GCSE · Integers, powers & roots

Prime factorisationExam-style questions

Why every whole number breaks into a unique product of primes, how to find it with a factor tree, and how the prime form answers divisibility and square-number questions instantly.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Write $90$ as a product of its prime factors. Give your answer in index form. [2]
Level 1 · 2 marksTry it
2
Write $24$ as a product of its prime factors.
Level 1 · 2 marksTry it
3
$x = 2 \times 3 \times 5$ . Write down the value of $x$ .
Level 1 · 1 markTry it
4
(a) Write $360$ as a product of its prime factors. (2 marks)
(b) You are given that $84 = 2^2 \times 3 \times 7$

Write down the highest common factor (HCF) of $360$ and $84$ . (1 mark)
Level 2 · 3 marksTry it
5
Write $60$ as a product of its prime factors. Give your answer in index form.
Level 2 · 2 marksTry it

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