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Factoring

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

This math topic focuses on utilizing Venn diagrams to factor numbers and identify distinct factors. It involves completing factor diagrams for different sets of three numbers and deriving all the distinct factors from them. Each set of problems provides various numbers to analyze, helping individuals develop and refine their skills in identifying common and unique factors using graphical representations. This is particularly useful for visual learners and enhances understanding of fundamental concepts in number theory and factorization.

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

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Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Unique to Distinct Factors Worksheet

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