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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.
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Factorization Format
Decompose numbers into the exponential form where exponents indicate the multiplicity of distinct prime factors.
Enumerate all prime factors, including repeating primes.
Enumerate only unique prime factors.
Multiplicity Format
Use mathematical notation instead of "^" symbol when displaying multiplicity.
It works only with the first factorization format – "Brief Factorization Format". (Because other formats don't display the multiplicity.)
Prime Factor Delimiter
Use this symbol to delimit prime divisors. (Comma by default.)
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
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