Factor Notation

Worksheet Description

This worksheet is a prime factorization activity designed to help students learn how to break down composite numbers into their prime factors. It features a list of numbers, each above a prime factor tree diagram, where students are expected to fill in the circles with factors that multiply together to give the original number. The first number, 24, is completely factored as an example, with the tree diagram filled out and the prime factorization written out as 2 x 2 x 2 x 3. The worksheet continues with more numbers for students to factor on their own, using the prime factor tree diagrams provided.

The aim of the worksheet is to teach students the method of prime factorization, which is the process of finding which prime numbers multiply together to create the original number. The provided example serves as a guide on how to complete the trees. By completing this exercise, students learn to identify prime numbers and understand the concept that every number is composed of a unique combination of prime numbers. This foundational skill in mathematics is crucial for understanding more complex topics such as finding the greatest common divisor, least common multiple, and simplifying algebraic expressions.