Factors of 53
Every whole number that divides 53 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 53 are 1 and 53. 53 is a prime number.
Factor pairs of 53
| Pair | Makes |
|---|---|
| 1 × 53 | 53 |
Prime factors of 53
- Prime factorisation
- 53 = 53
- Is 53 prime?
- Yes. It is the 16th prime number.
- Is 53 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 53 falls between two square numbers.
How to find the factors of 53
53 is prime, so the only pair you will find is 1 × 53. Work up from 1 to 7, and write down both numbers in every pair you find.
- 53 ÷ 1 = 53, so 1 × 53 is a pair.
- 2 does not go into 53 exactly.
- 3 does not go into 53 exactly.
- 4 does not go into 53 exactly.
- 5 does not go into 53 exactly.
- 6 does not go into 53 exactly.
- 7 does not go into 53 exactly.
Stop at 8: 8 × 8 = 64, which is more than 53. The next pair you would find is 53 × 1, which is 1 × 53 turned round, so you already have every pair.
More numbers
Check whether 53 is prime.
Questions parents ask
What is the largest factor of 53, apart from 53 itself?
1. 53 is prime, so apart from 53 itself its only factor is 1.
What do the factors of 53 add up to?
54. Leaving out 53 itself, they add up to 1, which is less than 53, so 53 is called a deficient number.
Which number after 53 has the same number of factors?
59. Like 53, it has exactly 2 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.