This factoring calculator helps you with computing the prime factorization for any given positive integer number. More details on prime factors you can read below.

## What is integer factoring?

Integer factoring or factorizing is the process of decomposition of an integer number into smaller divisors prime numbers, which when multiplied together equal the initial number.

## How to compute prime factorization?

In case you need to perform prime factorization the easiest way is by using our factoring calculator that transforms a positive integer number into a product of simpler prime factors.

Another way to find prime factors is by going through the steps presented in the next lines. Let’s take two numbers:

■ First let’s take 18 and try to explain which are the prime numbers that if multiplied equal 18:

a) Please remember that the best way to start is to use the smallest prime number, which is 2:

18 divided by 2 equals 9 which shows it divided evenly.

b) Further on we have to figure out how to make the decomposition of 9 because it is not a prime number. If we try to divide it by 2 that is not correct as it does not divide evenly. The next prime number you have to consider is 3.

9 divided by 3 equals 3 and so we can say that it divided evenly. Moreover please note that 3 is a prime number (actually is the one after 2) so the prime factorization is done. The result of the decomposition process is:

18 = 2 * 3 * 3

■ Second let’s take 135 and explain which are its prime numbers:

a) If we try dividing it by 2 we observe it is not the right move as it does not divide evenly. So the next option we take into account is by diving it by 3:

135 divided by 3 equals 45 and can be stated that divided evenly.

b) Let's process the decomposition of 45 because it is not a prime number. If we try to divide it by 2 that is not the right solution as it does not divide evenly. The next prime number you have to take into consideration is 3.

45 divided by 3 equals 15, which means it divided evenly.

c) Further on we have to see how to determine the prime number for 15 since it is not a prime number. If we divide it by 2 that is not correct because it does not divide evenly. Once again the next prime number you have to take into account is 3.

15 divided by 3 equals 5 (an integer number) and because 5 is a prime number the process of decomposition is done. The result of the decomposition is:

135 = 3 * 3 * 3* 5

Apart from this tool you may also be interested in our online scientific calculator.

01 Dec, 2014