Is 35 Prime?
Check if 35 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✗ NO — 35 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 35 is prime, we need to verify that no number from 2 to √35 divides it evenly.
Step 2
Determine Testing Range
Since 35 is odd, we only need to check odd divisors.
We only need to test up to √35 ≈ 5.92, which rounds down to 5.
If 35 has a factor larger than √35, it must also have a corresponding factor smaller than √35.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 5
35 ÷ 3 = 11 remainder 2
35 ÷ 5 = 7 (no remainder!)
We found that 5 divides 35 evenly!
Step 4
Conclusion
35 = 5 × 7
Since 35 has factors other than 1 and itself, 35 is NOT a prime number.