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Primes, factors and multiples: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on N4 Primes, factors and multiples, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q1

    June 2025 · Paper 1H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2025 Paper 1H, question 1: Find the highest common factor (HCF) of 54 and 120

  2. Q1

    June 2025 · Paper 2H

    4 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2025 Paper 2H, question 1: (a) Express 250 as a product of its prime factors. (b) Find the lowest common multiple (LCM) of 30 and 25

  3. Q2

    June 2024 · Paper 2H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2024 Paper 2H, question 2: (a) Write 90 as a product of its prime factors. 2 × 3 A = 2 2 B = 2 × 3 (b) Write down the lowest common multiple (LCM) of A and B.

  4. Q1

    June 2024 · Paper 3H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2024 Paper 3H, question 1: Find the highest common factor (HCF) of 63 and 105

  5. Q3

    November 2023 · Paper 1H

    4 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2023 Paper 1H, question 3: (a) Write 156 as a product of its prime factors. (b) Find the highest common factor (HCF) of 156 and 130

  6. Q5

    November 2023 · Paper 3H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2023 Paper 3H, question 5: Ali buys packs of balloons and boxes of pencils. There are 30 balloons in each pack. There are 24 pencils in each box. Ali buys exactly the same number of ballo

  7. Q2

    June 2023 · Paper 2H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2023 Paper 2H, question 2: Write 60 as a product of its prime factors.

  8. Q5

    June 2023 · Paper 3H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2023 Paper 3H, question 5: A and B are numbers such that A = 2 2× 3 4× 7 B = 3 2× 7 2 (a) Find the highest common factor (HCF) of A and B. (b) Find the lowest common multiple (LCM) of A a

  9. Q1

    November 2022 · Paper 1H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2022 Paper 1H, question 1: Write 500 as a product of powers of its prime factors.

  10. Q8

    November 2022 · Paper 1H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2022 Paper 1H, question 8: Two numbers m and n are such that m is a multiple of 5 n is an even number the highest common factor (HCF) of m and n is 7 Write down a possible value for m and

  11. Q2

    June 2022 · Paper 1H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2022 Paper 1H, question 2: Write 124 as a product of its prime factors.

  12. Q2

    November 2021 · Paper 2H

    4 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2021 Paper 2H, question 2: (a) Find the Highest Common Factor (HCF) of 60 and 84 (b) Find the Lowest Common Multiple (LCM) of 24 and 40

  13. Q1

    November 2020 · Paper 2H

    4 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2020 Paper 2H, question 1: (a) Write 84 as a product of its prime factors. (b) Find the lowest common multiple (LCM) of 60 and 84

  14. Q20

    November 2020 · Paper 3H

    1 markN4 Primes, factors and multiples
    The whole paper ↗
    November 2020 Paper 3H, question 20: Here is a list of five numbers. 9853 9864 9873 9888 9891 Find the lowest common multiple of these five numbers.

  15. Q1

    November 2019 · Paper 1H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2019 Paper 1H, question 1: Find the Lowest Common Multiple (LCM) of 108 and 120

  16. Q3

    June 2019 · Paper 1H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2019 Paper 1H, question 3: Find the highest common factor (HCF) of 72 and 90

  17. Q8

    November 2018 · Paper 3H

    5 marksG16 Area of 2D shapes and volume of prismsN4 Primes, factors and multiples
    The whole paper ↗
    November 2018 Paper 3H, question 8: The diagram shows a solid metal cuboid. The areas of three of the faces are marked on the diagram. The lengths, in cm, of the edges of the cuboid are whole numb

  18. Q2

    June 2018 · Paper 2H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2018 Paper 2H, question 2: (a) Find the lowest common multiple (LCM) of 40 and 56 A = 23× 3× 5 B = 22× 3× 52 (b) Write down the highest common factor (HCF) of A and B.

  19. Q10

    June 2018 · Paper 3H

    3 marksN4 Primes, factors and multiples
    The whole paper ↗
    June 2018 Paper 3H, question 10: Here are three lamps. lamp A lamp B lamp C Lamp A flashes every 20 seconds. Lamp B flashes every 45 seconds. Lamp C flashes every 120 seconds. The three lamps s

  20. Q1

    November 2017 · Paper 1H

    2 marksN4 Primes, factors and multiples
    The whole paper ↗
    November 2017 Paper 1H, question 1: Write 36 as a product of its prime factors.
All 21 questions on Primes, factors and multiples, as a list
  1. June 2025, Paper 1H, Q1 (2 marks): Find the highest common factor (HCF) of 54 and 120
  2. June 2025, Paper 2H, Q1 (4 marks): (a) Express 250 as a product of its prime factors. (b) Find the lowest common multiple (LCM) of 30 and 25
  3. June 2024, Paper 2H, Q2 (3 marks): (a) Write 90 as a product of its prime factors. 2 × 3 A = 2 2 B = 2 × 3 (b) Write down the lowest common multiple (LCM) of A and B.
  4. June 2024, Paper 3H, Q1 (2 marks): Find the highest common factor (HCF) of 63 and 105
  5. November 2023, Paper 1H, Q3 (4 marks): (a) Write 156 as a product of its prime factors. (b) Find the highest common factor (HCF) of 156 and 130
  6. November 2023, Paper 3H, Q5 (3 marks): Ali buys packs of balloons and boxes of pencils. There are 30 balloons in each pack. There are 24 pencils in each box. Ali buys exactly the same number of ballo
  7. June 2023, Paper 2H, Q2 (2 marks): Write 60 as a product of its prime factors.
  8. June 2023, Paper 3H, Q5 (3 marks): A and B are numbers such that A = 2 2× 3 4× 7 B = 3 2× 7 2 (a) Find the highest common factor (HCF) of A and B. (b) Find the lowest common multiple (LCM) of A a
  9. November 2022, Paper 1H, Q1 (3 marks): Write 500 as a product of powers of its prime factors.
  10. November 2022, Paper 1H, Q8 (2 marks): Two numbers m and n are such that m is a multiple of 5 n is an even number the highest common factor (HCF) of m and n is 7 Write down a possible value for m and
  11. June 2022, Paper 1H, Q2 (2 marks): Write 124 as a product of its prime factors.
  12. November 2021, Paper 2H, Q2 (4 marks): (a) Find the Highest Common Factor (HCF) of 60 and 84 (b) Find the Lowest Common Multiple (LCM) of 24 and 40
  13. November 2020, Paper 2H, Q1 (4 marks): (a) Write 84 as a product of its prime factors. (b) Find the lowest common multiple (LCM) of 60 and 84
  14. November 2020, Paper 3H, Q20 (1 mark): Here is a list of five numbers. 9853 9864 9873 9888 9891 Find the lowest common multiple of these five numbers.
  15. November 2019, Paper 1H, Q1 (3 marks): Find the Lowest Common Multiple (LCM) of 108 and 120
  16. June 2019, Paper 1H, Q3 (2 marks): Find the highest common factor (HCF) of 72 and 90
  17. November 2018, Paper 3H, Q8 (5 marks): The diagram shows a solid metal cuboid. The areas of three of the faces are marked on the diagram. The lengths, in cm, of the edges of the cuboid are whole numb
  18. June 2018, Paper 2H, Q2 (3 marks): (a) Find the lowest common multiple (LCM) of 40 and 56 A = 23× 3× 5 B = 22× 3× 52 (b) Write down the highest common factor (HCF) of A and B.
  19. June 2018, Paper 3H, Q10 (3 marks): Here are three lamps. lamp A lamp B lamp C Lamp A flashes every 20 seconds. Lamp B flashes every 45 seconds. Lamp C flashes every 120 seconds. The three lamps s
  20. November 2017, Paper 1H, Q1 (2 marks): Write 36 as a product of its prime factors.
  21. June 2017, Paper 1H, Q2 (2 marks): Express 56 as the product of its prime factors.

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