Is 3 Prime?

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

To check if 3 is prime, we need to verify that no number from 2 to √3 divides it evenly.

Since 3 is odd, we only need to check odd divisors.

We only need to test up to √3 ≈ 1.73, which rounds down to 1.

If 3 has a factor larger than √3, it must also have a corresponding factor smaller than √3.

Testing: 3, 5, 7, ... up to 1

None of these numbers divide 3 evenly.

3 has no divisors between 2 and 1.

The only factors of 3 are 1 and 3 itself.

Therefore, 3 is a PRIME number!