Is 63 Prime?

Check if 63 is a prime number. A prime number is only divisible by 1 and itself.

Result: ✗ NO — 63 is NOT 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 63 is prime, we need to verify that no number from 2 to √63 divides it evenly.

Step 2 Determine Testing Range

Since 63 is odd, we only need to check odd divisors.

We only need to test up to √63 ≈ 7.94, which rounds down to 7.

If 63 has a factor larger than √63, it must also have a corresponding factor smaller than √63.

Step 3 Test Odd Divisors

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

63 ÷ 3 = 21 (no remainder!)

We found that 3 divides 63 evenly!

Step 4 Conclusion

63 = 3 × 21

Since 63 has factors other than 1 and itself, 63 is NOT a prime number.