Is 29 Prime?
Check if 29 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 29 is 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 29 is prime, we need to verify that no number from 2 to √29 divides it evenly.
Step 2
Determine Testing Range
Since 29 is odd, we only need to check odd divisors.
We only need to test up to √29 ≈ 5.39, which rounds down to 5.
If 29 has a factor larger than √29, it must also have a corresponding factor smaller than √29.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 5
29 ÷ 3 = 9 remainder 2
29 ÷ 5 = 5 remainder 4
None of these numbers divide 29 evenly.
Step 4
Conclusion
29 has no divisors between 2 and 5.
The only factors of 29 are 1 and 29 itself.
Therefore, 29 is a PRIME number!