# Factor / Multiple / Greatest Common Factor / Least Common Multiple Unit

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Factors and multiples, common factors and common multiples, and Greatest Common Factor (GCF) and Least Common Multiple (LCM) .. these, along with the words that come with them – prime, composite, square, divisible by, etc. – are an integral part of fractions, algebra, and higher math courses such as number theory. This unit introduces all of these concepts in a way that provides meaning for the students and increases retention of these concepts and terminology. It not only addresses fourth and sixth grade standards on factors, multiples, common factors, common multiples, and prime and composite numbers, but also provides both real-world word problems that use common factors and multiples and a riddle card game (also sold as a separate product, Prime, Composite, Factor, Multiple Riddle Card Challenge!) that helps cement factor and multiple terminology in the minds of the students. In 45 pages of warm-up problems, guided notes, carefully orchestrated practice worksheets, detailed keys, and riddle cards, students are introduced to factor and multiple concepts in a way that they will not soon forget them!

The activities offered in this product are summarized below. The time required for this unit will vary depending upon the ability and experience level of the class and whether the teacher elects to use all or just some of the activities, but experience has shown this unit will take approximately one week to complete.

1. FACTORS – Includes a warm-up activity, a page of guided notes, and a one-page worksheet. These activities introduce the concept of factors via a real-world example, show students how to make “factor rainbows” to find all factor pairs for a given number, introduce some additional terminology like “prime”, “composite”, and “square”, and allow the students to practice these concepts on the worksheet. A great introduction to factors!

2. COMMON FACTORS AND GREATEST COMMON FACTOR – Includes a warm-up activity, a page of guided notes, and a two-page worksheet. These pages again introduce the concepts via a real-world usage of common factors and Greatest Common Factor (GCF). The teacher then uses the guided notes to walk the students through usage of factor rainbows to find common factors and GCF. Finally, the worksheet provides both computational and word problem practice of these concepts.

3. MULTIPLE / COMMON MULTIPLE / LEAST COMMON MULTIPLE – Includes a warm-up activity, a page of guided notes, and a two-page worksheet. As multiples are generally easier for students to understand and use, all three of these concepts are covered in one set of activities. The warm-up activity again uses a real world example, this time involving multiples and common multiples. The notes page not only allows the teacher to show the students, step by step, how to find multiples, common multiples, and Least Common Multiple (LCM), but also has a section containing tips and trips that emphasize the differences between multiples and factors. The worksheet again provides both computational and word problem practice of these concepts.

4. GCF/LCM WORD PROBLEMS – Includes a warm-up/notes activity and a two-page worksheet. In perhaps the most important part of this unit, students now apply the concepts learned to the real world. From a burgers-and-chips party to going out to lunch on simultaneous days off to running laps around a track, students obtain GCF’s and LCM’s to solve real world problems. The warm-up activity and notes are combined into a review of one sample word problem. The worksheet contains a myriad of word problems that present opportunities for the students to apply what they have learned in meaningful settings.

5. FACTOR/MULTIPLE/PRIME/COMPOSITE RIDDLE CARD CHALLENGE - As another opportunity for the students to apply what they have learned in a fun and engaging way, this riddle card game is included as the final activity in the unit. These 18 riddle cards repeatedly use 12 different words (“factor”, “multiple”, “prime”, “composite”, “product”, “odd”, etc.) that are typically used in factor and multiple discussions. After being introduced to this activity and going through a sample riddle card with the teacher, students are given the riddle cards to solve. This activity can be done with partners or individually and should be implemented as an exciting competition to round out the unit. Separate instructions for utilization of these riddle cards are provided prior to the riddle cards themselves.

Good luck in you use of Factor/Multiple GCF/LCM Unit.

Related Products:

As mentioned above, the Riddle Cards are also sold separately as Prime, Composite, Factor, Multiple Riddle Card Challenge!. If you are simply looking for a game to solidify factor-multiple-related terminology, you may want to purchase this product instead.

If you are interested in moving beyond factors and multiples to products that use them, feel free to check out either Fraction Multiplication and Division - Featuring Biff and Brandi's Big, Bad Brownies (multiplication and division of fractions) or Fraction Word Problems Demystified! – Five-Step Method, Notes, Worksheets (fraction word problems with all operations).

Also feel free to check out a growing number of other products that use poetry, songs, games, worksheets, and assessments to make math fun and help students to learn a variety of common core math standards.

Click here to view Riddle Card Products that Help Retain Math Essentials

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Copyright © Barry Schneiderman. This product is to be used by ONE teacher (the purchaser) for his or her classes only. Any reproduction of this material is limited to the purchaser for his or her classes. Beyond this usage, it may not be reproduced, republished, or copied in any way without written permission of the publisher. It may not be distributed to other teachers, a school department, a school, or a school district. This product may not be posted on any website, including but not limited to classroom websites, school websites, or district websites, without written permission of the publisher. Failure to follow the terms of usage represents a copyright violation per the Digital Millennium Copyright Act (DMCA). To receive written permission to copy or post this product beyond the terms of use, ask Barry Schneiderman a question on Teachers Pay Teachers.
Total Pages
45 pages
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Teaching Duration
1 Week
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\$5.00
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