Factors: Multiples, Factors, Composites and Primes Game

Rated 4.79 out of 5, based on 133 reviews
133 Ratings
Grade Levels
5th - 8th, Homeschool
Resource Type
Formats Included
  • Zip
2 pages


This fun Factors Game helps kids to more fully understand what prime factorization is all about. By systematically finding the factors of different numbers, kids will see the prime numbers magically appear. This game helps kids connect the meaning of prime numbers, composite numbers, greatest common factor, prime factorization, and least common multiple. There are many different types of strategies you can use to adapt the game. One strategy is to have one student do evens and another do odds.

Numbers like 60 that have a lot of factors will become more practiced in students' minds after playing this game. Another way to play the game is to use dimes or something that will cover the numbers and then seeing how many dimes end up on a square. In other words, how many times will the number "3" be a factor for the different numbers in this chart. You can also tie the rules of divisibility to this game so that students can think about whether numbers such as 2, 3, or 5 are factors of a specific number.

If you have a lot of different students you can assign them each a number from the game and once they play they can decide whether their assigned number makes them a "prime" or "composite." Challenge students to see if there are rows and columns they can dismiss as composites by using the divisibility rules.

When using this game in a traditional classroom setting, you can connect the different methods for finding prime factorization, such as factor trees, to the factors on the game board.

In addition to giving students ample time to practice factorization, this game allows them to use problem-solving strategies and patterns to beat their opponents. Students learn about prime factorization and have fun at the same time!

The Factors Game Meets Common Core Mathematical Standard

6.NS.4 - Compute fluently with multi-digit numbers and find common factors and multiples.

Common Core Standards for Mathematical Practice

1. Make sense of problems and persevere in solving them.

7. Look for and make use of structure.


This math game is also included in my BEST SELLING bundle 42 Middle School Math Games, I encourage you to also add it to your teaching tool kit!!! (These 42 math games are specifically designed for students in the 5th-8th grade!!! )

  • "This is a great resource. I was able to find games that supported both my 7th and 8th grade math classes!" -- Emily Barnett
  • "This was a great resource to use with my students in small groups. They love the games and do not realize we are practicing math skills." -- Andrea Z.
  • "As the sole teacher for middle school math (during one class period!) this resource was a great way for kids to practice skills and remain engaged with minimal teacher effort." -- Melissa Endicott
  • "How did I every teach without these! Thanks for creating games that make my students smile when they practice their math skills." -- DONDRA P.
  • "Really fantastic! While it is true that some of the games required the use of a chalkboard, my students were able to use individual dry erase boards. I have not yet used every game, but the games I did use encouraged my students and strengthened their skills. Thank you!" -- Laurie R.
  • "I use these quite often. I took file folders and taped the directions to the front. I put copies of any score sheets or playing boards in each folder. When I introduce a new concept, I go to my folders and look for a game that matches. Games are easy to use and my fifth graders enjoy playing. Thank you!" -- Daydreaming In Class
  • "What an exciting resource!! I wasn't sure about it, but it looked promising. And boy was it EVER!! Love this resource." -- Anna Gray
  • "The variety of the games is was drew me to making the purchase.I have taught 6-8 math and was able to find games that I could use in any of the levels." -- Ashley Washingto
  • "Very worthwhile material that supplemented my other resources for Math activities that kept students with a range of abilities fully engaged." -- Russel M.
  • "This was easy to use, fun, and my students walked away from it feeling more confident in their understanding." -- Katie L.

You can get all 42 Printable Math Games for Middle School & Upper Elementary Students File Folder Math Games Books HERE


Total Pages
2 pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).


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