Yes, 97 is a prime number. Its only factors are 1 and 97.
A number is prime if no smaller prime up to its square root divides it. The square root of 97 is about 9.85, so it is enough to test the primes 2, 3, 5 and 7.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 1 | No |
| 5 | 2 | No |
| 7 | 6 | No |
None of them divides 97 evenly, so 97 is prime.
| Number | Prime? |
|---|---|
| 93 | No, 3 × 31 |
| 94 | No, 2 × 47 |
| 95 | No, 5 × 19 |
| 96 | No, 2 × 2 × 2 × 2 × 2 × 3 |
| 98 | No, 2 × 7 × 7 |
| 99 | No, 3 × 3 × 11 |
| 100 | No, 2 × 2 × 5 × 5 |
| 101 | Yes |
More about 97: factors of 97 · 97 squared · square root of 97 · 97 in binary · 97 in Roman numerals.
Another number? Use the prime number checker for any value, or see the list of prime numbers.