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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 mathematicians for mathematicians.
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Factorization Options
Get a full list of all prime divisors.
Get a list of non-repeated prime divisors.
Print numbers in standard canonical form.
Exponent Notation
Use a Unicode superscript symbol for factor powers.
Only relevant in the canonical representation.
Factors Separator
Separated prime factors with this character.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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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Perform the inverse operation on a look-and-say sequence.
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Create a list of Bell numbers.
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Create a list of Charmichel numbers.
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Create a list of composite numbers.
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Create a list of Euler's phi numbers.
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Create a list of juggler numbers.
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Create a list of lucky numbers.
Generate Motzkin Number Sequence
Create a list of motzkin numbers.
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Generate Pseudoperfect Number Sequence
Create a list of semiperfect numbers.
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Create a list of Ulam numbers.
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Create a list of weird numbers.
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Create a list of superperfect numbers.
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Create a list of Partition function numbers.
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Create an arithmetic sequence of numbers.
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Create a list of natural numbers.
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Create a list of numbers of powers of two.
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