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Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Factors, Multiples & Primes

Year 8 Factors, Multiples and Primes Worksheet — Level 3 — Answers

Part A: Factors

1.List all the factors of 96.

Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

2.List all the factors of 53.

Answer: 1, 53

3.List all the factors of 84.

Answer: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

4.List all the factors of 57.

Answer: 1, 3, 19, 57

Part B: Multiples

5.Write the first five multiples of 7.

Answer: 7, 14, 21, 28, 35

6.Write the first five multiples of 5.

Answer: 5, 10, 15, 20, 25

7.Write the first five multiples of 6.

Answer: 6, 12, 18, 24, 30

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 18 and 31.

Answer: 1

  1. Factors of 18: 1, 2, 3, 6, 9, 18
  2. Factors of 31: 1, 31
  3. Highest common factor = 1
10.Find the lowest common multiple (LCM) of 40 and 24.

Answer: 120

  1. Multiples of 40: 40, 80, 120, 160…
  2. Multiples of 24: 24, 48, 72, 96…
  3. Lowest common multiple = 120
11.Find the lowest common multiple (LCM) of 15 and 40.

Answer: 120

  1. Multiples of 15: 15, 30, 45, 60…
  2. Multiples of 40: 40, 80, 120, 160…
  3. Lowest common multiple = 120
12.Find the lowest common multiple (LCM) of 12 and 27.

Answer: 108

  1. Multiples of 12: 12, 24, 36, 48…
  2. Multiples of 27: 27, 54, 81, 108…
  3. Lowest common multiple = 108
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