Name______Period______Date______

Virtual Manipulative: Factor Tree

Directions: Complete the following questions using the factoring tree manipulative at

First, when you get to the manipulative, select “One” tree and “User” at the bottom.

Example: In the selection box type in “12” and “enter”. In the next box type in a factor of 12 and type “enter”. Notice that as you type an accurate factor of you gets to the next level of the factor tree. Type in another factor of 12 and type “enter”. Notice that all the boxes are now yellow and the tips of each branch are circles. This means you have discovered all the factors of 12. They should be 2, 2 and 3.

  1. Select “New Problem”. In the selection box type “120”. Find all the factors for 120. Draw the factor tree.
  1. Find all the factors for 2310. Draw your factor tree.
  1. Findall the factors for 25. Draw the factor tree.
  1. How can you tell from your answer that 25 is a perfect square?
  1. Find all the factors for 27. Draw your factor tree.
  1. How can you tell from your answer that 27 is a perfect cube?
  1. Find all the factors for 32. Draw your factor tree.
  1. You can get 32 by raising 2 to what power exponent?

At the bottom select “Computer”.

  1. Solve 2 trees that the computer generates for you and draw the factor trees below:
  2. ____
  1. ____
  1. Find and record all the factors for 101. How can you tell that 101 is prime?
  1. Discover 3 other prime numbers higher than 100. Check to see if you are correct on the manipulative.

Now select “Two” trees and “User”at the bottom of the manipulative.

  1. Type in 12 in one box, 21 in the other. Find allthe factors for each number. Draw your factor tree below.Drag the common factors into the common section of the Venn diagram. Drag the factors common to each number to their respective parts of the Venn diagram. Once you have them all correct, copy your answers on the Venn diagram below.

GCF ( ____,____) = LCM (____,____) =

At the bottom select “Computer”.

  1. Let the computer select 2 trees. Draw the factor trees and determine the Greatest Common Factor and Least Common Denominator.

GCF ( ____,____) = LCM (____,____) =

GCF ( ____,____) = LCM (____,____) =

At the bottom select “User”.

  1. Discover 2 trees that have a common multiple of 7 and 2. Draw the factor trees.

GCF ( ____,____) = LCM (____,____) =

GCF ( ____,____) = LCM (____,____) =

  1. Discover 1 tree in which each number has common multiples of 3 and 5 and each has one multiple not in common. Draw the trees.

GCF ( ____,____) = LCM (____,____) =