Factors of 57
Every whole number that divides 57 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 57 are 1, 3, 19 and 57.
Factor pairs of 57
| Pair | Makes |
|---|---|
| 1 × 57 | 57 |
| 3 × 19 | 57 |
Prime factors of 57
- Prime factorisation
- 57 = 3 × 19
- Is 57 prime?
- No. It has 4 factors, not just 1 and 57.
- Is 57 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 57 falls between two square numbers.
How to find the factors of 57
57 is odd, so every even number you try will fail. Its digits add up to 12, a multiple of 3, so 3 is a factor. Work up from 1 to 7, and write down both numbers in every pair you find.
- 57 ÷ 1 = 57, so 1 × 57 is a pair.
- 2 does not go into 57 exactly.
- 57 ÷ 3 = 19, so 3 × 19 is a pair.
- 4 does not go into 57 exactly.
- 5 does not go into 57 exactly.
- 6 does not go into 57 exactly.
- 7 does not go into 57 exactly.
Stop at 8: 8 × 8 = 64, which is more than 57. The next pair you would find is 19 × 3, which is 3 × 19 turned round, so you already have every pair.
57 in the times tables
3 × 19 = 57. Practise the 19 times table.
More numbers
Check whether 57 is prime.
Questions parents ask
What is the largest factor of 57, apart from 57 itself?
19. Divide 57 by its smallest factor above 1, which is 3: 57 ÷ 3 = 19.
What do the factors of 57 add up to?
80. Leaving out 57 itself, they add up to 23, which is less than 57, so 57 is called a deficient number.
Which number after 57 has the same number of factors?
58. Like 57, it has exactly 4 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.