Factoring - Venn Diagrams - 3 Numbers - To Shared Factors (Level 2)

This math topic focuses on using Venn diagrams for factoring to identify shared prime factors among three numbers. It introduces a practical approach to determining commonalities within sets of numbers through visual factor diagrams. The exercises require students to analyze the given diagrams and list the prime factors that appear in the overlap (center) area, signifying shared factors among the numbers. Each question presents a different set of numbers and corresponding factor diagrams, enabling practice in recognizing patterns and the application of factoring skills in finding common prime factors.

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

Factoring - Venn Diagrams - 3 Numbers - To Shared Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 3 Numbers - To Shared 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

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

a

{2}

b

{7, 5, 3, 3}

c

{2, 2, 5}

d

{2, 6, 6, 2, 5}

e

{3}

f

{4}

2

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

a

{4, 3, 6, 3}

b

{5, 5, 6}

c

{2, 4, 3}

d

{3, 2, 7, 4, 6}

e

{3, 3, 7, 6, 5}

f

{3}

3

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

a

{2, 3, 2, 6}

b

{4, 2, 2, 7}

c

{2}

d

{2, 7}

e

{4}

f

{3, 6, 4, 6}

4

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

a

{2, 6, 3}

b

{7, 2, 6, 6}

c

{2, 6, 7, 2, 3}

d

{2}

e

{2, 2}

f

{5, 7, 4, 4}

5

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

a

{2, 6, 3, 6, 7}

b

{4, 6, 7, 4}

c

{2}

d

{2, 2}

e

{4}

f

{2, 6}

6

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

a

{3, 3, 3, 5, 7}

b

{6, 6, 5}

c

{7, 3, 6}

d

{4}

e

{5, 6, 7}

f

{3}

7

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

a

{4, 2, 2}

b

{3}

c

{2, 6}

d

{7, 3, 6}

e

{2, 2, 3, 6, 6}

f

{2}