Is 67 Prime?

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

To check if 67 is prime, we need to verify that no number from 2 to √67 divides it evenly.

Since 67 is odd, we only need to check odd divisors.

We only need to test up to √67 ≈ 8.19, which rounds down to 8.

If 67 has a factor larger than √67, it must also have a corresponding factor smaller than √67.

Testing: 3, 5, 7, ... up to 8

None of these numbers divide 67 evenly.

67 has no divisors between 2 and 8.

The only factors of 67 are 1 and 67 itself.

Therefore, 67 is a PRIME number!