Is 83 Prime?
Check if 83 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 83 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 83 is prime, we need to verify that no number from 2 to √83 divides it evenly.
Step 2
Determine Testing Range
Since 83 is odd, we only need to check odd divisors.
We only need to test up to √83 ≈ 9.11, which rounds down to 9.
If 83 has a factor larger than √83, it must also have a corresponding factor smaller than √83.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 9
83 ÷ 3 = 27 remainder 2
83 ÷ 5 = 16 remainder 3
83 ÷ 7 = 11 remainder 6
83 ÷ 9 = 9 remainder 2
None of these numbers divide 83 evenly.
Step 4
Conclusion
83 has no divisors between 2 and 9.
The only factors of 83 are 1 and 83 itself.
Therefore, 83 is a PRIME number!