Is 59 Prime?

A prime number is a natural number greater than 1 that has exactly two factors: 1 and itself.

To check if 59 is prime, we need to verify that no number from 2 to √59 divides it evenly.

Since 59 is odd, we only need to check odd divisors.

We only need to test up to √59 ≈ 7.68, which rounds down to 7.

If 59 has a factor larger than √59, it must also have a corresponding factor smaller than √59.

Testing: 3, 5, 7, ... up to 7

None of these numbers divide 59 evenly.

59 has no divisors between 2 and 7.

The only factors of 59 are 1 and 59 itself.

Therefore, 59 is a PRIME number!