Is 37 Prime?

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

To check if 37 is prime, we need to verify that no number from 2 to √37 divides it evenly.

Since 37 is odd, we only need to check odd divisors.

We only need to test up to √37 ≈ 6.08, which rounds down to 6.

If 37 has a factor larger than √37, it must also have a corresponding factor smaller than √37.

Testing: 3, 5, 7, ... up to 6

None of these numbers divide 37 evenly.

37 has no divisors between 2 and 6.

The only factors of 37 are 1 and 37 itself.

Therefore, 37 is a PRIME number!