Is 79 Prime?
Check if 79 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 79 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 79 is prime, we need to verify that no number from 2 to √79 divides it evenly.
Step 2
Determine Testing Range
Since 79 is odd, we only need to check odd divisors.
We only need to test up to √79 ≈ 8.89, which rounds down to 8.
If 79 has a factor larger than √79, it must also have a corresponding factor smaller than √79.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 8
79 ÷ 3 = 26 remainder 1
79 ÷ 5 = 15 remainder 4
79 ÷ 7 = 11 remainder 2
None of these numbers divide 79 evenly.
Step 4
Conclusion
79 has no divisors between 2 and 8.
The only factors of 79 are 1 and 79 itself.
Therefore, 79 is a PRIME number!