Yes, 1,901 is a prime number. Its only factors are 1 and 1,901.
A number is prime if no smaller prime up to its square root divides it. The square root of 1,901 is about 43.60, 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 | 2 | No |
| 5 | 1 | No |
| 7 | 4 | No |
| 11 | 9 | No |
| 13 | 3 | No |
| 17 | 14 | No |
| 19 | 1 | No |
| 23 | 15 | No |
| 29 | 16 | No |
| 31 | 10 | No |
| 37 | 14 | No |
| 41 | 15 | No |
| 43 | 9 | No |
None of them divides 1,901 evenly, so 1,901 is prime.
| Number | Prime? |
|---|---|
| 1,501 | No, 19 × 79 |
| 1,601 | Yes |
| 1,729 | No, 7 × 13 × 19 |
| 1,801 | Yes |
| 1,999 | Yes |
| 2,001 | No, 3 × 23 × 29 |
| 2,003 | Yes |
| 2,017 | Yes |
More about 1901: 1901 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.