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Grade 4 · Maths · Lessons
Every factor, and primes
✖️times🔢pairs⭐prime🧩multiple
Factors.
The big ideaA factor pair is two numbers that multiply to make the number.

How it works

A factor pair is two numbers that multiply to make the number.

A multiple is what you get counting by a number: 2, 4, 6, 8.

A prime has only two factors: 1 and itself.

Pairs• 1 × 12• 2 × 6• 3 × 4Factors of 12• 1, 2, 3, 4, 6, 12
Factor pairs of 12.

Example 1: A missing partner

  1. 6 × ? = 30
  2. 6 times what makes 30?
  3. Think of the 6 times table.
  4. So the answer is 5.

Example 2: A multiple

  1. Is 28 a multiple of 2?
  2. Count by 2s: 2, 4, 6 and on.
  3. 28 is in the 2s.
  4. So the answer is Yes.

Example 3: All the factors of 48

  1. Try 1, 2, 3, 4, 6 and 8, as they all divide into 48.
  2. 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8.
  3. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Words to know

factor
A number that divides into another exactly.
prime
A number with exactly two factors.

Watch out

Try it

  1. What are the factor pairs of 10?
  2. Is 7 a prime number?
  3. Is 15 a multiple of 5?
  4. Name a factor of 20 that is bigger than 5.
Answers: 1. 1 × 10 and 2 × 5 · 2. yes · 3. yes · 4. 10 or 20
For grown-upsArrange 12 buttons in rectangles in as many ways as possible to see the factor pairs.
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