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.
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
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- 1.Which of these numbers is a common factor of 18 and 24?
- 2.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 3.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.
- 4.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 5.Work out the lowest common multiple of 4 and 6.
- 6.Write 12 as a product of its prime factors.
- 7.Work out the highest common factor of 12 and 18.
- 8.Write 90 as a product of its prime factors.
- 9.Write 60 as a product of its prime factors, using index notation.
- 10.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.
- 11.Work out how many factors 36 has.
- 12.Write 200 as a product of its prime factors, using index notation.
- 13.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 14.Work out how many factors 100 has.
- 15.Work out the highest common factor of 20 and 32.
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