Is 53 Prime?

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

To check if 53 is prime, we need to verify that no number from 2 to √53 divides it evenly.

Since 53 is odd, we only need to check odd divisors.

We only need to test up to √53 ≈ 7.28, which rounds down to 7.

If 53 has a factor larger than √53, it must also have a corresponding factor smaller than √53.

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

None of these numbers divide 53 evenly.

53 has no divisors between 2 and 7.

The only factors of 53 are 1 and 53 itself.

Therefore, 53 is a PRIME number!