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.

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 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.

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.

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

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.

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.

We have a collection of factor tree 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.

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.

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.

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.

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!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Return to Calculators Hub page

Return from Prime Factorization Calculator to Math Salamanders Homepage

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

Do you know how old you are...in weeks? days? hours?

Are you more than a million minutes old?

Find out how old you are to the nearest second!

We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!

Take a look and try them out!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- Reverse Percentage Calculator
- List of Geometric Shapes
- Equivalent Fractions
- 3d Geometric Shapes
- Perimeter Worksheets

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for a fun and motivating way to learn and practice math skills?

Why not try one of our free printable math games with your students!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.