Factors of 52
Every whole number that divides 52 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 52 are 1, 2, 4, 13, 26 and 52.
Factor pairs of 52
| Pair | Makes |
|---|---|
| 1 × 52 | 52 |
| 2 × 26 | 52 |
| 4 × 13 | 52 |
Prime factors of 52
- Prime factorisation
- 52 = 2 × 2 × 13 (2² × 13)
- Is 52 prime?
- No. It has 6 factors, not just 1 and 52.
- Is 52 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 52 falls between two square numbers.
How to find the factors of 52
52 is even, so 2 is sure to be a factor. Work up from 1 to 7, and write down both numbers in every pair you find.
- 52 ÷ 1 = 52, so 1 × 52 is a pair.
- 52 ÷ 2 = 26, so 2 × 26 is a pair.
- 3 does not go into 52 exactly.
- 52 ÷ 4 = 13, so 4 × 13 is a pair.
- 5 does not go into 52 exactly.
- 6 does not go into 52 exactly.
- 7 does not go into 52 exactly.
Stop at 8: 8 × 8 = 64, which is more than 52. The next pair you would find is 13 × 4, which is 4 × 13 turned round, so you already have every pair.
52 in the times tables
4 × 13 = 52. Practise the 13 times table.
More numbers
Check whether 52 is prime.
Questions parents ask
What is the largest factor of 52, apart from 52 itself?
26. Divide 52 by its smallest factor above 1, which is 2: 52 ÷ 2 = 26.
What do the factors of 52 add up to?
98. Leaving out 52 itself, they add up to 46, which is less than 52, so 52 is called a deficient number.
Which number after 52 has the same number of factors?
63. Like 52, it has exactly 6 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.