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.Write 60 as a product of its prime factors, using index notation.
- 2.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 3.Write 200 as a product of its prime factors, using index notation.
- 4.Write 90 as a product of its prime factors.
- 5.Work out the lowest common multiple of 4 and 6.
- 6.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 7.Write down a prime number between 30 and 40.
- 8.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 9.Write 12 as a product of its prime factors.
- 10.Work out how many factors 100 has.
- 11.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 12.Work out the highest common factor of 20 and 32.
- 13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 14.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.
- 15.Is 120 divisible by 5? Give a reason for your answer.
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