# Prime factors calculator

## World's simplest math tool

Free online integer prime factorizator. Just enter your number and it will automatically get decomposed into its prime factors. There are no ads, popups or nonsense, just an awesome prime decomposer. Enter an integer – get prime factors. Created by math nerds from team Browserling.

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Prime factors calculator tool
What is a prime factors calculator?

This tool finds all prime factors of the given integer. Prime factorization, also known as prime decomposition, is a process of finding prime divisors of a number. According to fundamental theorem of arithmetic, the product of all these prime numbers is equal to the number itself. With this tool you can choose between three different factorization modes – first one does a full factorization and returns a list of primes including repeated primes, the second one returns a list of only unique prime divisors, and the third one returns prime factors in canonical form. You can also find prime factors for several integers at once if you enter them one per line. And for your convenience we added an option that lets you customize the separator of calculated primes. Mathabulous!

Prime factors calculator examples
Click to use

Factorization of Number 600

This example decomposes integer 600 into prime factors. Multiplying all values together you'll get the number 600 back.

600

2, 2, 2, 3, 5, 5

**Required options**

Get a full list of all
prime divisors.

Separated prime factors with
this character.

Unique Prime Factors of Several Numbers

In this example we calculate unique prime divisors of eight numbers at once. We get the decomposition of each number on a new line and primes themselves are separated by a semicolon.

12
123
1234
12345
123456
1234567
12345678
123456789

2; 3
3; 41
2; 617
3; 5; 823
2; 3; 643
127; 9721
2; 3; 47; 14593
3; 3607; 3803

**Required options**

Get a list of non-repeated
prime divisors.

Separated prime factors with
this character.

Canonical Form

In this example we compute prime factors of two numbers and write them in standard form.

3125
5184

5^5
2^6 3^4

**Required options**

Print numbers in standard
canonical form.

Use a Unicode superscript
symbol for factor powers.

Separated prime factors with
this character.

Thirty Twos

This example finds prime decomposition of a very interesting number. All prime factors of this number are twos and there are thirty of them.

1073741824

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

**Required options**

Get a full list of all
prime divisors.

Separated prime factors with
this character.

Pro tips
Master online math tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinemathtools.com/find-prime-factors

__?input__=600&all-prime-factors=true&separator=%2C%20
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