List all the factors for each number on this math worksheet.

Explanation:
We need to list all the factors of each given number. A factor is a whole number that divides the given number evenly (with no remainder). To find all factors, we can test numbers from 1 up to the square root of the number, and for each divisor we find, we also include its pair.

Let’s go one by one:

1) 62
Check divisors:
- 1 × 62 = 62 → factors: 1, 62
- 2 × 31 = 62 → factors: 2, 31
- 3? 62 ÷ 3 = 20.666… no
- 4–30? none divide evenly
So factors: 1, 2, 31, 62

2) 44
- 1 × 44 → 1, 44
- 2 × 22 → 2, 22
- 4 × 11 → 4, 11
- 5? 44 ÷ 5 = 8.8 → no
- 6,7,8,9,10? no
So factors: 1, 2, 4, 11, 22, 44

3) 74
- 1 × 74 → 1, 74
- 2 × 37 → 2, 37
- 3? 74 ÷ 3 ≈ 24.66 → no
- 4–36? none
So factors: 1, 2, 37, 74

4) 25
- 1 × 25 → 1, 25
- 5 × 5 → 5 (only once)
So factors: 1, 5, 25

5) 57
- 1 × 57 → 1, 57
- 3 × 19 = 57 → 3, 19
- 2? 57 ÷ 2 = 28.5 → no
- 4–18? none
So factors: 1, 3, 19, 57

6) 75
- 1 × 75 → 1, 75
- 3 × 25 → 3, 25
- 5 × 15 → 5, 15
- 75 ÷ 7 ≈ 10.7 → no
So factors: 1, 3, 5, 15, 25, 75

7) 10
- 1 × 10 → 1, 10
- 2 × 5 → 2, 5
So factors: 1, 2, 5, 10

8) 24
- 1 × 24 → 1, 24
- 2 × 12 → 2, 12
- 3 × 8 → 3, 8
- 4 × 6 → 4, 6
So factors: 1, 2, 3, 4, 6, 8, 12, 24

9) 39
- 1 × 39 → 1, 39
- 3 × 13 → 3, 13
So factors: 1, 3, 13, 39

10) 68
- 1 × 68 → 1, 68
- 2 × 34 → 2, 34
- 4 × 17 → 4, 17
So factors: 1, 2, 4, 17, 34, 68

11) 42
- 1 × 42 → 1, 42
- 2 × 21 → 2, 21
- 3 × 14 → 3, 14
- 6 × 7 → 6, 7
So factors: 1, 2, 3, 6, 7, 14, 21, 42

12) 48
- 1 × 48 → 1, 48
- 2 × 24 → 2, 24
- 3 × 16 → 3, 16
- 4 × 12 → 4, 12
- 6 × 8 → 6, 8
So factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

13) 14
- 1 × 14 → 1, 14
- 2 × 7 → 2, 7
So factors: 1, 2, 7, 14

14) 27
- 1 × 27 → 1, 27
- 3 × 9 → 3, 9
So factors: 1, 3, 9, 27

15) 77
- 1 × 77 → 1, 77
- 7 × 11 → 7, 11
So factors: 1, 7, 11, 77

Now double-check each for completeness and correctness — all look good.

Final Answer:
1) 1, 2, 31, 62
2) 1, 2, 4, 11, 22, 44
3) 1, 2, 37, 74
4) 1, 5, 25
5) 1, 3, 19, 57
6) 1, 3, 5, 15, 25, 75
7) 1, 2, 5, 10
8) 1, 2, 3, 4, 6, 8, 12, 24
9) 1, 3, 13, 39
10) 1, 2, 4, 17, 34, 68
11) 1, 2, 3, 6, 7, 14, 21, 42
12) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
13) 1, 2, 7, 14
14) 1, 3, 9, 27
15) 1, 7, 11, 77