Lesson N4

N4 Primes, factors, multiples, HCF, LCM and prime factorisation Quiz: AQA Maths, Unit 1

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson N4, Primes, factors, multiples, HCF, LCM and prime factorisation: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 1: Number, written with Revision Ninja.

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The 20 questions

  1. Which of these is a prime number?

    • 91
    • 27
    • 29
    • 51

  2. Write 60 as a product of its prime factors in index form.

    • 2² × 3 × 5
    • 2 × 2 × 3 × 3 × 5
    • 2 × 3 × 10
    • 2³ × 3 × 5

  3. What is the HCF of 24 and 36?

    • 6
    • 12
    • 72
    • 4

  4. What is the LCM of 4 and 6?

    • 24
    • 12
    • 6
    • 2

  5. Find the HCF of 2³ × 3 × 5 and 2 × 3² × 7.

    • 2
    • 90
    • 6
    • 126

  6. Which number is a common multiple of 6 and 9?

    • 36
    • 27
    • 15
    • 24

  7. How many factors does 12 have?

    • 8
    • 6
    • 5
    • 4

  8. Which pair of numbers has an HCF of 1?

    • 8 and 15
    • 10 and 25
    • 6 and 9
    • 12 and 18

  9. Write 150 as a product of prime factors in index form.

    • 2 × 3² × 5²
    • 2 × 3 × 5²
    • 2 × 3 × 5³
    • 2² × 3 × 5²

  10. What is the LCM of 8 and 12?

    • 96
    • 24
    • 48
    • 4

  11. Is the number 1 prime?

    • No, it is a square number
    • Yes, it is an odd number
    • No, it has only one factor
    • Yes, it has exactly two factors

  12. Which of these is NOT a multiple of 7?

    • 63
    • 49
    • 45
    • 84

  13. Two numbers are 2³ × 5 and 2 × 5². What is their LCM in index form?

    • 2 × 5
    • 2³ × 5²
    • 2 × 5²
    • 2³ × 5

  14. Two lights flash every 4 seconds and every 6 seconds. After how many seconds do they next flash together, starting together at zero?

    • 24 seconds
    • 12 seconds
    • 10 seconds
    • 2 seconds

  15. 36 pencils and 48 pens are packed into identical boxes with no mixing. What is the largest number of boxes possible?

    • 6
    • 12
    • 24
    • 3

  16. Which set contains only prime numbers?

    • 2, 3, 5, 7
    • 1, 2, 3, 5
    • 2, 4, 5, 7
    • 3, 9, 11, 13

  17. What is the smallest prime factor of 221?

    • 11
    • 21
    • 17
    • 13

  18. Write 504 as a product of prime factors in index form.

    • 2³ × 3 × 7
    • 2² × 3 × 7²
    • 2 × 3² × 7²
    • 2³ × 3² × 7

  19. Which statement about prime numbers is true?

    • The number 9 is prime, since it is an odd number
    • Even numbers above 2 are never prime
    • All odd numbers are prime numbers, including 9 and 15
    • Every prime number is an odd number, with no exceptions

  20. What is the HCF of 30, 45 and 75?

    • 3
    • 30
    • 5
    • 15

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