Is 111 Prime?
Check if 111 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 111 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 111 is prime, we need to verify that no number from 2 to √111 divides it evenly.
Step 2
Determine Testing Range
Since 111 is odd, we only need to check odd divisors.
We only need to test up to √111 ≈ 10.54, which rounds down to 10.
If 111 has a factor larger than √111, it must also have a corresponding factor smaller than √111.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 10
111 ÷ 3 = 37 (no remainder!)
We found that 3 divides 111 evenly!
Step 4
Conclusion
111 = 3 × 37
Since 111 has factors other than 1 and itself, 111 is NOT a prime number.