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.Is 120 divisible by 5? Give a reason for your answer.
- 2.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.
- 3.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.
- 4.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.
- 5.Work out the highest common factor of 12 and 18.
- 6.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 7.Work out how many factors 36 has.
- 8.Write 60 as a product of its prime factors, using index notation.
- 9.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.
- 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 lowest common multiple of 4 and 6.
- 13.Work out the highest common factor of 15 and 25.
- 14.Work out the highest common factor of 20 and 32.
- 15.Write 200 as a product of its prime factors, using index notation.
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