Is 39 Prime?
Check if 39 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 39 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 39 is prime, we need to verify that no number from 2 to √39 divides it evenly.
Step 2
Determine Testing Range
Since 39 is odd, we only need to check odd divisors.
We only need to test up to √39 ≈ 6.24, which rounds down to 6.
If 39 has a factor larger than √39, it must also have a corresponding factor smaller than √39.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 6
39 ÷ 3 = 13 (no remainder!)
We found that 3 divides 39 evenly!
Step 4
Conclusion
39 = 3 × 13
Since 39 has factors other than 1 and itself, 39 is NOT a prime number.