Yes, 59 is a prime number. Its only factors are 1 and 59.
A number is prime if no smaller prime up to its square root divides it. The square root of 59 is about 7.68, so it is enough to test the primes 2, 3, 5 and 7.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 2 | No |
| 5 | 4 | No |
| 7 | 3 | No |
None of them divides 59 evenly, so 59 is prime.
| Number | Prime? |
|---|---|
| 55 | No, 5 × 11 |
| 56 | No, 2 × 2 × 2 × 7 |
| 57 | No, 3 × 19 |
| 58 | No, 2 × 29 |
| 60 | No, 2 × 2 × 3 × 5 |
| 61 | Yes |
| 62 | No, 2 × 31 |
| 63 | No, 3 × 3 × 7 |
More about 59: factors of 59 · 59 squared · square root of 59 · 59 in binary · 59 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.