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.


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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 | 0 comments

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