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Number Systems and Number Theory: Factor Game

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Number Systems and Number Theory: Factor Game

In this math lesson, learners play a game to identify the properties of prime, composite, abundant, deficient and perfect numbers. Learners use a game board comprised of the numbers from 1 to 30 placed in a 5 by 6 grid.

Quick Guide

Preparation Time:
Under 5 minutes

Learning Time:
45 to 60 minutes

Estimated Materials Cost:
1 cent - $1 per group of students

Age Range:
Ages 11 - 14

Resource Types:
Activity, Game, Lesson/Lesson Plan



  • Mathematics
    • Data Analysis and Probability
      • Data Analysis
    • Number and Operations
      • Multiples and Factors
      • Number Systems
      • Operations
    • Problem Solving

Informal Categories

  • Games


To use this activity, learners need to:

  • see
  • see color
  • read
  • touch

Learning styles supported:

  • Involves hands-on or lab activities


Common Core State Standards for Mathematics:

  • CCSS.Math.Content.3.OA.C.7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.(more info about this benchmark)
  • CCSS.Math.Content.4.OA.B.4: Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.(more info about this benchmark)

This resource is part of:

Access Rights:

  • Free access



  • All Rights Reserved, PBS, ©2012

Funding Source:

  • US Department of Education


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