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.
- Two prime numbers with a difference of 4 are called cousin primes. 37 has one cousin prime: 41.
37 at a glance
Optional extra number facts:
- 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. 37 is deficient: Deficient means this sum is less than the 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.
Continue your number practice
Explore the diagnostic for another set of practice questions.