Is 45 Prime?
Check if 45 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 45 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 45 is prime, we need to verify that no number from 2 to √45 divides it evenly.
Step 2
Determine Testing Range
Since 45 is odd, we only need to check odd divisors.
We only need to test up to √45 ≈ 6.71, which rounds down to 6.
If 45 has a factor larger than √45, it must also have a corresponding factor smaller than √45.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 6
45 ÷ 3 = 15 (no remainder!)
We found that 3 divides 45 evenly!
Step 4
Conclusion
45 = 3 × 15
Since 45 has factors other than 1 and itself, 45 is NOT a prime number.