Is 33 Prime?
Check if 33 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 33 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 33 is prime, we need to verify that no number from 2 to √33 divides it evenly.
Step 2
Determine Testing Range
Since 33 is odd, we only need to check odd divisors.
We only need to test up to √33 ≈ 5.74, which rounds down to 5.
If 33 has a factor larger than √33, it must also have a corresponding factor smaller than √33.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 5
33 ÷ 3 = 11 (no remainder!)
We found that 3 divides 33 evenly!
Step 4
Conclusion
33 = 3 × 11
Since 33 has factors other than 1 and itself, 33 is NOT a prime number.