Yes, 2,017 is a prime number. Its only factors are 1 and 2,017.
A number is prime if no smaller prime up to its square root divides it. The square root of 2,017 is about 44.91, so it is enough to test the primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 and 43.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 1 | No |
| 5 | 2 | No |
| 7 | 1 | No |
| 11 | 4 | No |
| 13 | 2 | No |
| 17 | 11 | No |
| 19 | 3 | No |
| 23 | 16 | No |
| 29 | 16 | No |
| 31 | 2 | No |
| 37 | 19 | No |
| 41 | 8 | No |
| 43 | 39 | No |
None of them divides 2,017 evenly, so 2,017 is prime.
| Number | Prime? |
|---|---|
| 1,901 | Yes |
| 1,999 | Yes |
| 2,001 | No, 3 × 23 × 29 |
| 2,003 | Yes |
| 2,020 | No, 2 × 2 × 5 × 101 |
| 2,021 | No, 43 × 47 |
| 2,023 | No, 7 × 17 × 17 |
| 2,024 | No, 2 × 2 × 2 × 11 × 23 |
More about 2017: 2017 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.