Is 71 Prime?

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

To check if 71 is prime, we need to verify that no number from 2 to √71 divides it evenly.

Since 71 is odd, we only need to check odd divisors.

We only need to test up to √71 ≈ 8.43, which rounds down to 8.

If 71 has a factor larger than √71, it must also have a corresponding factor smaller than √71.

Testing: 3, 5, 7, ... up to 8

None of these numbers divide 71 evenly.

71 has no divisors between 2 and 8.

The only factors of 71 are 1 and 71 itself.

Therefore, 71 is a PRIME number!