Is 97 Prime?
Check if 97 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 97 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 97 is prime, we need to verify that no number from 2 to √97 divides it evenly.
Step 2
Determine Testing Range
Since 97 is odd, we only need to check odd divisors.
We only need to test up to √97 ≈ 9.85, which rounds down to 9.
If 97 has a factor larger than √97, it must also have a corresponding factor smaller than √97.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 9
97 ÷ 3 = 32 remainder 1
97 ÷ 5 = 19 remainder 2
97 ÷ 7 = 13 remainder 6
97 ÷ 9 = 10 remainder 7
None of these numbers divide 97 evenly.
Step 4
Conclusion
97 has no divisors between 2 and 9.
The only factors of 97 are 1 and 97 itself.
Therefore, 97 is a PRIME number!