Is 49 Prime?
Check if 49 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 49 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 49 is prime, we need to verify that no number from 2 to √49 divides it evenly.
Step 2
Determine Testing Range
Since 49 is odd, we only need to check odd divisors.
We only need to test up to √49 ≈ 7.00, which rounds down to 7.
If 49 has a factor larger than √49, it must also have a corresponding factor smaller than √49.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 7
49 ÷ 3 = 16 remainder 1
49 ÷ 5 = 9 remainder 4
49 ÷ 7 = 7 (no remainder!)
We found that 7 divides 49 evenly!
Step 4
Conclusion
49 = 7 × 7
Since 49 has factors other than 1 and itself, 49 is NOT a prime number.