# Prime Factorization Calculator - Factor, Prime Check and Prime List

> Free online prime factorization: factor an integer with exponents, list every divisor and their sum, test primality with neighbouring primes, or list a range.

- URL: https://qilingtools.com/en/math/prime
- Category: Math Tools (https://qilingtools.com/en/math)
- Tags: [Math](https://qilingtools.com/en/tags/math), [Algorithms](https://qilingtools.com/en/tags/algorithm)
- Last updated: 2026-10-26
- Price: Free, no sign-up
- Privacy: Runs locally in the browser; files are never uploaded

Enter an integer and get its prime factorization (for example 360 = 2³ × 3² × 5), every divisor and the sum of the divisors. You can also test whether a number is prime, find the previous and next prime, or list all primes in a range.

## How to use

1. Choose factorization, prime check or prime list
2. Enter the integer, or the start and end of the range
3. Read the result and copy it in one click

## Features

- Factorization shown both as a product and with exponents
- Every divisor plus their sum
- Prime check with the previous and next prime
- Prime list for any range, ready to copy
- Wheel trial division keeps results instant up to 10^13

## FAQ

### What is prime factorization?

Writing an integer greater than 1 as a product of primes, e.g. 360 = 2×2×2×3×3×5 = 2³×3²×5. That factorization is unique.

### Is 1 a prime number?

No. A prime has exactly two positive divisors, 1 and itself; 1 has only one, so it is neither prime nor composite.

### How large a number can it factor?

Up to 10^13. Wheel trial division makes everyday numbers instant.

### How many primes can the list show?

Any range covering at most 20000 consecutive integers, and the whole list can be copied at once.

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