Yes, 227 is a prime number. Its only factors are 1 and 227.
A number is prime if no smaller prime up to its square root divides it. The square root of 227 is about 15.07, 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 | 2 | No |
| 7 | 3 | No |
| 11 | 7 | No |
| 13 | 6 | No |
None of them divides 227 evenly, so 227 is prime.
| Number | Prime? |
|---|---|
| 223 | Yes |
| 224 | No, 2 × 2 × 2 × 2 × 2 × 7 |
| 225 | No, 3 × 3 × 5 × 5 |
| 226 | No, 2 × 113 |
| 228 | No, 2 × 2 × 3 × 19 |
| 229 | Yes |
| 230 | No, 2 × 5 × 23 |
| 231 | No, 3 × 7 × 11 |
More about 227: 227 in binary.
Another number? Use the prime number checker for any value, or see the list of prime numbers.