Prime Factorization with a Factor Tree

As indicated by the Note returned by this application, a composite number could have multiple Factor Trees.  For example, in accordance with the tree-building procedure provided in the results, this application will return the following Factor Tree for 180:

However, the following Factor Tree also depicts the Prime Factorization of 180:

In addition to the related glossary terms and related applications, a few of the thousands of solutions that can be provided by this application are available for review.  Those available solutions include the Prime Factorization of all composite numbers from 1-100.  As a supplement, each available solution has a curated playlist of related videos.   

Among other applications, knowing how to find a composite number’s Prime Factorization is useful in finding Square Roots of large numbers and the Least Common Multiples of sets of large numbers.   Notably, Prime Factorization with a Factor Tree is not the only method to find the Prime Factorization of a Composite Number.  The Ladder Method is another method that is commonly used.  In fact, the tree-building procedure used by this application is adopted from the Ladder Method.

Prerequisite knowledge for finding the Prime Factorization of a composite number includes knowing how to find its factor pairs, and the factor pairs of the composite numbers that may flow from  the method used.  Inherent in knowing how to find the factor pairs of a number, is knowing the divisibility rules and a basic multiplication table.  Furthermore, knowing the first few prime numbers (2, 3, 5, 7, 11, …) is essential.  Relatedly, knowing how to determine if a number is prime (two factors or 1 factor pair: 1 and itself) is a must have skill.