Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Center to Shared Factors (Level 3)

This math topic focuses on using Venn diagrams for factoring, specifically aimed at identifying the shared factors of three numbers. It examines advanced aspects of factoring and finding the greatest common factor (GCF). Each problem requires completing Venn diagrams by correctly placing the shared prime factors of the given numbers in the appropriate sections of the diagram. This exercise helps in understanding the relationships between different numbers through their factors, enhancing problem-solving skills associated with number theory and factorization.

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

Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Center to Shared Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Center to Shared Factors (Level 3)'. Part of a broader unit on 'Factoring and Venn Factor Diagrams - Practice' Learn online: app.mobius.academy/math/units/factoring_and_venn_diagrams_practice/

1

Complete the factor diagram by adding the shared prime factors in the center

a

{2, 2}

b

{2, 7, 7, 7}

c

{2, 3, 5, 5}

d

{2, 2, 2}

e

{2}

f

{2, 2, 7, 2}

2

Complete the factor diagram by adding the shared prime factors in the center

a

{4, 5, 2}

b

{2}

c

{7, 5, 3, 4}

d

{2, 7, 5, 6, 6}

e

{3}

f

{2, 3, 5, 3, 7}

3

Complete the factor diagram by adding the shared prime factors in the center

a

{4}

b

{2, 3}

c

{6, 7, 4, 4}

d

{4, 6, 7}

e

{7, 5, 3, 3}

f

{2}

4

Complete the factor diagram by adding the shared prime factors in the center

a

{6, 4, 7}

b

{2}

c

{2, 3}

d

{4, 2, 2, 2}

e

{3}

f

{3, 2, 2, 4}

5

Complete the factor diagram by adding the shared prime factors in the center

a

{7, 4, 4, 6}

b

{5, 6, 2}

c

{7, 5, 3}

d

{4, 3, 3, 5}

e

{2, 5, 6}

f

{2}

6

Complete the factor diagram by adding the shared prime factors in the center

a

{3}

b

{2}

c

{3, 2, 4}

d

{2, 2}

e

{2, 7}

f

{2, 4}

7

Complete the factor diagram by adding the shared prime factors in the center

a

{4, 3, 2}

b

{3, 7, 2, 7, 6}

c

{3}

d

{2}

e

{3, 7}

f

{6, 4, 5}