To find the factors of a number, we look for all the whole numbers that can divide into it evenly (without leaving a remainder). A good way to do this is to find pairs of numbers that multiply together to make the target number.
Here is the step-by-step breakdown for each number:
1)
62:
- $1 \times 62 = 62$
- $2 \times 31 = 62$
- Factors: 1, 2, 31, 62
2)
44:
- $1 \times 44 = 44$
- $2 \times 22 = 44$
- $4 \times 11 = 44$
- Factors: 1, 2, 4, 11, 22, 44
3)
74:
- $1 \times 74 = 74$
- $2 \times 37 = 74$
- Factors: 1, 2, 37, 74
4)
25:
- $1 \times 25 = 25$
- $5 \times 5 = 25$
- Factors: 1, 5, 25
5)
57:
- $1 \times 57 = 57$
- $3 \times 19 = 57$ (Hint: $5+7=12$, which is divisible by 3)
- Factors: 1, 3, 19, 57
6)
75:
- $1 \times 75 = 75$
- $3 \times 25 = 75$
- $5 \times 15 = 75$
- Factors: 1, 3, 5, 15, 25, 75
7)
10:
- $1 \times 10 = 10$
- $2 \times 5 = 10$
- Factors: 1, 2, 5, 10
8)
24:
- $1 \times 24 = 24$
- $2 \times 12 = 24$
- $3 \times 8 = 24$
- $4 \times 6 = 24$
- Factors: 1, 2, 3, 4, 6, 8, 12, 24
9)
39:
- $1 \times 39 = 39$
- $3 \times 13 = 39$
- Factors: 1, 3, 13, 39
10)
68:
- $1 \times 68 = 68$
- $2 \times 34 = 68$
- $4 \times 17 = 68$
- Factors: 1, 2, 4, 17, 34, 68
11)
42:
- $1 \times 42 = 42$
- $2 \times 21 = 42$
- $3 \times 14 = 42$
- $6 \times 7 = 42$
- Factors: 1, 2, 3, 6, 7, 14, 21, 42
12)
48:
- $1 \times 48 = 48$
- $2 \times 24 = 48$
- $3 \times 16 = 48$
- $4 \times 12 = 48$
- $6 \times 8 = 48$
- Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
13)
14:
- $1 \times 14 = 14$
- $2 \times 7 = 14$
- Factors: 1, 2, 7, 14
14)
27:
- $1 \times 27 = 27$
- $3 \times 9 = 27$
- Factors: 1, 3, 9, 27
15)
77:
- $1 \times 77 = 77$
- $7 \times 11 = 77$
- Factors: 1, 7, 11, 77
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
Parent Tip: Review the logic above to help your child master the concept of factors worksheet 4th grade.