Prime Factorization

Enter the number you want to factorize and click "Calculate".

Prime factorization - what is it?

Prime factorization is the representation of a number as the product of the multiplication of prime numbers, which are then called prime factors. This representation is unique, except for the order of the prime factors.


To perform a prime factorization, one simply tests by which prime numbers the number to be decomposed can be divided without remainder. If the number can be divided by a prime number without remainder, you can continue calculating with the result until you have a prime number as a result.

You start with two as the first prime number by which you divide. If the result is neither a prime number nor divisible by 2 without remainder, you take the next higher prime number - in this case three. This is repeated until the result is a prime number.

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