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

This math topic focuses on using Venn diagrams to help with factoring two numbers and determining distinct factors from populated diagrams, where unique factors specific to each number are not highlighted. Each problem involves completing a factor diagram followed by identifying all distinct factors from the set representation provided in the options. The skills practiced include analytical reasoning, multiplication factors finding, and the use of mathematical tools like Venn diagrams to simplify complex factorization tasks. This forms a foundational part of broader learning about factoring and factor diagrams.

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

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

Math worksheet on 'Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Unique to Distinct Factors (Level 2)'. Part of a broader unit on 'Factoring and Venn Factor Diagrams - Intro' Learn online: app.mobius.academy/math/units/factoring_and_venn_diagrams_intro/

1

Complete the factor diagram and use it to find the set of all distinct factors.

a

{7, 2}

b

{2, 2, 3, 6, 4}

c

{2, 2, 7, 3, 3}

d

{2, 7, 4, 4, 6}

e

{2, 7, 2}

f

{5, 7, 2}

2

Complete the factor diagram and use it to find the set of all distinct factors.

a

{2, 2, 2}

b

{2, 2}

c

{2, 2, 2, 6}

d

{6, 2, 2}

e

{2, 2, 4, 2, 7}

f

{2, 2, 2, 7, 7}

3

Complete the factor diagram and use it to find the set of all distinct factors.

a

{3, 5, 2, 2}

b

{3, 5, 2, 2, 7}

c

{3, 5, 3, 2}

d

{5, 2, 2}

e

{3, 5, 2}

f

{3, 3, 2, 2}

4

Complete the factor diagram and use it to find the set of all distinct factors.

a

{2, 2, 3, 3}

b

{2, 2, 3, 5, 4}

c

{2, 2, 3, 5, 3}

d

{2, 3, 5}

e

{2, 2, 3, 5}

f

{2, 2, 5, 5}

5

Complete the factor diagram and use it to find the set of all distinct factors.

a

{3, 3, 5, 7}

b

{3, 3, 5, 3}

c

{3, 5, 4, 2, 4}

d

{3, 3, 5, 5}

e

{3, 3, 5}

f

{3, 3, 2, 6, 4}

6

Complete the factor diagram and use it to find the set of all distinct factors.

a

{2, 5, 2, 2, 4}

b

{2, 5, 2, 2, 2}

c

{2, 5, 2, 2}

d

{3, 5, 2, 2}

e

{2, 5, 2}

f

{2, 5, 3, 2}

7

Complete the factor diagram and use it to find the set of all distinct factors.

a

{2, 3, 5, 3, 2}

b

{2, 5, 3}

c

{5, 3, 4, 5, 5}

d

{2, 5, 7}

e

{5, 3, 3, 3, 6}

f

{5, 3, 4, 7, 3}