Year 7 Factors, Multiples and Primes Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Factors, Multiples & PrimesYear 7 Factors, Multiples and Primes Worksheet — Level 3 — Answers
Part A: Factors
1.List all the factors of 61.
Answer: 1, 61
2.List all the factors of 82.
Answer: 1, 2, 41, 82
3.List all the factors of 66.
Answer: 1, 2, 3, 6, 11, 22, 33, 66
4.List all the factors of 77.
Answer: 1, 7, 11, 77
Part B: Multiples
5.Write the first five multiples of 6.
Answer: 6, 12, 18, 24, 30
6.Write the first five multiples of 5.
Answer: 5, 10, 15, 20, 25
7.Write the first five multiples of 8.
Answer: 8, 16, 24, 32, 40
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 11 and 12.
Answer: 132
- Multiples of 11: 11, 22, 33, 44…
- Multiples of 12: 12, 24, 36, 48…
- Lowest common multiple = 132
10.Find the highest common factor (HCF) of 28 and 23.
Answer: 1
- Factors of 28: 1, 2, 4, 7, 14, 28
- Factors of 23: 1, 23
- Highest common factor = 1
11.Find the lowest common multiple (LCM) of 28 and 18.
Answer: 252
- Multiples of 28: 28, 56, 84, 112…
- Multiples of 18: 18, 36, 54, 72…
- Lowest common multiple = 252
12.Find the highest common factor (HCF) of 18 and 17.
Answer: 1
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 17: 1, 17
- 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.