Is 51 Prime?
Check if 51 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 51 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 51 is prime, we need to verify that no number from 2 to √51 divides it evenly.
Step 2
Determine Testing Range
Since 51 is odd, we only need to check odd divisors.
We only need to test up to √51 ≈ 7.14, which rounds down to 7.
If 51 has a factor larger than √51, it must also have a corresponding factor smaller than √51.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 7
51 ÷ 3 = 17 (no remainder!)
We found that 3 divides 51 evenly!
Step 4
Conclusion
51 = 3 × 17
Since 51 has factors other than 1 and itself, 51 is NOT a prime number.