Factors of 62
Every whole number that divides 62 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 62 are 1, 2, 31 and 62.
Factor pairs of 62
| Pair | Makes |
|---|---|
| 1 × 62 | 62 |
| 2 × 31 | 62 |
Prime factors of 62
- Prime factorisation
- 62 = 2 × 31
- Is 62 prime?
- No. It has 4 factors, not just 1 and 62.
- Is 62 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 62 falls between two square numbers.
How to find the factors of 62
62 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.
- 62 ÷ 1 = 62, so 1 × 62 is a pair.
- 62 ÷ 2 = 31, so 2 × 31 is a pair.
- 3 does not go into 62 exactly.
- 4 does not go into 62 exactly.
- 5 does not go into 62 exactly.
- 6 does not go into 62 exactly.
- 7 does not go into 62 exactly.
Stop at 8: 8 × 8 = 64, which is more than 62. The next pair you would find is 31 × 2, which is 2 × 31 turned round, so you already have every pair.
More numbers
Check whether 62 is prime.
Questions parents ask
What is the largest factor of 62, apart from 62 itself?
31. Divide 62 by its smallest factor above 1, which is 2: 62 ÷ 2 = 31.
What do the factors of 62 add up to?
96. Leaving out 62 itself, they add up to 34, which is less than 62, so 62 is called a deficient number.
Which number after 62 has the same number of factors?
65. Like 62, 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.