Finding Prime Factors Using Factor Trees

Miacademy & MiaPrep Learning Channel

This educational math video provides a clear and visual introduction to the concept of prime factorization using factor trees. The host begins by defining prime numbers and distinguishing them from composite numbers through simple examples like 3 and 6. The video demonstrates how to break down non-prime numbers into their fundamental prime building blocks using branching diagrams known as factor trees. The content covers key topics including the definition of prime numbers, how to construct factor trees, and the specific process of finding the prime factorization for various numbers like 12, 21, 33, and 48. A significant portion of the video is dedicated to showing that regardless of which factors you start with (e.g., starting 12 with 3x4 or 2x6), the final list of prime numbers remains the same. For educators, this video serves as an excellent instructional tool for upper elementary and middle school mathematics. It visually models the algorithm for finding prime factors, making an abstract concept concrete. The comparison between different starting points for the number 12 is particularly valuable for addressing student anxiety about "starting the wrong way," and the clear distinction made between general factorization and prime factorization helps clarify common terminology confusion.