Is 107 Prime?

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

To check if 107 is prime, we need to verify that no number from 2 to √107 divides it evenly.

Since 107 is odd, we only need to check odd divisors.

We only need to test up to √107 ≈ 10.34, which rounds down to 10.

If 107 has a factor larger than √107, it must also have a corresponding factor smaller than √107.

Testing: 3, 5, 7, ... up to 10

None of these numbers divide 107 evenly.

107 has no divisors between 2 and 10.

The only factors of 107 are 1 and 107 itself.

Therefore, 107 is a PRIME number!