Factor Game
Suggested Citation: PBS Mathline (2021). Factor Game. In K. Barnes (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/factor-game

Factor Game

Contributor(s):
  • Activity Description
  • Topics Covered
  • Session Styles
  • Mathematical Practices
A teacher challenges students to a game. The rules are explained as the game progresses. The player with the highest total wins! Students then play against each other. Afterwards, while analyzing the game, prime, composite, perfect, deficient, and abundant numbers are discovered and defined. Students again play the game using the strategies they determined. In a professional development video, teachers focus on the topic of number systems and number theory using a game setting to investigate the properties of prime, composite, abundant, deficient, and perfect numbers. This video can be used in conjunction with The Factor Game lesson plan.

Activity Guide

This guide looks at the activity in detail and goes into the underlying math.

Digital App

The Factor Game applet was adapted by NCTM with permission and guidance from "Prime Time: Factors and Multiples," Connected Mathematics Project, G. Lappan, J. Fey, W. Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications, (1996), pp. 1‑16.

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