Is 93 Prime?
Check if 93 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 93 is NOT 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 93 is prime, we need to verify that no number from 2 to √93 divides it evenly.
Step 2
Determine Testing Range
Since 93 is odd, we only need to check odd divisors.
We only need to test up to √93 ≈ 9.64, which rounds down to 9.
If 93 has a factor larger than √93, it must also have a corresponding factor smaller than √93.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 9
93 ÷ 3 = 31 (no remainder!)
We found that 3 divides 93 evenly!
Step 4
Conclusion
93 = 3 × 31
Since 93 has factors other than 1 and itself, 93 is NOT a prime number.