N1.6 The concepts and vocabulary of factor (divisor), multiple, common factor, highest common factor, least common multiple, prime number and prime factor decomposition.
Candidates should be able to:
identify multiples, factors and prime numbers from lists of numbers
write out lists of multiples and factors to identify common multiples or common factors of two or more integers
write a number as the product of its prime factors and use formal and informal methods for identifying highest common factors (HCF) and least common multiples (LCM)
Examples
Write 60 as the product of its prime factors. Give your answer in index form.
Envelopes are sold in packs of 18. Address labels are sold in packs of 30. Terry needs the same number of envelopes and address labels. What is the smallest number of each pack he can buy?
Find the lowest common multiple of 42 and 63.
a and b are prime numbers such that ab³ = 54. Find the values of a and b.
The highest common factor of 54, 72 and x is 18. Write down two possible values of x.