Factors of 54
Every whole number that divides 54 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.
Factor pairs of 54
| Pair | Makes |
|---|---|
| 1 × 54 | 54 |
| 2 × 27 | 54 |
| 3 × 18 | 54 |
| 6 × 9 | 54 |
Prime factors of 54
- Prime factorisation
- 54 = 2 × 3 × 3 × 3 (2 × 3³)
- Is 54 prime?
- No. It has 8 factors, not just 1 and 54.
- Is 54 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 54 falls between two square numbers.
How to find the factors of 54
54 is even, so 2 is sure to be a factor. Its digits add up to 9, a multiple of 9, so 3 and 9 are factors. Work up from 1 to 7, and write down both numbers in every pair you find.
- 54 ÷ 1 = 54, so 1 × 54 is a pair.
- 54 ÷ 2 = 27, so 2 × 27 is a pair.
- 54 ÷ 3 = 18, so 3 × 18 is a pair.
- 4 does not go into 54 exactly.
- 5 does not go into 54 exactly.
- 54 ÷ 6 = 9, so 6 × 9 is a pair.
- 7 does not go into 54 exactly.
Stop at 8: 8 × 8 = 64, which is more than 54. The next pair you would find is 9 × 6, which is 6 × 9 turned round, so you already have every pair.
54 in the times tables
3 × 18 = 54 and 6 × 9 = 54. Practise the 6 times table, 9 times table and 18 times table.
More numbers
Check whether 54 is prime.
Questions parents ask
What is the largest factor of 54, apart from 54 itself?
27. Divide 54 by its smallest factor above 1, which is 2: 54 ÷ 2 = 27.
What do the factors of 54 add up to?
120. Leaving out 54 itself, they add up to 66, which is more than 54, so 54 is called an abundant number.
Which number after 54 has the same number of factors?
56. Like 54, it has exactly 8 factors.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.