# Prime Factorizations  URL:: https://brilliant.org/courses/pre-algebra/factoring-2/primes/5/ Author:: brilliant.org ## Highlights > A **factorization** of a quantity is a way of expressing it as a product, with any number of factors. ([View Highlight](https://read.readwise.io/read/01gmqctf4kyeca55zz91ds446c)) > Every composite number has exactly one prime factorization. This is known as the **unique factorization theorem**. > Also, no two whole numbers have identical prime factorizations. Feel free to check us on that! ([View Highlight](https://read.readwise.io/read/01gbr7ytmvnp5m9wjzk20vmhq0)) --- Title: Prime Factorizations Author: brilliant.org Tags: readwise, articles date: 2024-01-30 --- # Prime Factorizations  URL:: https://brilliant.org/courses/pre-algebra/factoring-2/primes/5/ Author:: brilliant.org ## AI-Generated Summary Once we've factored every composite value in the tree, the values in the circles that have no arrows leading into them are a prime factorization of 32. ## Highlights > A **factorization** of a quantity is a way of expressing it as a product, with any number of factors. ([View Highlight](https://read.readwise.io/read/01gmqctf4kyeca55zz91ds446c)) > Every composite number has exactly one prime factorization. This is known as the **unique factorization theorem**. > Also, no two whole numbers have identical prime factorizations. Feel free to check us on that! ([View Highlight](https://read.readwise.io/read/01gbr7ytmvnp5m9wjzk20vmhq0))