Is 7 Prime?

Check if 7 is a prime number. A prime number is only divisible by 1 and itself.

Result: ✓ YES — 7 is a prime number

Step-by-Step Solution

Step 1 What is a Prime Number?

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

To check if 7 is prime, we need to verify that no number from 2 to √7 divides it evenly.

Step 2 Determine Testing Range

Since 7 is odd, we only need to check odd divisors.

We only need to test up to √7 ≈ 2.65, which rounds down to 2.

If 7 has a factor larger than √7, it must also have a corresponding factor smaller than √7.

Step 3 Test Odd Divisors

Testing: 3, 5, 7, ... up to 2

None of these numbers divide 7 evenly.

Step 4 Conclusion

7 has no divisors between 2 and 2.

The only factors of 7 are 1 and 7 itself.

Therefore, 7 is a PRIME number!