Prime Factorization Tool

Prime factorization is a method of factoring a number in terms of prime numbers, i.e. finding a number's prime factors, so that these factors will equally divide the original number.

A natural number greater than 1 which is not a product of two smaller natural numbers is a prime number.

Ex: 2, 3, 5, 7, 11, 13, 17, …….

Prime factorization applies only for Composite numbers as they are made of more than two factors.

For Example:

Prime factorization of 40 is 2³ * 5.

Prime factorization of 80 is 2⁴ * 5.

Prime factorization of 150 is 2 * 3 * 5².

The logic behind Prime factorization is to divide the given number by prime factors until we get the remainder as equal to 1.

What is Prime Factorization Tool?

The prime factorization method is simple when we are dealing with small numbers. If the given number is too large then we can use the prime factorization tool.

Prime factorization tool makes the work of a student easier when dealing with large numbers to find the Prime factors.

Before using the prime factorization tool we have to find the prime number by using a prime factor finder.

Prime Factor Finder

The prime factor finder is used to find the prime factors of the number before the prime factorization process.

For example, if we want to find the Prime factorization of the number 256 the prime factor finder will first find the factors of these numbers i.e 2, 2, 2, 2, 2, 2 (2⁶) and this will be rendered to Prime factorization tool.

After receiving the Prime factors from the prime factor finder the prime factorization tool will read this data and will give the prime factorization of the given number.