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.Work out how many factors 100 has.
- 2.Write down a prime number between 30 and 40.
- 3.Work out the highest common factor of 12 and 18.
- 4.Write 60 as a product of its prime factors, using index notation.
- 5.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.
- 6.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 7.Is 120 divisible by 5? Give a reason for your answer.
- 8.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.
- 9.Work out the highest common factor of 15 and 25.
- 10.Work out how many factors 36 has.
- 11.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 12.Which of these numbers is a common factor of 18 and 24?
- 13.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 14.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.
- 15.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.
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