Yes, 113 is a prime number. Its only factors are 1 and 113.
A number is prime if no smaller prime up to its square root divides it. The square root of 113 is about 10.63, 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 | 3 | No |
| 7 | 1 | No |
None of them divides 113 evenly, so 113 is prime.
| Number | Prime? |
|---|---|
| 109 | Yes |
| 110 | No, 2 × 5 × 11 |
| 111 | No, 3 × 37 |
| 112 | No, 2 × 2 × 2 × 2 × 7 |
| 114 | No, 2 × 3 × 19 |
| 115 | No, 5 × 23 |
| 116 | No, 2 × 2 × 29 |
| 117 | No, 3 × 3 × 13 |
More about 113: factors of 113 · 113 squared · square root of 113 · 113 in binary · 113 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.