Year 8 Factors, Multiples and Primes Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 Factors, Multiples and Primes Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Factors
1.List all the factors of 15.
Answer: 1, 3, 5, 15
2.List all the factors of 56.
Answer: 1, 2, 4, 7, 8, 14, 28, 56
3.List all the factors of 88.
Answer: 1, 2, 4, 8, 11, 22, 44, 88
4.List all the factors of 60.
Answer: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Part B: Multiples
5.Write the first five multiples of 11.
Answer: 11, 22, 33, 44, 55
6.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
7.Write the first five multiples of 10.
Answer: 10, 20, 30, 40, 50
8.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
Part C: HCF and LCM
9.Find the lowest common multiple (LCM) of 10 and 40.
Answer: 40
- Multiples of 10: 10, 20, 30, 40…
- Multiples of 40: 40, 80, 120, 160…
- Lowest common multiple = 40
10.Find the highest common factor (HCF) of 7 and 15.
Answer: 1
- Factors of 7: 1, 7
- Factors of 15: 1, 3, 5, 15
- Highest common factor = 1
11.Find the lowest common multiple (LCM) of 21 and 16.
Answer: 336
- Multiples of 21: 21, 42, 63, 84…
- Multiples of 16: 16, 32, 48, 64…
- Lowest common multiple = 336
12.Find the highest common factor (HCF) of 9 and 20.
Answer: 1
- Factors of 9: 1, 3, 9
- Factors of 20: 1, 2, 4, 5, 10, 20
- Highest common factor = 1
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.