Factors and Multiples Puzzle

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This puzzle provides an interesting context which challenges learners to apply their knowledge of the properties of numbers. Learners need to work with various types of numbers at the same time and consider their relationships to each other (e.g. primes, squares and specific sets of multiples).

Quick Guide

Preparation Time:
Under 5 minutes

Learning Time:
5 to 10 minutes

Estimated Materials Cost:
1 cent - $1 per student

Age Range:
Ages 11 - 14

Resource Types:
Activity, Game


Materials List (per student)


  • Mathematics
    • Number and Operations
      • Multiples and Factors
      • Number Systems
    • Reasoning and Proof
  • The Nature of Technology
    • The Design Process
      • Problem Solving

Informal Categories

  • Games


To use this activity, learners need to:

  • see
  • read
  • touch

Learning styles supported:

  • Involves hands-on or lab activities


Components that are part of this resource:

Access Rights:

  • Free access



  • All rights reserved, University of Cambridge, 2007