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Year 5 · Maths · Factors, multiples and primes · Lesson 1

Factors and multiples

Factors, factor pairs, multiples, testing for factors and multiples with division, and common factors and common multiples.

Whiteboard video lesson: Factors and multiples

18-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Identify factors and multiples
  • Find all factor pairs
  • Find common factors
  • Find common multiples

The method

  1. Start at 1.
  2. Try each number.
  3. Write pairs.
  4. Stop at repeats.

Key words: factor, multiple, factor pair, common factor, common multiple.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Find all the factor pairs of 12.

  1. Step 1: Start at 1 and work up: does it divide exactly?
  2. Step 2: 1 × 12 2 × 6 3 × 4
  3. Step 3: Stop when the pairs meet

Answer: 1 × 12, 2 × 6, 3 × 4

Question 2

Find all the factor pairs of 18.

  1. Step 1: Start at 1 and work up: does it divide exactly?
  2. Step 2: 1 × 18 2 × 9 3 × 6
  3. Step 3: Stop when the pairs meet

Answer: 1 × 18, 2 × 9, 3 × 6

Question 3

Find all the factor pairs of 30.

  1. Step 1: Start at 1 and work up: does it divide exactly?
  2. Step 2: 1 × 30 2 × 15 3 × 10 5 × 6
  3. Step 3: Stop when the pairs meet

Answer: 1 × 30, 2 × 15, 3 × 10, 5 × 6