Year 9 – Number 1 - CORE
Homework – Factors and Multiples
Section 1: Factors and Multiples
Write down the factors of:
a) 18b) 42c) 48d) 81Write down the first 5 multiples of:
a) 7b) 9c) 12d) 15-
Section 2: HCF and LCM
1. Using Factor Mountains or Factor Flowers, find the Highest
Common Factor of:
a) 12 and 18
b) 24 and 32
c) 12, 15 and 45
2. By listing the first multiples of each number, find the
Lowest Common Multiple of:
a) 8 and 10
b) 6 and 15
c) 18 and 30
d) 12 and 15
Year 9 – Number 1 - CORE
Section 3: Prime Factor Decomposition
1. Complete the prime factor decomposition of 24:
24
24= 2 x
6
=2
x
x
x
2. Write each number as a product of its prime factors
a) 16
b) 36
c) 60
d) 126
e)180
Section 4: HCF/LCM (Extension)
1. Jed has 20p and Zak has 45p. They both buy some toffees and they
both spend all of the money.
What is the maximum cost of a toffee?
2. Yadira’s mum is buying sausages and rolls for a family bbq. Sausages
come in packs of 12 and rolls come in packs of 9. She cannot buy
parts of packs but she wants the same number of each.
What is the minimum number of sausages Yadira’s mum can buy?