Printable · GCSE Foundation · ages 14-16
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
Fifteen questions on "factors, multiples, primes, hcf and lcm" — DfE statement N4. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
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- 1.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 2.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.
- 3.Work out how many factors 36 has.
- 4.Work out the lowest common multiple of 9 and 15.
- 5.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 6.Is 120 divisible by 5? Give a reason for your answer.
- 7.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 8.Work out how many factors 100 has.
- 9.Write 90 as a product of its prime factors.
- 10.Write down a prime number between 30 and 40.
- 11.Which of these numbers is a common factor of 18 and 24?
- 12.Work out the highest common factor of 20 and 32.
- 13.Write 60 as a product of its prime factors, using index notation.
- 14.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.
- 15.Work out the highest common factor of 12 and 18.
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