Is 89 Prime?

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

To check if 89 is prime, we need to verify that no number from 2 to √89 divides it evenly.

Since 89 is odd, we only need to check odd divisors.

We only need to test up to √89 ≈ 9.43, which rounds down to 9.

If 89 has a factor larger than √89, it must also have a corresponding factor smaller than √89.

Testing: 3, 5, 7, ... up to 9

None of these numbers divide 89 evenly.

89 has no divisors between 2 and 9.

The only factors of 89 are 1 and 89 itself.

Therefore, 89 is a PRIME number!