This virtual manipulative allows you to construct factor tree(s) of prime factors for one or two numbers, and then from the prime factorization of two numbers you are asked to identify the Least Common Multiple (LCM) and the Greatest Common Factor (GCF) of the two given numbers using a Venn Diagram.
Type of Material:
Reinforcement of prime factorization using a factor tree. Finding the greatest common factor and/or the least common multiple.
Identify Major Learning Goals:
To find the prime factors of one or two numbers. To find the greatest common factor and least common multiple of two given numbers using a Venn Diagram.
Target Student Population:
Grade School, Middle School, High School (basic math), College (developmental math and elementary teacher education)
Prerequisite Knowledge or Skills:
Identification of prime numbers and factors as well as an understanding of the definitions of least common multiple and greatest common factor.
Evaluation and Observation
This applet allows the user to find the prime factorization of either one or two numbers. If two numbers are used, the user can also find the greatest common factor and/or least common multiple of the two numbers. The user can let the computer give the number(s) to be factored, or the user can choose his/her own number(s).
Activities for the applet are tied to the NCTM standards.
This applet uses Venn Diagrams to show greatest common factors of two numbers or to find least common multiples. (Great problem solving tool.)
If the number itself or one is entered as a factor, Please enter a different number is revealed with no reason as to why a different number should be entered.
Potential Effectiveness as a Teaching Tool
The user is allowed to visually comprehend the meaning of the greatest common factor and the least common multiple.
If a composite factor is entered, rectangular boxes are shown around the factor whereas when prime factors are entered, circles are drawn. This allows the user to easily recognize prime and composite factors.
Since the student is allowed to enter his own numbers, this may allow him/her to complete assignments more easily.
If the entered greatest common factor or least common multiple is incorrect, no guidance is given to the user as to how to correct the mistake.
Ease of Use for Both Students and Faculty
This applet allows for computer-created or user-created problems.
Teacher Information provides teaching tips for presentation of content as well as use of this virtual manipulative.
This tool could be used by students to actually work on assigned problems by the teacher.