Math
Prime Number Checker
Trial division with optimization. Shows prime factorization and full divisor list.
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Enter a positive integer to check
What does Prime Number Checker?
The prime checker verifies whether a given number is prime, and displays its prime factorization and full list of divisors.
How to use Prime Number Checker?
- Enter a positive integer in the input field.
- The tool checks divisibility up to √n (Trial Division).
- Results show: prime/not-prime badge, factorization and all divisors.
Key features
- Trial Division algorithm optimized up to √n
- Prime factorization with exponents (e.g. 360 = 2³ × 3² × 5)
- Full divisor list with count
Frequently asked questions
What is a prime number?
A prime number is a natural number greater than 1 with no divisors other than 1 and itself. Examples: 2, 3, 5, 7, 11.
Why is 1 not prime?
By definition, a prime must be greater than 1. The number 1 is neither prime nor composite — it is a special case.
Is this tool free?
Yes, this tool is completely free and requires no registration.
Is my data saved?
No. All calculations happen in your browser only — no data is sent to any server.