Prime Factorization Grid

Worksheet Description

This worksheet is designed for the practice of prime factorization, where students are provided with a list of composite numbers and their incomplete prime factorizations. The task is to fill in the missing prime numbers to complete each factorization. Each factorization is presented in exponential form on one side and in expanded form on the other, allowing students to see the relationship between the two representations.

The worksheet aims to teach students how to express composite numbers as the product of prime factors, both in expanded and exponential forms. It helps students practice their multiplication and division skills while deepening their understanding of the structure of numbers. The dual representation of prime factors reinforces the concept of powers and exponents. This foundational skill is critical for various areas of mathematics, including simplifying algebraic expressions, finding greatest common divisors, and working with least common multiples.