Is 135 Prime?
Check if 135 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 135 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 135 is prime, we need to verify that no number from 2 to √135 divides it evenly.
Step 2
Determine Testing Range
Since 135 is odd, we only need to check odd divisors.
We only need to test up to √135 ≈ 11.62, which rounds down to 11.
If 135 has a factor larger than √135, it must also have a corresponding factor smaller than √135.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 11
135 ÷ 3 = 45 (no remainder!)
We found that 3 divides 135 evenly!
Step 4
Conclusion
135 = 3 × 45
Since 135 has factors other than 1 and itself, 135 is NOT a prime number.