Factors and multiples · Usually met around P4
Multiples
Divides exactly: a multiple. They never end.
How to do it
Method
Divides exactly: a multiple. They never end
54 ÷ 6 = 9, so 54 is a multiple of 6
Another way
Count on in steps
6, 12, 18, 24, 30, 36, 42, 48, 54
In full
Multiply a number by 1, 2, 3, 4… and every answer is a multiple of it: the multiples of 6 are 6, 12, 18, 24… A number is a multiple of itself (6 × 1), and the multiples never end: there are infinitely many. To see whether 54 is a multiple of 6, divide: 54 ÷ 6 = 9 with no remainder, so it is. Or count on from 6 in sixes and see whether you land on 54. Since 6 × 9 = 54, 54 is a multiple of 6 and 6 is a factor of 54: factors and multiples are two sides of one multiplication.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
Counting up, what is the 7th multiple of 6?
Show the answer and working
Answer: 42
The 1st multiple of 6 is 6 × 1, so the 7th is 6 × 7 = 42.
Example 2
Which of these is NOT a multiple of 7?
- A. 105
- B. 91
- C. 72
- D. 84
Choose the right answer
Show the answer and working
Answer: C. 72
72 ÷ 7 leaves a remainder, so 72 is not a multiple of 7.
Example 3
From 73 to 112 (including both), how many multiples of 6 are there?
Show the answer and working
Answer: 6
The multiples of 6 from 1 to 112, take away those below 73: 6.
Practise it in the game →Factors and multiples · Free to start, unlimited questions, no download