Year 8 Factors, Multiples and Primes Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Part A: Factors
1.List all the factors of 97.
Answer: 1, 97
2.List all the factors of 20.
Answer: 1, 2, 4, 5, 10, 20
3.List all the factors of 33.
Answer: 1, 3, 11, 33
4.List all the factors of 13.
Answer: 1, 13
Part B: Multiples
5.Write the first five multiples of 7.
Answer: 7, 14, 21, 28, 35
6.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
7.Write the first five multiples of 8.
Answer: 8, 16, 24, 32, 40
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 17 and 15.
Answer: 1
- Factors of 17: 1, 17
- Factors of 15: 1, 3, 5, 15
- Highest common factor = 1
10.Find the highest common factor (HCF) of 27 and 26.
Answer: 1
- Factors of 27: 1, 3, 9, 27
- Factors of 26: 1, 2, 13, 26
- Highest common factor = 1
11.Find the highest common factor (HCF) of 40 and 30.
Answer: 10
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Highest common factor = 10
12.Find the highest common factor (HCF) of 11 and 39.
Answer: 1
- Factors of 11: 1, 11
- Factors of 39: 1, 3, 13, 39
- 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.