Prime Factor Trees

Jeffrey·

Mathematics

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At a Glance

SubjectMathematics

Original Prompt

Create a two page worksheet for Grade 6 students that focuses on: B2.6 represent composite numbers as a product of their prime factors, including through the use of factor trees

This document focuses on prime factorization using factor trees, aiming to help learners represent any composite number as a product of prime factors. It begins by defining prime numbers—numbers with exactly two factors (1 and itself),—as well as composite numbers, which have more than two factors. The document includes a worked example, illustrating how to create a factor tree for the number 36, with step-by-step instructions on finding factors and identifying primes. Additionally, it offers guided practice for students to collaboratively complete factor trees for the numbers 24 and 18, followed by independent practice where students are tasked with deriving the prime factorization of various composite numbers including 18, 24, 45, 56, 72, and 84. A challenge problem encourages critical thinking, while self-assessment and an exit ticket prompt reflection on the learning process.