pdf Prime Factorization - B

This worksheet provides structured practice with prime factorization using factor trees and exponential notation. Students break each composite number down into its prime factors, continuing the process until all branches end in prime numbers. Final answers must be written in exponential form, reinforcing recognition of repeated prime factors.

A fully modeled example guides students through the complete process: building a factor tree, identifying and circling prime numbers, arranging prime factors in numerical order, and condensing the product using exponents. Clear reminders help students avoid common mistakes, such as leaving composite numbers in their final answer.

The set includes a balanced mix of smaller numbers and larger composite values, giving students repeated exposure to factoring strategies while strengthening number sense. This resource builds a strong foundation for future work with greatest common factor, least common multiple, simplifying fractions, and algebraic factoring.

Skills Assessed

• Creating and completing factor trees

• Identifying prime and composite numbers

• Writing prime factorization in exponential notation

• Recognizing repeated prime factors

• Ordering prime factors correctly

• Strengthening multiplicative reasoning and number sense

Classroom Use

This worksheet works well as independent practice after introducing prime factorization, reinforcement during a number theory unit, or review before beginning GCF and LCM. It can also serve as a formative assessment to check students’ understanding of prime decomposition and exponential notation.

Details

• 4 pages

• Answer key included

ID# 0262