Is 119 Prime?
Check if 119 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 119 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 119 is prime, we need to verify that no number from 2 to √119 divides it evenly.
Step 2
Determine Testing Range
Since 119 is odd, we only need to check odd divisors.
We only need to test up to √119 ≈ 10.91, which rounds down to 10.
If 119 has a factor larger than √119, it must also have a corresponding factor smaller than √119.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 10
119 ÷ 3 = 39 remainder 2
119 ÷ 5 = 23 remainder 4
119 ÷ 7 = 17 (no remainder!)
We found that 7 divides 119 evenly!
Step 4
Conclusion
119 = 7 × 17
Since 119 has factors other than 1 and itself, 119 is NOT a prime number.