Prime Factorization Calculator

Welcome to our Prime Factorization Calculator page.

This calculator will convert a number into its unique product of prime factors.

You can also use the calculator for finding all the factors of any given number.

Prime Factorization Calculator - How to use it

Input any number values into our Prime Factorization Calculator and it will find quickly find all of the factors and then re-write the number as a unique product of its prime factors.

It will also show you what the number looks like in exponential form.

Note: prime numbers cannot be written as a product of prime factors as their only factors are 1 and themselves (and 1 is not prime!).

Prime Factorization Calculator



What is Prime Factorization?

Prime factorization is when we split up a number into a product of its prime factors.

Every number (except prime numbers) has its own unique set of prime factors.

How is Prime Factorization useful?

Prime factorization can be useful when working out the least common multiple, or the greatest common factor.

Prime factorization is also used in cryptography (the art of writing and solving codes) to encrypt or decrypt messages.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Greatest Common Factor Calculator

Our Greatest Common Factor calculator will tell you the highest common factor between 2 or more numbers.

It will also list the factors of each of the numbers and tell you whether they are coprime or not.

Least Common Multiple Calculator

Our Least Common Multiple Calculator will find the lowest common multiple of 2 or more numbers.

It will also show you the working out using a choice of two different methods.

There are also some worked examples.

Prime Factorization Worksheets

We have a collection of factor tree and prime factorization worksheets for students aged 6th grade and upwards.

Using factor trees is a great visual way of finding all the prime factors of a number.

We also have some problem solving, riddles and challenges on our Prime Factorization Worksheets page.

Multiples and Factors Worksheets

These sheets are all about finding multiples and factors of different numbers.

They are a great way to introduce multiples and factors and to practice this skill.

Sieve of Erastosthenes

The Sieve of Erastosthenes is a method for finding what is a prime numbers between 2 and any given number.

Eratosthenes was a Greek mathematician (as well as being a poet, an astronomer and musician) who lived from about 276BC to 194BC.

If you want to find out more about his sieve for finding primes, and print out some Sieve of Eratosthenes worksheets, use the link below.

Want to find out more about primes?

Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not.

There are also many different questions about prime numbers answered, as well as information about the density of primes.

Looking for more math calculators?

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!


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How to Print or Save these sheets

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Need help with printing or saving?
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We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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