Explanation:
Let’s find the factors of each number. Remember: a factor is a whole number that divides evenly into another number (no remainder).
a) Factors of 9:
We try numbers from 1 up to 9:
- 1 × 9 = 9 → so 1 and 9 are factors
- 2? 9 ÷ 2 = 4.5 → not a whole number → no
- 3 × 3 = 9 → so 3 is a factor (and it pairs with itself)
- 4? 9 ÷ 4 = 2.25 → no
- 5,6,7,8? none divide 9 evenly
So factors of 9:
1, 3, 9
b) Factors of 16:
Try numbers 1 to 16:
- 1 × 16 = 16 → 1 and 16
- 2 × 8 = 16 → 2 and 8
- 3? 16 ÷ 3 ≈ 5.33 → no
- 4 × 4 = 16 → 4 is a factor (pairs with itself)
- 5–7? no
- 8 we already have
So factors of 16:
1, 2, 4, 8, 16
c) Factors of 25:
- 1 × 25 = 25 → 1 and 25
- 2? 25 ÷ 2 = 12.5 → no
- 3? no
- 4? no
- 5 × 5 = 25 → 5 is a factor
- 6–24? none divide 25 evenly
So factors of 25:
1, 5, 25
d) Factors of 24:
Check systematically:
- 1 × 24 = 24 → 1, 24
- 2 × 12 = 24 → 2, 12
- 3 × 8 = 24 → 3, 8
- 4 × 6 = 24 → 4, 6
- 5? 24 ÷ 5 = 4.8 → no
- 6 we already have
- 7? 24 ÷ 7 ≈ 3.43 → no
- 8–23? already covered or don’t divide evenly
So factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Let me double-check each list:
- 9: 1×9, 3×3 →
✔
- 16: 1×16, 2×8, 4×4 →
✔
- 25: 1×25, 5×5 →
✔
- 24: 1×24, 2×12, 3×8, 4×6 →
✔ all listed.
Final Answer:
a) 1, 3, 9
b) 1, 2, 4, 8, 16
c) 1, 5, 25
d) 1, 2, 3, 4, 6, 8, 12, 24
Parent Tip: Review the logic above to help your child master the concept of factor worksheet grade 4.
