Venn Diagrams - 2 Numbers - Populated Venn without Unique to Distinct Factors (Level 3)

This math topic focuses on using Venn diagrams to practice factoring. Specifically, it helps learners understand how to find the set of all distinct factors of two numbers using populated Venn diagrams. The diagrams are used without including unique factors distinct to each number. Learners complete the factor diagrams for each question and identify all the distinct factors from provided options. This exercise is part of an introduction to factoring and Venn factor diagrams.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Unique to Distinct Factors Worksheet

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Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Unique...
1
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{2, 2, 2, 2}
b
{2, 3, 2, 2, 3}
c
{2, 7, 2, 2, 2}
d
{2, 3, 2, 2, 7}
e
{2, 3, 2, 2, 2}
f
{2, 3, 2, 2}
2
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{3, 3, 7}
b
{2, 3, 2, 7}
c
{2, 3, 3, 7}
d
{2, 3, 3}
e
{2, 3, 3, 7, 7}
f
{2, 3, 7}
3
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{2, 3, 2, 2}
b
{2, 2, 2, 2}
c
{2, 2, 3, 2}
d
{2, 2, 3, 6, 2}
e
{2, 2, 3, 2, 2}
f
{2, 2, 3, 2, 5}
4
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{3, 3}
b
{2, 7, 3}
c
{2, 3, 3, 5}
d
{2, 3, 3}
e
{2, 3, 3, 3}
f
{3, 3, 4, 6, 4}
5
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{2, 2, 6, 7}
b
{2, 2, 3, 7, 6}
c
{2, 2, 3}
d
{2, 4, 3, 7}
e
{2, 2, 3, 7}
f
{2, 2, 3, 7, 4}
6
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{2, 3, 3, 2, 2, 7}
b
{2, 3, 3, 2, 7}
c
{2, 3, 3, 2, 2}
d
{2, 3, 3, 2, 5}
e
{2, 3, 3, 5, 2}
f
{2, 3, 3, 2}
7
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{3, 5, 2, 2, 2}
b
{3, 2, 2}
c
{3, 5, 2, 2}
d
{3, 5, 2, 2, 7}
e
{3, 5, 2}
f
{3, 4, 2, 2}
8
Complete the factor diagram and find the set of all distinct prime factors.
An svg image showing a math problem
a
{2, 2, 2, 2}
b
{2, 2, 2, 5}
c
{2, 2, 3, 2}
d
{2, 2, 2, 3}
e
{2, 2, 2}
f
{2, 2, 2, 2, 4}