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Factoring

Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors (Level 3)

This math topic practices the skills of factoring numbers and understanding Venn diagrams to identify distinct prime factors of multiple numbers. Students apply these concepts through different sets of problems by analyzing populated Venn diagrams and listing distinct factors for each scenario. This enhances their ability to decompose numbers into their prime constituents and visualize common and unique factors using Venn diagrams.

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 to Distinct Factors Worksheet

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Factoring - Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors
1
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{3, 5, 2, 3, 7}
b
{5, 5, 2, 3, 2}
c
{3, 5, 2, 3, 2}
d
{3, 5, 2, 3, 2, 3}
e
{3, 5, 4, 3, 2}
f
{3, 5, 2, 3, 2, 7}
2
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{2, 2, 2, 3, 3}
b
{2, 2, 2, 2, 3, 5}
c
{2, 2, 2, 2, 3}
d
{2, 2, 2, 2, 3, 3, 2}
e
{2, 2, 2, 2, 3, 3}
f
{2, 2, 2, 2, 3, 3, 7}
3
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{2, 7, 2, 2, 2, 3, 3, 3}
b
{7, 7, 2, 2, 2, 3, 3}
c
{2, 7, 2, 2, 2, 3}
d
{2, 7, 2, 2, 3, 3, 3}
e
{2, 7, 2, 2, 2, 3, 3, 4}
f
{2, 7, 2, 2, 2, 3, 3}
4
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{2, 2, 2, 2, 3, 3, 7, 4}
b
{2, 2, 2, 2, 3, 3, 7, 3}
c
{2, 2, 2, 2, 3, 3, 7, 5}
d
{7, 2, 2, 2, 3, 3, 7}
e
{2, 2, 2, 2, 3, 7}
f
{2, 2, 2, 2, 3, 3, 7}
5
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{3, 4, 2, 3}
b
{3, 5, 2, 3, 4}
c
{3, 5, 2, 3}
d
{5, 5, 2, 3}
e
{3, 5, 2, 6}
f
{3, 5, 2, 3, 3}
6
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{6, 7, 3, 3}
b
{2, 7, 3, 7}
c
{3, 7, 3, 3}
d
{2, 3, 3, 3}
e
{2, 7, 3, 3, 3}
f
{2, 7, 3, 3}
7
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{2, 2, 3, 7}
b
{2, 2, 3, 2, 7, 7}
c
{2, 2, 3, 2, 7}
d
{2, 2, 4, 2, 7}
e
{2, 2, 3, 7, 7}
f
{2, 2, 3, 2, 7, 5}
8
Use the factor diagram to find all the distinct factors of these numbers.
An svg image showing a math problem
a
{3, 7, 2, 2, 3}
b
{3, 5, 2, 4, 3}
c
{5, 2, 2, 3}
d
{3, 5, 2, 2, 3, 6}
e
{3, 5, 2, 2, 3}
f
{3, 5, 2, 2, 3, 4}