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.
Non-calculator
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Work out the highest common factor of 12 and 18.
- 2.Work out the highest common factor of 15 and 25.
- 3.Which statement about the number 91 is correct?
- 4.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.
- 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.Write down a prime number between 30 and 40.
- 7.Work out the highest common factor of 20 and 32.
- 8.Work out the lowest common multiple of 9 and 15.
- 9.Write 90 as a product of its prime factors.
- 10.Write 12 as a product of its prime factors.
- 11.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.
- 12.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.
- 13.Work out how many factors 36 has.
- 14.Write 60 as a product of its prime factors, using index notation.
- 15.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.
Build your own mix at the worksheet builder.