Is 131 Prime?
Check if 131 is a prime number. A prime number is only divisible by 1 and itself.
Result:
✓ YES — 131 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 131 is prime, we need to verify that no number from 2 to √131 divides it evenly.
Step 2
Determine Testing Range
Since 131 is odd, we only need to check odd divisors.
We only need to test up to √131 ≈ 11.45, which rounds down to 11.
If 131 has a factor larger than √131, it must also have a corresponding factor smaller than √131.
Step 3
Test Odd Divisors
Testing: 3, 5, 7, ... up to 11
131 ÷ 3 = 43 remainder 2
131 ÷ 5 = 26 remainder 1
131 ÷ 7 = 18 remainder 5
131 ÷ 9 = 14 remainder 5
131 ÷ 11 = 11 remainder 10
None of these numbers divide 131 evenly.
Step 4
Conclusion
131 has no divisors between 2 and 11.
The only factors of 131 are 1 and 131 itself.
Therefore, 131 is a PRIME number!