Is 117 Prime?
Check if 117 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 117 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 117 is prime, we need to verify that no number from 2 to √117 divides it evenly.
Step 2
Determine Testing Range
Since 117 is odd, we only need to check odd divisors.
We only need to test up to √117 ≈ 10.82, which rounds down to 10.
If 117 has a factor larger than √117, it must also have a corresponding factor smaller than √117.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 10
117 ÷ 3 = 39 (no remainder!)
We found that 3 divides 117 evenly!
Step 4
Conclusion
117 = 3 × 39
Since 117 has factors other than 1 and itself, 117 is NOT a prime number.