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
(a) Write $168$ as a product of its prime factors.

(2 marks)

$A = 3^4 \times 5$

$B = 3^2 \times 5^3$
(b) Write down the lowest common multiple (LCM) of $A$ and $B$ .

(1 mark)
Level 3 · 3 marksTry it
2
Write 504 as a product of its prime factors.

Give your answer in index form.
Level 3 · 3 marksTry it
3
Write $396$ as a product of its prime factors. Give your answer in index form.
Level 3 · 2 marksTry it