Yes, 2,029 is a prime number. Its only factors are 1 and 2,029.
A number is prime if no smaller prime up to its square root divides it. The square root of 2,029 is about 45.04, 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 | 4 | No |
| 7 | 6 | No |
| 11 | 5 | No |
| 13 | 1 | No |
| 17 | 6 | No |
| 19 | 15 | No |
| 23 | 5 | No |
| 29 | 28 | No |
| 31 | 14 | No |
| 37 | 31 | No |
| 41 | 20 | No |
| 43 | 8 | No |
None of them divides 2,029 evenly, so 2,029 is prime.
| Number | Prime? |
|---|---|
| 2,023 | No, 7 × 17 × 17 |
| 2,024 | No, 2 × 2 × 2 × 11 × 23 |
| 2,025 | No, 3 × 3 × 3 × 3 × 5 × 5 |
| 2,027 | Yes |
| 2,999 | Yes |
| 3,001 | Yes |
| 4,001 | Yes |
| 5,003 | Yes |
More about 2029: 2029 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.