Is 69 Prime?
Check if 69 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 69 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 69 is prime, we need to verify that no number from 2 to √69 divides it evenly.
Step 2
Determine Testing Range
Since 69 is odd, we only need to check odd divisors.
We only need to test up to √69 ≈ 8.31, which rounds down to 8.
If 69 has a factor larger than √69, it must also have a corresponding factor smaller than √69.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 8
69 ÷ 3 = 23 (no remainder!)
We found that 3 divides 69 evenly!
Step 4
Conclusion
69 = 3 × 23
Since 69 has factors other than 1 and itself, 69 is NOT a prime number.