Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 4 — Answers
Part A: Factors
1.List all the factors of 71.
Answer: 1, 71
2.List all the factors of 59.
Answer: 1, 59
3.List all the factors of 91.
Answer: 1, 7, 13, 91
4.List all the factors of 99.
Answer: 1, 3, 9, 11, 33, 99
Part B: Multiples
5.Write the first five multiples of 8.
Answer: 8, 16, 24, 32, 40
6.Write the first five multiples of 11.
Answer: 11, 22, 33, 44, 55
7.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
8.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
Part C: HCF and LCM
9.Find the lowest common multiple (LCM) of 13 and 8.
Answer: 104
- Multiples of 13: 13, 26, 39, 52…
- Multiples of 8: 8, 16, 24, 32…
- Lowest common multiple = 104
10.Find the lowest common multiple (LCM) of 17 and 12.
Answer: 204
- Multiples of 17: 17, 34, 51, 68…
- Multiples of 12: 12, 24, 36, 48…
- Lowest common multiple = 204
11.Find the highest common factor (HCF) of 8 and 16.
Answer: 8
- Factors of 8: 1, 2, 4, 8
- Factors of 16: 1, 2, 4, 8, 16
- Highest common factor = 8
12.Find the lowest common multiple (LCM) of 32 and 20.
Answer: 160
- Multiples of 32: 32, 64, 96, 128…
- Multiples of 20: 20, 40, 60, 80…
- Lowest common multiple = 160
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.