Prime factor decomposition

The Maths Habit Handout to print

Prime or composite? Give a reason.

  1. 31

    Prime: its only factors are 1 and 31
  2. 35

    Composite: 35 = 5 × 7
  3. 1

    Neither: it has only one factor

Make 12 by multiplying.
How many ways can you find?

They all break down to 2 × 2 × 3

Product
The answer when numbers are multiplied.
Prime factor
A factor that is a prime number.

Write as a product of prime factors

Write as a product of prime factors

Write 28 as a product of prime factors

22 × 7

Write 45 as a product of prime factors

32 × 5

Write 28 as a product of prime factors

22 × 7

Write 50 as a product of prime factors

2 × 52

Write 28 as a product of prime factors

22 × 7

Write 63 as a product of prime factors

32 × 7

Write 28 as a product of prime factors

22 × 7

Write 66 as a product of prime factors

2 × 3 × 11

Write 28 as a product of prime factors

22 × 7

Write 90 as a product of prime factors

2 × 32 × 5

Prime factor decomposition worksheet, page 1

Prime factor decomposition worksheet, page 2

Answer sheet

  1. What is the smallest number that has three different prime factors?

    30
  2. Jo says the prime factor decomposition of 24 is 2 × 3 × 4. What has she done wrong?

    4 is not prime

  1. Write 60 as a product of prime factors.

    22 × 3 × 5
  2. Write 98 as a product of prime factors.

    2 × 72
  3. Ola says 40 = 2 × 4 × 5 as a product of prime factors. Is she right? Explain.

    No: 4 is not prime. 23 × 5
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