Yes, 37 is a prime number. Its only factors are 1 and 37.
A number is prime if no smaller prime up to its square root divides it. The square root of 37 is about 6.08, so it is enough to test the primes 2, 3 and 5.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 1 | No |
| 5 | 2 | No |
None of them divides 37 evenly, so 37 is prime.
| Number | Prime? |
|---|---|
| 33 | No, 3 × 11 |
| 34 | No, 2 × 17 |
| 35 | No, 5 × 7 |
| 36 | No, 2 × 2 × 3 × 3 |
| 38 | No, 2 × 19 |
| 39 | No, 3 × 13 |
| 40 | No, 2 × 2 × 2 × 5 |
| 41 | Yes |
More about 37: factors of 37 · 37 squared · square root of 37 · 37 in binary · 37 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.