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Factors and Multiples Worksheet - Free Printable

Factors and Multiples Worksheet

Educational worksheet: Factors and Multiples Worksheet. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Factors and Multiples Worksheet
Let’s solve this step by step.

We need to find all the factors of each number from 1 to 24.
A factor is a number that divides another number exactly — no remainder.

We’ll go one number at a time, and list all its factors in order (smallest to largest).

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Start with numbers already done:

- 1 → only 1
- 2 → 1, 2
- 3 → 1, 3
- 4 → 1, 2, 4
- 5 → 1, 5
- 6 → 1, 2, 3, 6

Now continue:

7: Only divisible by 1 and itself → 1, 7

8: Check which numbers divide 8 evenly:
1×8=8, 2×4=8 → so 1, 2, 4, 8

9: 1×9=9, 3×3=9 → 1, 3, 9

10: 1×10=10, 2×5=10 → 1, 2, 5, 10

11: Only 1 and 11 → 1, 11

12: Let’s check:
1×12, 2×6, 3×4 → so 1, 2, 3, 4, 6, 12

13: Prime → 1, 13

14: 1×14, 2×7 → 1, 2, 7, 14

15: 1×15, 3×5 → 1, 3, 5, 15

16: 1×16, 2×8, 4×4 → 1, 2, 4, 8, 16

17: Prime → 1, 17

18: 1×18, 2×9, 3×6 → 1, 2, 3, 6, 9, 18

19: Prime → 1, 19

20: 1×20, 2×10, 4×5 → 1, 2, 4, 5, 10, 20

21: 1×21, 3×7 → 1, 3, 7, 21

22: 1×22, 2×11 → 1, 2, 11, 22

23: Prime → 1, 23

24: 1×24, 2×12, 3×8, 4×6 → 1, 2, 3, 4, 6, 8, 12, 24

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Now, identify prime numbers between 1 and 24.

Prime numbers have exactly two factors: 1 and themselves.

From above:

- 2 → prime
- 3 → prime
- 5 → prime
- 7 → prime
- 11 → prime
- 13 → prime
- 17 → prime
- 19 → prime
- 23 → prime

Note: 1 is NOT prime (only has one factor).

So primes from 1 to 24 are:
2, 3, 5, 7, 11, 13, 17, 19, 23

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Final Answer:

Here is the completed table:

| NUMBER | FACTORS |
|--------|---------------------|
| 1 | 1 |
| 2 | 1,2 |
| 3 | 1,3 |
| 4 | 1,2,4 |
| 5 | 1,5 |
| 6 | 1,2,3,6 |
| 7 | 1,7 |
| 8 | 1,2,4,8 |
| 9 | 1,3,9 |
| 10 | 1,2,5,10 |
| 11 | 1,11 |
| 12 | 1,2,3,4,6,12 |
| 13 | 1,13 |
| 14 | 1,2,7,14 |
| 15 | 1,3,5,15 |
| 16 | 1,2,4,8,16 |
| 17 | 1,17 |
| 18 | 1,2,3,6,9,18 |
| 19 | 1,19 |
| 20 | 1,2,4,5,10,20 |
| 21 | 1,3,7,21 |
| 22 | 1,2,11,22 |
| 23 | 1,23 |
| 24 | 1,2,3,4,6,8,12,24 |

Prime numbers to highlight:
2, 3, 5, 7, 11, 13, 17, 19, 23
Parent Tip: Review the logic above to help your child master the concept of factor pairs worksheet.
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