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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    (a) Write 360360 as a product of its prime factors. (2 marks)
    (b) You are given that 84=22×3×784 = 2^2 \times 3 \times 7

    Write down the highest common factor (HCF) of 360360 and 8484. (1 mark)
    Level 2 · 3 marksTry it
  2. 2
    Write 6060 as a product of its prime factors. Give your answer in index form.
    Level 2 · 2 marksTry it