Factoring - Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors (Level 1)

This math topic focuses on using Venn diagrams to identify shared prime factors among three numbers. Students practice by analyzing populated Venn diagrams to determine the common factors located at the center intersection of the diagrams. The problems range from identifying simple shared factors between numbers to more complex scenarios involving multiple shared factors. This set of problems is designed as an introductory exercise to factoring and understanding how numbers can be broken down into their prime components using graphical representations.

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

Factoring - Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors (Level 1)'. 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

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{2, 2, 3, 5, 6}

b

{2}

c

{2, 2, 3, 4}

d

{2, 6, 3, 3}

e

{2, 2}

f

{2, 2, 7}

2

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{2, 5}

b

{7, 3, 6}

c

{5, 2, 7}

d

{2}

e

{3, 6, 3, 4}

f

{7, 3, 4}

3

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{2, 7, 4}

b

{7}

c

{6, 2, 7}

d

{4, 4, 3}

e

{2}

f

{2, 5}

4

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{3, 2, 5, 7}

b

{2, 4}

c

{2, 3, 7, 6, 4}

d

{2, 6}

e

{2}

f

{2, 7, 3, 5, 5}

5

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{5, 7, 3, 3}

b

{2}

c

{4, 5, 7, 5}

d

{6, 7, 4}

e

{3, 5, 2, 2}

f

{5, 5, 3}

6

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{7}

b

{7, 6, 5}

c

{2, 6, 5, 5, 5}

d

{5}

e

{2}

f

{6, 4, 3}

7

Use the factor diagram to find the shared prime factors of these numbers (in the center)

a

{2, 6, 4, 3, 4}

b

{2, 2, 6, 7, 3}

c

{2, 7, 3, 7, 7}

d

{2}

e

{2, 2}

f

{4, 5, 4}