Factors of 37
Every whole number that divides 37 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 37 are 1 and 37. 37 is a prime number.
Factor pairs of 37
| Pair | Makes |
|---|---|
| 1 × 37 | 37 |
Prime factors of 37
- Prime factorisation
- 37 = 37
- Is 37 prime?
- Yes. It is the 12th prime number.
- Is 37 a square number?
- No. 6 × 6 = 36 and 7 × 7 = 49, so 37 falls between two square numbers.
How to find the factors of 37
37 is prime, so the only pair you will find is 1 × 37. Work up from 1 to 6, and write down both numbers in every pair you find.
- 37 ÷ 1 = 37, so 1 × 37 is a pair.
- 2 does not go into 37 exactly.
- 3 does not go into 37 exactly.
- 4 does not go into 37 exactly.
- 5 does not go into 37 exactly.
- 6 does not go into 37 exactly.
Stop at 7: 7 × 7 = 49, which is more than 37. The next pair you would find is 37 × 1, which is 1 × 37 turned round, so you already have every pair.
More numbers
Check whether 37 is prime.
Questions parents ask
What is the largest factor of 37, apart from 37 itself?
1. 37 is prime, so apart from 37 itself its only factor is 1.
What do the factors of 37 add up to?
38. Leaving out 37 itself, they add up to 1, which is less than 37, so 37 is called a deficient number.
Which number after 37 has the same number of factors?
41. Like 37, 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.