# Prime factors calculator

## World's simplest number tool

Quickly find prime factors of a number in your browser. To get your prime factorization, just specify the number you want to decompose and select the factorization format in the options below, and this utility will find all primes that divide this number. Created by developers for developers.

announcement
a new project!

Super exciting news! We just launched TECHURLS – simple and fun tech news reader. Check it out!

*fullscreen*

*fullscreen_exit*

A link to this tool, including input, options and all chained tools.

Can't convert.

Prime factors calculator tool
What is a prime factors calculator?

This is an online browser-based utility for finding prime divisors of one or more numbers. The process of breaking a number into a product of primes is called prime factorization or prime decomposition. According to the fundamental theorem of arithmetic, such decomposition is unique for every integer greater than one. You can output factors of your number in three different formats. The first is called brief factorization or canonical decomposition because it takes the least space in output as exponent notation is used to show the multiplicity of prime factors. The second is called detailed factorization and it writes divisors in increasing order, including duplicate prime factors. The third is called no repetition factorization and displays each prime only once. If you need to decompose several numbers at once, you can simply enter each of them on a new line. In this case, their factors will appear on the same line in the output. All prime factors can be delimited by any character that you want, which you can set in the output. That's numberwang!

Prime factors calculator examples
Click to use

Canonical Number Factorization

In this example, we factorize the number 9000 into prime factors and use the power form to show how many times each divisor appears. We apply the prettify-powers function to bring powers of numbers in the superscript.

9000

2³, 3², 5³

**Required options**

Decompose numbers into the exponential
form where exponents indicate the
multiplicity of distinct prime factors.

Use mathematical notation
instead of "^" symbol when
displaying multiplicity.

Use this symbol to delimit
prime divisors.
(Comma by default.)

Detailed Factorization Format

In this example, we decompose two numbers separately into a product of prime factors. The first number has several repeating divisors, which are all displayed in increasing order. The second number is a product of the first 6 primes. Each decomposition appears opposite to the number and uses the split-symbol "x" to represent the product symbol.

8820
30030

2 x 2 x 3 x 3 x 5 x 7 x 7
2 x 3 x 5 x 7 x 11 x 13

**Required options**

Enumerate all prime factors,
including repeating primes.

Use this symbol to delimit
prime divisors.
(Comma by default.)

Factors Without Repetition

This example uses no-repetitions output format and displays each prime number divisor only once. It decomposes nine numbers at once and uses the semicolon character to separate individual prime factors.

1111
2222
3333
4444
5555
6666
7777
8888
9999

11; 101
2; 11; 101
3; 11; 101
2; 11; 101
5; 11; 101
2; 3; 11; 101
7; 11; 101
2; 11; 101
3; 11; 101

**Required options**

Enumerate only unique prime factors.

Use this symbol to delimit
prime divisors.
(Comma by default.)

Pro tips
Master online number 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://onlinenumbertools.com/calculate-prime-factors

__?input__=9000&canonical-form=true&separator=%2C%20&prettify-powers=true
All number tools

Quickly create a list of numbers in arithmetic series.

Quickly create a list of numbers in geometric series.

Quickly calculate the coefficients of the binomial expansion.

Quickly create a list of random numbers.

Quickly create a list of random primes from a specific interval.

Quickly create a matrix with random numbers as its elements.

Quickly create a random row or column vector.

Quickly exchange rows and columns of a matrix.

Quickly find the determinant of any square matrix.

Quickly calculate any number of digits of number π.

Quickly generate the specified number of Euler constant's digits.

Quickly generate numbers of say what you see sequence.

Quickly calculate numbers of Fibonacci sequence.

Quickly create a sequence of prime numbers.

Quickly check if the given number is a prime.

Quickly compute all prime factors of a number.

Quickly compute all divisors of a number.

Quickly create a list of increasing or decreasing integers.

Quickly create a sequence of even numbers.

Quickly create a sequence of odd numbers.

Quickly choose one or more numbers from a list of numbers.

Quickly sort numbers in ascending or descending order.

Quickly filter numbers according to certain criteria.

Quickly add up all the numbers in the given list and find their sum.

Coming soon
These number tools are on the way

Generate Natural Numbers

Create a list of natural numbers.

Generate Rational Numbers

Create a list of rational numbers.

Generate Real Numbers

Create a sequence of real numbers.

Generate Complex Numbers

Create a list of complex numbers.

Generate Binary Numbers

Create a sequence of binary numbers.

Generate Powers of 2

Create a list of numbers that are powers of two.

Generate Powers of 10

Create a list of numbers that are powers of ten.

Generate Pairs of Numbers

Create a sequence of number pairs.

Create a Floating Point Number

Create a fp from the significand, base and exponent.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!