Is 41 Prime?
Check if 41 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 41 is 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 41 is prime, we need to verify that no number from 2 to √41 divides it evenly.
Step 2
Determine Testing Range
Since 41 is odd, we only need to check odd divisors.
We only need to test up to √41 ≈ 6.40, which rounds down to 6.
If 41 has a factor larger than √41, it must also have a corresponding factor smaller than √41.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 6
41 ÷ 3 = 13 remainder 2
41 ÷ 5 = 8 remainder 1
None of these numbers divide 41 evenly.
Step 4
Conclusion
41 has no divisors between 2 and 6.
The only factors of 41 are 1 and 41 itself.
Therefore, 41 is a PRIME number!