Yes, 269 is a prime number. Its only factors are 1 and 269.
A number is prime if no smaller prime up to its square root divides it. The square root of 269 is about 16.40, so it is enough to test the primes 2, 3, 5, 7, 11 and 13.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 2 | No |
| 5 | 4 | No |
| 7 | 3 | No |
| 11 | 5 | No |
| 13 | 9 | No |
None of them divides 269 evenly, so 269 is prime.
| Number | Prime? |
|---|---|
| 265 | No, 5 × 53 |
| 266 | No, 2 × 7 × 19 |
| 267 | No, 3 × 89 |
| 268 | No, 2 × 2 × 67 |
| 270 | No, 2 × 3 × 3 × 3 × 5 |
| 271 | Yes |
| 272 | No, 2 × 2 × 2 × 2 × 17 |
| 273 | No, 3 × 7 × 13 |
Another number? Use the prime number checker for any value, or see the list of prime numbers.