Is 61 Prime?

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

To check if 61 is prime, we need to verify that no number from 2 to √61 divides it evenly.

Since 61 is odd, we only need to check odd divisors.

We only need to test up to √61 ≈ 7.81, which rounds down to 7.

If 61 has a factor larger than √61, it must also have a corresponding factor smaller than √61.

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

None of these numbers divide 61 evenly.

61 has no divisors between 2 and 7.

The only factors of 61 are 1 and 61 itself.

Therefore, 61 is a PRIME number!