NUMBER THEORY

Prime Number Checker

Enter a positive integer to test whether it has exactly two factors: 1 and itself.

Supported range: 1 to 1,000,000,000,000.

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Your result will appear here.

A focused tool, with the details that matter.

Check whether a whole number is prime and see a factor when it is composite. Results include enough context to understand what was calculated, not just a number without explanation.

About this tool

What is a prime number?

A prime number is a whole number greater than 1 with no positive divisors other than 1 and itself.

Why is 1 not prime?

The number 1 has only one positive divisor, so it does not meet the definition requiring exactly two.

How does this checker work?

It tests small factors first, then checks possible divisors only up to the square root of the number.