Yes, 1,201 is a prime number. Its only factors are 1 and 1,201.
A number is prime if no smaller prime up to its square root divides it. The square root of 1,201 is about 34.66, so it is enough to test the primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 1 | No |
| 5 | 1 | No |
| 7 | 4 | No |
| 11 | 2 | No |
| 13 | 5 | No |
| 17 | 11 | No |
| 19 | 4 | No |
| 23 | 5 | No |
| 29 | 12 | No |
| 31 | 23 | No |
None of them divides 1,201 evenly, so 1,201 is prime.
| Number | Prime? |
|---|---|
| 1,009 | Yes |
| 1,024 | No, 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 |
| 1,049 | Yes |
| 1,111 | No, 11 × 101 |
| 1,231 | Yes |
| 1,297 | Yes |
| 1,357 | No, 23 × 59 |
| 1,459 | Yes |
Another number? Use the prime number checker for any value, or see the list of prime numbers.