Year 8 Factors, Multiples and Primes Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Part A: Factors
1.List all the factors of 22.
Answer: 1, 2, 11, 22
2.List all the factors of 65.
Answer: 1, 5, 13, 65
3.List all the factors of 60.
Answer: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
4.List all the factors of 78.
Answer: 1, 2, 3, 6, 13, 26, 39, 78
Part B: Multiples
5.Write the first five multiples of 8.
Answer: 8, 16, 24, 32, 40
6.Write the first five multiples of 4.
Answer: 4, 8, 12, 16, 20
7.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
8.Write the first five multiples of 11.
Answer: 11, 22, 33, 44, 55
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 9 and 29.
Answer: 1
- Factors of 9: 1, 3, 9
- Factors of 29: 1, 29
- Highest common factor = 1
10.Find the highest common factor (HCF) of 8 and 20.
Answer: 4
- Factors of 8: 1, 2, 4, 8
- Factors of 20: 1, 2, 4, 5, 10, 20
- Highest common factor = 4
11.Find the lowest common multiple (LCM) of 9 and 29.
Answer: 261
- Multiples of 9: 9, 18, 27, 36…
- Multiples of 29: 29, 58, 87, 116…
- Lowest common multiple = 261
12.Find the lowest common multiple (LCM) of 37 and 10.
Answer: 370
- Multiples of 37: 37, 74, 111, 148…
- Multiples of 10: 10, 20, 30, 40…
- Lowest common multiple = 370
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.