Is 47 Prime?

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

To check if 47 is prime, we need to verify that no number from 2 to √47 divides it evenly.

Since 47 is odd, we only need to check odd divisors.

We only need to test up to √47 ≈ 6.86, which rounds down to 6.

If 47 has a factor larger than √47, it must also have a corresponding factor smaller than √47.

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

None of these numbers divide 47 evenly.

47 has no divisors between 2 and 6.

The only factors of 47 are 1 and 47 itself.

Therefore, 47 is a PRIME number!