Prime Factorization Calculator

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.

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 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.

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!

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.