Is 43 Prime?
Check if 43 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 43 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 43 is prime, we need to verify that no number from 2 to √43 divides it evenly.
Step 2
Determine Testing Range
Since 43 is odd, we only need to check odd divisors.
We only need to test up to √43 ≈ 6.56, which rounds down to 6.
If 43 has a factor larger than √43, it must also have a corresponding factor smaller than √43.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 6
43 ÷ 3 = 14 remainder 1
43 ÷ 5 = 8 remainder 3
None of these numbers divide 43 evenly.
Step 4
Conclusion
43 has no divisors between 2 and 6.
The only factors of 43 are 1 and 43 itself.
Therefore, 43 is a PRIME number!