Factors of Natural Numbers Worksheets | Grade1to6.com - Free Printable

Explanation:
We need to list all factors of each given natural number. A factor is a whole number that divides the given number exactly (with no remainder). We always include 1 and the number itself.

Let’s go one by one:

ii. 8
Check numbers from 1 up to 8:
- 1 × 8 = 8 → 1 and 8 are factors
- 2 × 4 = 8 → 2 and 4 are factors
- 3 does not divide 8 (8 ÷ 3 = 2 remainder 2)
- 5, 6, 7 don’t divide 8
So factors of 8: 1, 2, 4, 8

iii. 12
Check:
- 1 × 12 = 12 → 1, 12
- 2 × 6 = 12 → 2, 6
- 3 × 4 = 12 → 3, 4
- 5? 12 ÷ 5 = 2.4 → no
- 7–11? No
So factors of 12: 1, 2, 3, 4, 6, 12

iv. 21
Check:
- 1 × 21 = 21 → 1, 21
- 2? 21 ÷ 2 = 10.5 → no
- 3 × 7 = 21 → 3, 7
- 4? 21 ÷ 4 = 5.25 → no
- 5? no
- 6? 21 ÷ 6 = 3.5 → no
- 7 already included
So factors of 21: 1, 3, 7, 21

v. 18
Check:
- 1 × 18 → 1, 18
- 2 × 9 → 2, 9
- 3 × 6 → 3, 6
- 4? 18 ÷ 4 = 4.5 → no
- 5? no
- 7? no
So factors of 18: 1, 2, 3, 6, 9, 18

vi. 25
Check:
- 1 × 25 → 1, 25
- 2? no
- 3? no
- 4? no
- 5 × 5 = 25 → 5 (only once, since it's repeated)
So factors of 25: 1, 5, 25

Now let’s write them clearly.

Final Answer:
ii. 8 = 1, 2, 4, 8
iii. 12 = 1, 2, 3, 4, 6, 12
iv. 21 = 1, 3, 7, 21
v. 18 = 1, 2, 3, 6, 9, 18
vi. 25 = 1, 5, 25