Is 79 Prime?

Check if 79 is a prime number. A prime number is only divisible by 1 and itself.

Is prime?
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!