Is 101 Prime?

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

To check if 101 is prime, we need to verify that no number from 2 to √101 divides it evenly.

Since 101 is odd, we only need to check odd divisors.

We only need to test up to √101 ≈ 10.05, which rounds down to 10.

If 101 has a factor larger than √101, it must also have a corresponding factor smaller than √101.

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

None of these numbers divide 101 evenly.

101 has no divisors between 2 and 10.

The only factors of 101 are 1 and 101 itself.

Therefore, 101 is a PRIME number!