Grade levels 

Factorization Forest – A Prime Factorization Game

How To Play Video

Related Games/Activities

* Great American Multiplication Challenge
* Envision Division


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Play on your iPad or Tablet (free)

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Based on This Game:

Print out Lesson Plan

Practice using Picture-based Math (online)

  * Factorization Forest
  * Prime Factorization Machine

Practice using standardized test simulation

  * Exponents (squares and cubes)
  * What power?
  * Prime Factorization
  * Greatest Common Factor
  * Factors of Numbers
  * Least Common Multiples
  * Standard Notation
Print Worksheet (s)
  * Factorization Forest 1
  * Factorization Forest 2
Common Core Alignment
Age Appropriateness/Rationale

Factorization Forest Common Core Alignment

Age Appropriateness/Rationale

Factorization Forest is a game in which students can practice their prime factorization skills. Students can choose to build a forest without a timer using their prime factorization skills, or, can play a game in which they try to populate a river valley with as many trees as possible in three minutes using their prime factorization skills.To play, choose the game type and select the type of tree you would like to grow. Then, turn your attention to the number that appears at the top of the screen. This will be the number you will “factorize”. Click the ” + ” button to begin building your factor tree. Continue clicking the ” + ” buttons that appear until your are left with only prime numbers. Then, count of the prime numbers to form your factorization. To type in your factorization, find the space toward the bottom of the screen in which you can enter a number and use the ” + ” to enter other numbers. Use the dotted lines positioned to the upper right of each number to specify exponents. When you are satisfied with your factorization, click the ” ? ” button. If you are correct, you will see your tree grow. If you are playing the create a forest version of the game, you can move your tree to any place on the picture. If you are playing the timed version, the tree will remain in a fixed position.

Factorization Forest is perfect for kids ages 9-12, Grade Levels: 4.2 – 5.5 (apx.)

Scoring Breakdown and Grade Level Equivalency

Trees formed Grade Level Equivalency (+ , and -)
3 4.2
4 4.6
5 5.0
6 + 5.4 (mastery)


Skills Reinforced:

Prime Factorization
Prime and Composite Numbers
Multiplication an Division


When students finish Factorization Forest, they can print out a certificate similar to the example below: