Calculator Use

Prime Factorization Calculator is a free online tool that displays the result of Prime Factorization. This online Prime Factorization Calculator tool performs the calculation faster, and it displays the result in a fraction of seconds.

The procedure to use the Prime Factorization Calculator is as follows:

Step 1: Enter a values in the input field

Step 2: Now click the "Calculate" button to get the result

Step 3: Finally, The result of Prime Factorization will be displayed in the output field

What is Prime Factorization Calculator?

This prime factorization calculator can work out all prime factors of a given integer number up to 10 Crores (100000000).

What is Prime Factorization?

Prime factorization or integer factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. This is also known as prime decomposition.

How to calculate Prime Factorization of a Number?

The most commonly used prime factorization methods are:

1.Division Method

2.Factor Tree Method

Division Method

The steps to calculate the prime factors of a number is similar to the process of finding the factors of a large number. Follow the below steps to find the prime factors of a number using the division method:

Step 1: Divide the given number by the smallest prime number. In this case, the smallest prime number should divide the number exactly.

Step 2: Again, divide the quotient by the smallest prime number.

Step 3: Repeat the process, until the quotient becomes 1.

Step 4: Finally, multiply all the prime factors

Example of Division Method for Prime Factorization:

Below is a detailed step-by-step process of prime factorization by taking 860 as an example.

Step 1: Divide 460 by the least prime number i.e. 2.

So, 860 ÷ 2 = 430

Step 2: Again Divide 230 with the least prime number (which is again 2).

Now, 430 ÷ 2 = 215

Step 3: Divide again with the least prime number which will be 5.

So, 215 ÷ 5 = 43

Step 4: As 43 is a prime number, divide it with itself to get 1.

Now, the prime factors of 860 will be 2 x 2 x 5 x 43

Factor Tree Method

To find the prime factorization of the given number using factor tree method, follow the below steps:

Step 1: Consider the given number as the root of the tree

Step 2: Write down the pair of factors as the branches of a tree

Step 3: Again factorize the composite factors, and write down the factors pairs as the branches

Step 4: Repeat the step, until to find the prime factors of all the composite factors