Yes, 137 is a prime number. Its only factors are 1 and 137.
A number is prime if no smaller prime up to its square root divides it. The square root of 137 is about 11.70, so it is enough to test the primes 2, 3, 5, 7 and 11.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 2 | No |
| 5 | 2 | No |
| 7 | 4 | No |
| 11 | 5 | No |
None of them divides 137 evenly, so 137 is prime.
| Number | Prime? |
|---|---|
| 133 | No, 7 × 19 |
| 134 | No, 2 × 67 |
| 135 | No, 3 × 3 × 3 × 5 |
| 136 | No, 2 × 2 × 2 × 17 |
| 138 | No, 2 × 3 × 23 |
| 139 | Yes |
| 140 | No, 2 × 2 × 5 × 7 |
| 141 | No, 3 × 47 |
More about 137: factors of 137 · 137 squared · square root of 137 · 137 in binary · 137 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.