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The Modern Montessori Guide

Investigating Multiples, Multiples and Factors Practice Cards, & Bead Bars

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Multiples Investigation

The introduction and investigation of multiples provides a wonderful foundation for the understanding and internalization of number sense and number theory.

These charts can be used either as part of the initial presentation of the concept and language of multiples alongside the colored bead bars of the decanomial box, or they could be used as a review activity.

In this set you will find:

-Pg. 1-4: Introductory Lesson Suggestions

-Pg. 5-9: Investigation of Multiples tables for numbers 2-10

-Pg. 10: Blank Investigation of Multiples tables for additional investigations

-Pg. 11: Blank Investigation of Common Multiples tables

Multiples and Factors Practice Cards

These cards are made to be used as a follow-up to the introductory multiples and factors lessons. This material contains task cards covering multiple skills including:

  • Cards 1-14: Identifying the First Five Multiples of a Given Number
  • Cards 15-24: Identifying Four Consecutive Multiples
  • Cards 25-40: Determining if a Number is a Multiple of a Given Number and Supporting their Choice with Reasoning
  • Cards 41-56: Filling in the Missing Factor in a Given Factor Tree
  • Cards 57-72: Identifying All Factors of a Number and Qualifying them as Prime or Composite
  • Cards 73-88: Create Prime Factor Trees and Identify All Prime Factors of a Number
  • Cards 89-104: Identifying the Lowest Common Multiple of Two Numbers
  • Cards 105-120: Combining Knowledge of Factors and Multiples

Each of the cards come with corresponding answer keys. These could either be printed separately, laminated, and grouped together on a ring for easy checking.

Montessori Decanomial Bead Bars

This printable material is meant to mimic the Montessori Decanomial Bead Bars (1-10). To use, print on cardstock, cut out the individual bead bars on the dotted lines and laminate if possible. Keep each numeral family separated. This could be done using bags, boxes, or small jars.


This activity is meant to help guide the child to a concrete understanding of prime vs. composite numbers while instilling the concept of factors.