Let’s solve each part step by step.
We are asked to list the
factors of different numbers.
Remember: Factors are numbers that divide into another number exactly (with no remainder).
We can find them by thinking of pairs of numbers that multiply to give the target number.
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a) List the factors of 9
Think: What numbers multiply to make 9?
- 1 × 9 = 9 → so 1 and 9 are factors
- 3 × 3 = 9 → so 3 is a factor (we only list it once)
No other whole numbers work.
✔ Factors of 9:
1, 3, 9
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b) List the factors of 16
Think: What numbers multiply to make 16?
- 1 × 16 = 16 → 1 and 16
- 2 × 8 = 16 → 2 and 8
- 4 × 4 = 16 → 4 (list once)
Check: Does 3 go into 16? No. 5? No. 6? No. 7? No. So we’re done.
✔ Factors of 16:
1, 2, 4, 8, 16
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c) List the factors of 25
Think: What numbers multiply to make 25?
- 1 × 25 = 25 → 1 and 25
- 5 × 5 = 25 → 5 (list once)
Does 2 go in? No. 3? No. 4? No. So stop here.
✔ Factors of 25:
1, 5, 25
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d) List the factors of 24
This one has more factors — let’s be careful!
Start from 1 and go up:
- 1 × 24 = 24 → 1, 24
- 2 × 12 = 24 → 2, 12
- 3 × 8 = 24 → 3, 8
- 4 × 6 = 24 → 4, 6
Next would be 5 — does 5 go into 24? No.
Then 6 — but we already have 6 (from 4×6), so we stop.
✔ Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
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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 multiples and factors worksheet.
