Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Answers
Part A: Factors
1.List all the factors of 96.
Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
2.List all the factors of 53.
Answer: 1, 53
3.List all the factors of 84.
Answer: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
4.List all the factors of 57.
Answer: 1, 3, 19, 57
Part B: Multiples
5.Write the first five multiples of 7.
Answer: 7, 14, 21, 28, 35
6.Write the first five multiples of 5.
Answer: 5, 10, 15, 20, 25
7.Write the first five multiples of 6.
Answer: 6, 12, 18, 24, 30
8.Write the first five multiples of 4.
Answer: 4, 8, 12, 16, 20
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 18 and 31.
Answer: 1
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 31: 1, 31
- Highest common factor = 1
10.Find the lowest common multiple (LCM) of 40 and 24.
Answer: 120
- Multiples of 40: 40, 80, 120, 160…
- Multiples of 24: 24, 48, 72, 96…
- Lowest common multiple = 120
11.Find the lowest common multiple (LCM) of 15 and 40.
Answer: 120
- Multiples of 15: 15, 30, 45, 60…
- Multiples of 40: 40, 80, 120, 160…
- Lowest common multiple = 120
12.Find the lowest common multiple (LCM) of 12 and 27.
Answer: 108
- Multiples of 12: 12, 24, 36, 48…
- Multiples of 27: 27, 54, 81, 108…
- Lowest common multiple = 108
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.