Venn Diagrams - 2 Numbers - Populated Venn to Distinct Factors (Level 4)

This math topic focuses on utilizing Venn diagrams to identify distinct factors of given numbers. The exercises guide learners through analyzing populated Venn diagrams to list out the unique factors. There are multiple levels of problems supplied, increasing in complexity, each requiring the students to extract and recognize factors across different configurations and combinations. This practice is vital for enhancing understanding of factors and their interactions, such as finding the Lowest Common Multiple. Additionally, this topic forms part of broader factoring skills and fundamentals.

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 to Distinct Factors Worksheet

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Factoring - Venn Diagrams - 2 Numbers - Populated Venn to Distinct Factors
1
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{2, 2, 2, 11}
b
{2, 2, 2, 2, 3}
c
{2, 2, 2, 2, 4}
d
{7, 2, 2, 2, 11}
e
{2, 2, 2, 2, 11, 2}
f
{2, 2, 2, 2, 11}
2
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{5, 5, 11}
b
{2, 5, 11}
c
{2, 5, 11, 5}
d
{2, 5}
e
{2, 5, 11, 2}
f
{2, 5, 4}
3
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{6, 11, 2, 2}
b
{2, 11, 2, 2}
c
{3, 11, 2, 2}
d
{2, 11, 2}
e
{2, 11, 2, 2, 6}
f
{2, 2, 2}
4
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{2, 5, 5, 2, 2}
b
{2, 2, 5, 2, 2, 2}
c
{2, 2, 5, 2, 3}
d
{2, 2, 5, 2}
e
{2, 5, 2, 2}
f
{2, 2, 5, 2, 2}
5
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{2, 5, 11}
b
{2, 2, 5, 11, 2}
c
{2, 2, 5, 11}
d
{2, 2, 11}
e
{2, 2, 5, 6}
f
{4, 2, 5, 11}
6
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{2, 7, 2, 3}
b
{2, 7, 2, 2, 3}
c
{2, 7, 2, 2, 3, 5}
d
{7, 2, 2, 3}
e
{6, 7, 2, 2, 3}
f
{2, 7, 2, 2, 3, 3}
7
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{2, 3, 3, 2}
b
{7, 3, 3, 2, 5}
c
{2, 3, 2, 5}
d
{2, 3, 3, 2, 3}
e
{2, 3, 3, 2, 5}
f
{2, 3, 3, 2, 5, 7}
8
Use the factor diagram to find all the distinct prime factors of these numbers.
An svg image showing a math problem
a
{3, 5, 7}
b
{3, 2, 7}
c
{3, 3, 7}
d
{3, 7}
e
{5, 3, 7}
f
{3, 3, 7, 6}