Is 37 a prime number?
37 is a prime number. Here is how to check it, one division at a time.
The answer
Yes. 37 is a prime number: its only factors are 1 and 37.
How to check that 37 is prime
Try dividing 37 by the prime numbers, starting with 2. You only need primes: if 4 went into 37, then 2 would too.
- 37 ÷ 2 = 18 remainder 1, so 2 is not a factor.
- 37 ÷ 3 = 12 remainder 1, so 3 is not a factor.
- 37 ÷ 5 = 7 remainder 2, so 5 is not a factor.
Stop at 7: 7 × 7 = 49, which is more than 37. Any factor bigger than that would need a partner smaller than 7, and you have already tried those. So 37 is prime.
Where 37 comes among the primes
37 is the 12th prime number. The prime just before it is 31.
There are 25 prime numbers up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Around 37
- 37 is not in any times table from 2 to 12. The answers either side of it are 36 (3 × 12, 4 × 9, 6 × 6, 9 × 4 and 12 × 3) and 40 (4 × 10, 5 × 8, 8 × 5 and 10 × 4).
- The nearest square number is 36 (6 × 6), 1 below it.
- Primes 4 apart are called cousin primes, and 37 has one cousin: 41.
37 at a glance
- In words
- thirty-seven
- In Roman numerals
- XXXVII
- Odd or even
- Odd: it ends in 7
- Its factors add up to
- 38, or 1 without 37 itself, which makes 37 a deficient number
Related pages
More numbers
Questions parents ask
Is 37 one of a pair of twin primes?
No. Twin primes are two primes 2 apart, such as 11 and 13. Neither 35 nor 39 is prime, so 37 has no twin.
What is the next prime number after 37?
41, which is 4 more than 37. Every number in between has a factor other than 1 and itself.
What is 37 × 37?
37 × 37 = 1369. The square of a prime has exactly three factors: 1, 37 and 1369.
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.