3, 4.

Expected answer: [(1, 13)]

Correct? No

🔗 Problem

Problem: Find all factor pairs of 81.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 81, we need to find all the pairs of numbers that multiply to 81.

One way to do this is to list all the factors of 81: 1, 3, 9, 27, 81.

Then, we can find all the pairs of numbers that multiply to 81 by taking each factor and multiplying it by all the other factors.

For example, 1 x 81 = 81, so (1, 81) is a factor pair.

3 x 27 = 81, so (3, 27) is a factor pair.

9 x 9 = 81, so (9, 9) is a factor pair.

Therefore, the factor pairs of 81 are (1, 81), (3, 27), and (9, 9).

### Answer: (1, 81), (3, 27), (9, 9)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 76.

CodeLlama 34B: 

  The factor pairs of 76 are:

1. 1 and 76
2. 2 and 38
3. 4 and 19
4. 8 and 9
5. 16 and 4

### Answer: 5

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 50.

CodeLlama 34B: 

  The factor pairs of 50 are:

1. 1 and 50
2. 2 and 25
3. 5 and 10

### 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.

CodeLlama 34B: 

  The factor pairs of the number 76 are:

1. 1 and 76
2. 2 and 38
3. 4 and 19
4. 6 and 13
5. 8 and 11

### Answer: 5

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 56.

CodeLlama 34B: 

  The factor pairs of 56 are:

1. 1 and 56
2. 2 and 28
3. 4 and 14
4. 8 and 7
5. 16 and 3

### Answer: 5

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

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

Factoring 44:

* 1 x 44 = 44
* 2 x 22 = 44
* 3 x 14 = 42 (not 44)
* 4 x 11 = 44
* 6 x 7 = 42 (not 44)
* 8 x 5 = 40 (not 44)
* 12 x 3 = 36 (not 44)
* 21 x 2 = 42 (not 44)

Therefore, the factor pairs of 44 are:

* 1 x 44
* 2 x 22
* 4 x 11

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

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 5.

CodeLlama 34B: 

  The factor pairs of 5 are:

1. 1 and 5
2. 2 and 3

### Explanation:

A factor pair is a pair of numbers that multiply to give the original number. In this case, the factor pairs of 5 are:

1. 1 and 5: 1 × 5 = 5
2. 2 and 3: 2 × 3 = 6

Therefore, the factor pairs of 5 are (1, 5) and (2, 3).

Expected answer: [(1, 5)]

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 95.

CodeLlama 34B: 

  The factor pairs of the number 95 are:

1. 1 and 95
2. 3 and 31
3. 5 and 19
4. 9 and 11

Therefore, the factor pairs of 95 are (1, 95), (3, 31), (5, 19), and (9, 11).

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

Correct? No

🔗 Problem

Problem: Please list all the factor pairs of 36.

CodeLlama 34B: 

  The factor pairs of 36 are:

1. 1 and 36
2. 2 and 18
3. 3 and 12
4. 4 and 9
5. 6 and 6

Note that the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

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.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 59, we need to find all the pairs of numbers that multiply to 59.

One way to do this is to list all the factors of 59: 1, 3, 13, 59.

Then, we can find the factor pairs by combining each factor with its reciprocal:

* 1 x 59 = 59
* 3 x 13 = 59

So, the factor pairs of 59 are (1, 59) and (3, 13).

### Answer: (1, 59) and (3, 13)

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 3?

CodeLlama 34B: 

  The factor pairs of 3 are:

1. 1 and 3
2. 2 and 1.5
3. 3 and 1

### Explanation:

A factor pair is a pair of numbers that multiply to give the original number. In this case, the original number is 3.

The first factor pair is 1 and 3. When you multiply 1 by 3, you get 3.

The second factor pair is 2 and 1.5. When you multiply 2 by 1.5, you get 3.

The third factor pair is 3 and 1. When you multiply 3 by 1, you get 3.

Therefore, the factor pairs of 3 are 1 and 3, 2 and 1.5, and 3 and 1.

Expected answer: [(1, 3)]

Correct? No

🔗 Problem

Problem: Could you list all factor pairs of 51?

CodeLlama 34B: 

  Sure! Here are all the factor pairs of 51:

* 1 and 51
* 3 and 17
* 5 and 11
* 9 and 6

Note that these are the only factor pairs of 51, as any other pair of numbers that multiply to 51 would have a common factor greater than 1.

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 50.

CodeLlama 34B: 

  The factor pairs of 50 are:

1. 1 and 50
2. 2 and 25
3. 5 and 10

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

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 47.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 47, we need to find all the pairs of numbers that multiply to 47.

Factor pairs of 47:

1. 1 and 47
2. 3 and 15
3. 5 and 9
4. 7 and 6

### Answer: 1, 3, 5, 7

Expected answer: [(1, 47)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 51.

CodeLlama 34B: 

  The factor pairs of 51 are:

1 and 51
3 and 17
5 and 11
7 and 7
9 and 6
11 and 5
13 and 4
17 and 3
19 and 3
23 and 2
29 and 2
31 and 1
37 and 1
41 and 1
43 and 1
47 and 1
53 and 1
59 and 1
61 and 1
67 and 1
71 and 1
73 and 1
79 and 1
83 and 1
89 and 1
97 and 1
101 and 1
103 and 1
107 and 1
109 and 1
113 and 1
127 and 1
131 and 1
137 and 1
139 and 1
149 and 1
151 and 1
157 and 1
163 and 1
167 and 1
173 and 1
179 and 1
181 and 1
191 and 1
193 and 1
197 and 1
199 and 1
211 and 1
221 and 1
223 and 1
227 and 1
229 and 1
233 and 1
239 and 1
241 and 1
251 and 1
257 and 1
263 and 1
269 and 1
271 and 1
277 and 1
281 and 1
283 and 1
293 and 1
299 and 1
307 and 1
311 and 1
313 and 1
317 and 1
331 and 1
337 and 1
347 and 1
349 and 1
353 and 1
359 and 1
367 and 1
373 and 1
379 and 1
383 and 1
389 and 1
397 and 1
401 and 1
409 and 1
419 and 1
421 and 1
431 and 1
433 and 1
439 and 1
443 and 1
449 and 1
457 and 1
461 and 1
463 and 1
467 and 1
479 and 1
487 and 1
491 and 1
499 and 1
503 and 1
509 and 1
521 and 1
523 and 1
541 and 1
547 and 1
557 and 1
563 and 1
569 and 1
571 and 1
577 and 1
587 and 1
593 and 1
599 and 1
601 and 1
607 and 1
613 and 1
617 and 1
619 and 1
623 and 1
629 and 1
631 and 1
641 and 1
643 and 1
647 and 1
653 and 1
659 and 1
661 and 1
673 and 1
677 and 1
683 and 1
691 and 1
697 and 1
701 and 1
709 and 1
719 and 1
727 and 1
733 and 1
739 and 1
743 and 1
751 and 1
757 and 1
761 and 1
769 and 1
773 and 1
787 and 1
797 and 1
8

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 60.

CodeLlama 34B: 

  The factor pairs of 60 are:

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

Note that the factors of 60 are the same as the factors of 120, since 60 is half of 120.

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 43.

CodeLlama 34B: 

  The factor pairs of 43 are:

1. 1 and 43
2. 3 and 14
3. 7 and 6

### Answer: 3

Expected answer: [(1, 43)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 70.

CodeLlama 34B: 

  The factor pairs of 70 are:

1. 1 and 70
2. 2 and 35
3. 5 and 14
4. 7 and 10

### Answer: 4

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factors of the number 2 are:

1 and 2.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

CodeLlama 34B: 

  The factor pairs of 49 are:

1. 1 and 49
2. 3 and 16
3. 5 and 9
4. 7 and 7

### Answer: 4

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 17.

CodeLlama 34B: 

  The factor pairs of 17 are:

1. 1 and 17
2. 3 and 5

### Explanation:

To find the factor pairs of 17, we need to find the factors of 17 and then pair them up.

The factors of 17 are: 1, 3, 5, and 17.

The factor pairs are:

1. 1 and 17
2. 3 and 5

Therefore, the factor pairs of 17 are 1 and 17, and 3 and 5.

Expected answer: [(1, 17)]

Correct? No

🔗 Problem

Problem: Find all the factor pairs of 35.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 35, we need to find all the pairs of numbers that multiply to 35.

Factor pairs of 35:

1. 5 and 7
2. 3 and 11
3. 1 and 35

### Answer: 5, 7; 3, 11; 1, 35.

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 91.

CodeLlama 34B: 

  The factor pairs of the number 91 are:

1. 1 and 91
2. 3 and 30
3. 9 and 10

Therefore, the factor pairs of 91 are (1, 91), (3, 30), and (9, 10).

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

Correct? No

🔗 Problem

Problem: List all factor pairs of the number 97.

CodeLlama 34B: 

  The factor pairs of the number 97 are:

1. 1 and 97
2. 3 and 32
3. 9 and 11

Therefore, the factor pairs of 97 are 1, 3, 9, 11, 32, and 97.

Expected answer: [(1, 97)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 16?

CodeLlama 34B: 

  The factor pairs of 16 are:

* 1 and 16
* 2 and 8
* 4 and 4

### Answer: 1, 2, 4, 8, 16

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

Correct? Yes

🔗 Problem

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

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 21, we need to find all the pairs of numbers that multiply to 21.

The factor pairs of 21 are:

1 and 21
3 and 7
7 and 3

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

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

Correct? Yes

🔗 Problem

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

CodeLlama 34B: 

  Yes, I can determine all the factor pairs of 72.

The factor pairs of 72 are:

1. 1 and 72
2. 2 and 36
3. 3 and 24
4. 4 and 18
5. 6 and 12
6. 8 and 9
7. 12 and 6
8. 18 and 4
9. 24 and 3
10. 36 and 2

Note that the factors of a number can be found by dividing the number by the numbers that it is divisible by. In this case, 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72, so these are all the factor pairs of 72.

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.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 38, we need to find all the pairs of numbers that multiply to 38.

The prime factorization of 38 is 38 = 2 x 19.

The factor pairs of 38 are:

* 1 x 38
* 2 x 19
* 3 x 13
* 6 x 6
* 9 x 4
* 19 x 2

Therefore, the factor pairs of 38 are 1 x 38, 2 x 19, 3 x 13, 6 x 6, 9 x 4, and 19 x 2.

### Answer: 1 x 38, 2 x 19, 3 x 13, 6 x 6, 9 x 4, 19 x 2.

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 94.

CodeLlama 34B: 

  The factor pairs of 94 are:

1. 1 and 94
2. 2 and 47
3. 3 and 31
4. 5 and 19
5. 6 and 16
6. 7 and 13
7. 9 and 11
8. 10 and 9

Note that the factors of a number come in pairs, where one factor is the reciprocal of the other. For example, in the pair (2, 47), 2 is the reciprocal of 47, and 47 is the reciprocal of 2.

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

Correct? No

🔗 Problem

Problem: List all factor pairs of 32.

CodeLlama 34B: 

  The factor pairs of 32 are:

1. 1 and 32
2. 2 and 16
3. 4 and 8
4. 8 and 4
5. 16 and 2

Note that the factors of a number come in pairs, where one factor is the reciprocal of the other. For example, in the pair (1, 32), 1 is the reciprocal of 32, and 32 is the reciprocal of 1.

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 33.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 33, we need to find all the pairs of numbers that multiply to 33.

Possible factor pairs of 33:

1. 1 x 33
2. 3 x 11
3. 3 x 3
4. 11 x 3

Therefore, the factor pairs of 33 are (1, 33), (3, 11), (3, 3), and (11, 3).

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

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

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

CodeLlama 34B: 

  The factor pairs of 59 are:

1 and 59
3 and 19
5 and 11
7 and 8
### Answer: 1, 3, 5, 7, 11, 19, 24, 33, 41, 59.

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 54 are:

1. 1 and 54
2. 2 and 27
3. 3 and 18
4. 6 and 9
5. 9 and 6

There are a total of 5 factor pairs.

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of the number 85.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 85, we need to find all the pairs of numbers that multiply to 85.

One way to do this is to list all the factors of 85: 1, 3, 5, 15, 25, 35, 45, 55, 75, 85.

Then, we can find the factor pairs by pairing each factor with its reciprocal. For example, 1 and 85, 3 and 28, 5 and 17, 15 and 5, 25 and 3, 35 and 2, 45 and 1.

Therefore, the factor pairs of 85 are:

1 and 85
3 and 28
5 and 17
15 and 5
25 and 3
35 and 2
45 and 1

### Answer: 1 and 85, 3 and 28, 5 and 17, 15 and 5, 25 and 3, 35 and 2, 45 and 1.

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 56, we need to find all the pairs of numbers that multiply to 56.

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? Yes

🔗 Problem

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

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 24, we need to find all the pairs of numbers that multiply to 24.

Factor pairs of 24:

1. 1 x 24
2. 2 x 12
3. 3 x 8
4. 4 x 6
5. 6 x 4

Therefore, the factor pairs of 24 are 1 x 24, 2 x 12, 3 x 8, 4 x 6, and 6 x 4.

### Answer: 1 x 24, 2 x 12, 3 x 8, 4 x 6, 6 x 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?

CodeLlama 34B: 

  The factor pairs of the number 84 are:

1 and 84
2 and 42
3 and 28
4 and 21
6 and 14
9 and 9

### Answer: 84

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.

CodeLlama 34B: 

  The factor pairs of the number 36 are:

1. 1 and 36
2. 2 and 18
3. 3 and 12
4. 4 and 9
5. 6 and 6

### Answer: 5

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

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 85?

CodeLlama 34B: 

  The factor pairs of 85 are:

1 and 85
3 and 28
5 and 17
7 and 12
9 and 9
11 and 8
13 and 6
15 and 5
17 and 4
19 and 3
23 and 2
25 and 2
27 and 1

Note that each pair is a factor pair, meaning that the product of the two numbers in the pair is equal to the original number (85).

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 34.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 34, we need to find all the pairs of numbers that multiply to 34.

Possible factor pairs of 34:

1. 1 x 34
2. 2 x 17
3. 3 x 11
4. 6 x 6

Therefore, the factor pairs of 34 are (1, 34), (2, 17), (3, 11), and (6, 6).

### Answer: (1, 34), (2, 17), (3, 11), (6, 6)

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 88.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 88, we need to find all the pairs of numbers that multiply to 88.

One way to do this is to list all the factors of 88: 1, 2, 4, 7, 14, 28, 44, 88.

Then, we can find all the pairs of numbers that multiply to 88 by combining each factor with its reciprocal. For example, 1 and 88, 2 and 44, 4 and 22, 7 and 12, 14 and 6, 28 and 3, and 44 and 2.

Therefore, the factor pairs of 88 are:

1 and 88
2 and 44
4 and 22
7 and 12
14 and 6
28 and 3
44 and 2

### Answer: 1 and 88, 2 and 44, 4 and 22, 7 and 12, 14 and 6, 28 and 3, 44 and 2.

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs for the number 83 are:

1 and 83
3 and 27
9 and 9
### Answer: 1, 3, 9

Expected answer: [(1, 83)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 60?

CodeLlama 34B: 

  The factor pairs of 60 are:

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

Note that the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

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.

CodeLlama 34B: 

  The factor pairs of 58 are:

1 and 58
2 and 29
3 and 19
4 and 14
5 and 11
6 and 9
7 and 7
8 and 6
9 and 5
10 and 4
11 and 3
12 and 2
13 and 1

Note that the factors of a number come in pairs, where one factor is the reciprocal of the other. For example, 1 and 58 are a factor pair, as are 2 and 29, and so on.

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 40 are:

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

### Answer: 5

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

Correct? No

🔗 Problem

Problem: Identify all the factor pairs of 91.

CodeLlama 34B: 

  The factor pairs of 91 are:

1. 1 and 91
2. 3 and 30
3. 9 and 10

Therefore, the factor pairs of 91 are (1, 91), (3, 30), and (9, 10).

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 76.

CodeLlama 34B: 

  The factor pairs of 76 are:

1. 1 and 76
2. 2 and 38
3. 4 and 19
4. 6 and 13
5. 8 and 9

Note that the factors of a number come in pairs, where one factor is the reciprocal of the other. For example, in the pair (4, 19), 4 is the reciprocal of 19, and 19 is the reciprocal of 4.

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

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 13?

CodeLlama 34B: 

  The factor pairs of 13 are:

1 and 13

### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

CodeLlama 34B: 

  Reasoning: To find all factor pairs of 64, we need to find all pairs of numbers whose product is 64.

One way to do this is to list all the factors of 64:

1, 2, 4, 8, 16, 32, 64

Then, we can find all the pairs of numbers that multiply to 64:

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

Therefore, the factor pairs of 64 are:

(1, 64), (2, 32), (4, 16), (8, 8), (16, 4), (32, 2)

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

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

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 8?

CodeLlama 34B: 

  The factor pairs of 8 are:

1 and 8
2 and 4
3 and 6
4 and 2
6 and 3
8 and 1

Note that the factors of a number come in pairs, where each pair consists of two numbers that multiply to give the original number. In this case, the factor pairs of 8 are (1, 8), (2, 4), (3, 6), and (4, 2).

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 80.

CodeLlama 34B: 

  The factor pairs of 80 are:

1. 1 and 80
2. 2 and 40
3. 4 and 20
4. 5 and 16
5. 8 and 10

### Answer: 5

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.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 96, we need to find all the pairs of numbers that multiply to 96.

Factor pairs:

1 x 96 = 96
2 x 48 = 96
3 x 32 = 96
4 x 24 = 96
6 x 16 = 96
8 x 12 = 96
9 x 11 = 99 (not a factor pair)

Therefore, the factor pairs of 96 are:

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

### Answer: 6

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

Correct? No

🔗 Problem

Problem: Calculate all factor pairs of 19.

CodeLlama 34B: 

  The factor pairs of 19 are:

1 and 19
3 and 6
5 and 3
7 and 2

Therefore, the sum of the factor pairs of 19 is 1 + 3 + 5 + 7 = 16.

Expected answer: [(1, 19)]

Correct? No

🔗 Problem

Problem: What are all factor pairs of 37?

CodeLlama 34B: 

  The factor pairs of 37 are:

1. 1 and 37
2. 3 and 13

### Explanation:

To find the factor pairs of 37, we need to find the factors of 37 and then pair them up.

The factors of 37 are: 1, 3, 13, and 37.

We can pair these factors up as follows:

1. 1 and 37
2. 3 and 13

Therefore, the factor pairs of 37 are 1 and 37, and 3 and 13.

Expected answer: [(1, 37)]

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 6 are:

1 and 6
2 and 3
3 and 2
6 and 1

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

CodeLlama 34B: 

  The factor pairs of 58 are:

1. 1 and 58
2. 2 and 29
3. 3 and 19
4. 4 and 14
5. 6 and 9
6. 7 and 8

Note that the factors of a number come in pairs, except for the number itself and 1.

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 81 are:

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

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 85 are:

1. 1 and 85
2. 3 and 28
3. 5 and 17
4. 7 and 12
5. 11 and 7

### Answer: 5

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs for the number 93 are:

1 and 93
3 and 31
9 and 11
### Answer: 1, 3, 9, 11, 31

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

Correct? No

🔗 Problem

Problem: Identify all factor pairs of 24.

CodeLlama 34B: 

  The factor pairs of 24 are:

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

### Answer: 5

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

Correct? No

🔗 Problem

Problem: List all the factor pairs of 97.

CodeLlama 34B: 

  The factor pairs of 97 are:

1. 1 and 97
2. 3 and 32
3. 9 and 11

### Explanation:

To find the factor pairs of 97, we need to find the factors of 97 and then pair them up.

The factors of 97 are 1, 3, 9, 11, 32, and 97.

We can pair these factors up as follows:

1. 1 and 97
2. 3 and 32
3. 9 and 11

Therefore, the factor pairs of 97 are 1 and 97, 3 and 32, and 9 and 11.

Expected answer: [(1, 97)]

Correct? No

🔗 Problem

Problem: Identify all factor pairs of the number 57.

CodeLlama 34B: 

  The factor pairs of the number 57 are:

1. 1 and 57
2. 3 and 19
3. 9 and 6

### Explanation:

To find the factor pairs of a number, we need to find all the pairs of numbers that multiply to give the original number. In this case, the number is 57.

1. 1 and 57: 1 × 57 = 57
2. 3 and 19: 3 × 19 = 57
3. 9 and 6: 9 × 6 = 54 (not the correct pair)

Therefore, the factor pairs of 57 are 1 and 57, 3 and 19.

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

CodeLlama 34B: 

  The factor pairs of 19 are:

1 and 19
3 and 6
5 and 3
7 and 2
### Answer: 1, 19, 3, 6, 5, 3, 7, 2.

Expected answer: [(1, 19)]

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

CodeLlama 34B: 

  The factor pairs of 38 are:

1. 1 and 38
2. 2 and 19
3. 3 and 13
4. 6 and 6
5. 9 and 4

### Answer: 5

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 6, we need to find all the pairs of numbers that multiply to 6.

The factor pairs of 6 are:

1 x 6 = 6
2 x 3 = 6
3 x 2 = 6

Therefore, the factor pairs of 6 are (1, 6), (2, 3), and (3, 2).

### Answer: (1, 6), (2, 3), and (3, 2)

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

CodeLlama 34B: 

  The factor pairs of 17 are:

1. 1 and 17
2. 17 and 17

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

Expected answer: [(1, 17)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 45.

CodeLlama 34B: 

  The factor pairs of 45 are:

1. 1 and 45
2. 3 and 15
3. 5 and 9
4. 9 and 5
5. 15 and 3

### Answer: 5

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 36.

CodeLlama 34B: 

  The factor pairs of 36 are:

1. 1 and 36
2. 2 and 18
3. 3 and 12
4. 4 and 9
5. 6 and 6

### Answer: 5

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 89?

CodeLlama 34B: 

  The factor pairs of 89 are:

1. 1 and 89
2. 3 and 29
3. 9 and 9

### Explanation:

To find the factor pairs of 89, we need to find the factors of 89 and then pair them up.

The factors of 89 are 1, 3, 9, and 29. We can pair these factors up as follows:

1. 1 and 89
2. 3 and 29
3. 9 and 9

Therefore, the factor pairs of 89 are 1 and 89, 3 and 29, and 9 and 9.

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of 89.

CodeLlama 34B: 

  The factor pairs of 89 are:

1. 1 and 89
2. 3 and 29
3. 9 and 9

### Answer: 3

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

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

CodeLlama 34B: 

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

Factoring 44:

* 1 x 44 = 44
* 2 x 22 = 44
* 3 x 14 = 42 (not 44)
* 4 x 11 = 44
* 6 x 7 = 42 (not 44)
* 8 x 5 = 40 (not 44)
* 12 x 3 = 36 (not 44)
* 21 x 2 = 42 (not 44)

Therefore, the factor pairs of 44 are:

* 1 x 44
* 2 x 22
* 4 x 11

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

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

CodeLlama 34B: 

  The factor pairs of the number 36 are:

1. 1 and 36
2. 2 and 18
3. 3 and 12
4. 4 and 9
5. 6 and 6

### Answer: 5

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.

CodeLlama 34B: 

  The possible factor pairs of the number 35 are:

1. 1 and 35
2. 3 and 11
3. 5 and 7

Therefore, the possible factor pairs of 35 are (1, 35), (3, 11), and (5, 7).

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

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 22.

CodeLlama 34B: 

  The factor pairs of 22 are:

1. 1 and 22
2. 2 and 11
3. 3 and 7
4. 4 and 5
5. 6 and 3
6. 7 and 3
7. 8 and 2
8. 9 and 2
9. 10 and 2
10. 11 and 2

There are a total of 10 factor pairs of 22.

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

Correct? No

🔗 Problem

Problem: Find all the factor pairs of 40.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 40, we need to find all the pairs of numbers that multiply to 40.

Factor pairs of 40:

1. 1 x 40
2. 2 x 20
3. 4 x 10
4. 5 x 8
5. 8 x 5
6. 10 x 4
7. 20 x 2

Therefore, the factor pairs of 40 are 1, 2, 4, 5, 8, 10, and 20.

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

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of the number 64 are:

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

There are 7 factor pairs in total.

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

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 30.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 30, we need to find all the pairs of numbers that multiply to 30.

Possible factor pairs of 30:

1. 1 x 30
2. 2 x 15
3. 3 x 10
4. 5 x 6

Therefore, the factor pairs of 30 are (1, 30), (2, 15), (3, 10), and (5, 6).

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

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 59.

CodeLlama 34B: 

  The factor pairs of 59 are:

1 and 59
3 and 19
5 and 11
7 and 8
9 and 6
13 and 4
17 and 3
23 and 2

Note that the factors of 59 are 1, 3, 5, 7, 9, 11, 13, 17, 19, 23, and 59.

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: List all factor pairs of 18.

CodeLlama 34B: 

  The factor pairs of 18 are:

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

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

CodeLlama 34B: 

  The factor pairs of 61 are:

1 and 61
3 and 20
9 and 7
### Answer: 1, 3, 9, 20, 61.

Expected answer: [(1, 61)]

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  The factor pairs of 86 are:

1. 1 and 86
2. 3 and 29
3. 5 and 17
4. 7 and 12
5. 11 and 8

### Explanation:

To find the factor pairs of 86, we need to find the factors of 86 and then pair them up.

The factors of 86 are: 1, 3, 5, 7, 11, 12, 17, 29, and 86.

We can pair these factors up as follows:

1. 1 and 86
2. 3 and 29
3. 5 and 17
4. 7 and 12
5. 11 and 8

Therefore, the factor pairs of 86 are:

1. 1 and 86
2. 3 and 29
3. 5 and 17
4. 7 and 12
5. 11 and 8

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

Correct? No

🔗 Problem

Problem: List out all factor pairs of 57.

CodeLlama 34B: 

  The factor pairs of 57 are:

1. 1 and 57
2. 3 and 19
3. 5 and 11
4. 9 and 6
5. 17 and 3

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

CodeLlama 34B: 

  The factor pairs of 38 are:

1. 1 and 38
2. 2 and 19
3. 3 and 13
4. 6 and 6
5. 9 and 4

### Answer: 5

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

Correct? No

🔗 Problem

Problem: Please list all factor pairs of 27.

CodeLlama 34B: 

  The factor pairs of 27 are:

1. 1 and 27
2. 3 and 9
3. 9 and 3

### Answer: 3

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

Correct? No

🔗 Problem

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

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 78, we need to find all the pairs of numbers that multiply to 78.

The factor pairs of 78 are:

1. 1 and 78
2. 2 and 39
3. 3 and 26
4. 6 and 13
5. 9 and 8

### Answer: 1, 2, 3, 6, 9

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

Correct? No

🔗 Problem

Problem: List out all the factor pairs of 23.

CodeLlama 34B: 

  The factor pairs of 23 are:

1. 1 and 23
2. 3 and 7
3. 11 and 2

### Answer: 3

Expected answer: [(1, 23)]

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 2.

CodeLlama 34B: 

  The factor pairs of 2 are:

1. 1 and 2
2. 2 and 1

Therefore, the factor pairs of 2 are 1, 2, and 2, 1.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

CodeLlama 34B: 

  Reasoning: To find the factor pairs of 49, we need to find all the pairs of numbers that multiply to 49.

Factor pairs of 49:

1 x 49
3 x 16
7 x 7
9 x 5
11 x 4
13 x 4
17 x 3
19 x 2
23 x 2
29 x 1

### Answer: 1 x 49, 3 x 16, 7 x 7, 9 x 5, 11 x 4, 13 x 4, 17 x 3, 19 x 2, 23 x 2, 29 x 1.

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.

CodeLlama 34B: 

  The factors of 93 are 1, 3, 13, and 39.

The distinct pairs of factors that can multiply to give the number 93 are:

* 1 and 93
* 3 and 31
* 13 and 7
* 39 and 2

Therefore, there are four distinct pairs of factors that can multiply to give the number 93.

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

Correct? No