Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Part A: Factors
1.List all the factors of 82.
Answer: 1, 2, 41, 82
2.List all the factors of 93.
Answer: 1, 3, 31, 93
3.List all the factors of 16.
Answer: 1, 2, 4, 8, 16
4.List all the factors of 25.
Answer: 1, 5, 25
Part B: Multiples
5.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
6.Write the first five multiples of 10.
Answer: 10, 20, 30, 40, 50
7.Write the first five multiples of 9.
Answer: 9, 18, 27, 36, 45
8.Write the first five multiples of 7.
Answer: 7, 14, 21, 28, 35
Part C: HCF and LCM
9.Find the lowest common multiple (LCM) of 19 and 23.
Answer: 437
- Multiples of 19: 19, 38, 57, 76…
- Multiples of 23: 23, 46, 69, 92…
- Lowest common multiple = 437
10.Find the highest common factor (HCF) of 27 and 18.
Answer: 9
- Factors of 27: 1, 3, 9, 27
- Factors of 18: 1, 2, 3, 6, 9, 18
- Highest common factor = 9
11.Find the lowest common multiple (LCM) of 13 and 21.
Answer: 273
- Multiples of 13: 13, 26, 39, 52…
- Multiples of 21: 21, 42, 63, 84…
- Lowest common multiple = 273
12.Find the highest common factor (HCF) of 24 and 8.
Answer: 8
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 8: 1, 2, 4, 8
- Highest common factor = 8
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.