Factoring - Venn Diagrams - 2 Numbers - Populated Venn to Shared Factors (Level 2)

This math topic focuses on using Venn diagrams to practice the skill of identifying shared prime factors between two numbers. Each problem provides a factor diagram in which students must analyze the given numbers and locate the common prime factors that lie in the intersection of the Venn diagram. There are multiple questions of this nature, each containing a graphical display of the numbers' factors and a set of given answers. This assists students in understanding factorization through visual means and enhances their ability to determine common factors in a straightforward, illustrative setup.

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

Factoring - Venn Diagrams - 2 Numbers - Populated Venn to Shared Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 2 Numbers - Populated Venn 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

{3, 3, 4, 3, 3}

b

{3}

c

{3, 3, 7, 7, 5}

d

{5, 4, 5}

e

{7, 6, 2}

f

{3, 5}

2

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

a

{2}

b

{7}

c

{7, 3, 7}

d

{5, 2}

e

{5}

f

{5, 4}

3

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

a

{2, 3, 5, 4}

b

{2, 7, 6}

c

{7, 3, 5}

d

{3}

e

{6, 3, 5, 2}

f

{4, 6, 4}

4

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

a

{2, 6}

b

{2, 6, 7}

c

{3, 2, 5}

d

{5, 6, 6}

e

{2}

f

{4, 7, 2}

5

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

a

{5}

b

{5, 6, 5}

c

{5, 6, 3, 6, 6}

d

{5, 7}

e

{7, 2, 4, 7}

f

{5, 7, 3, 3, 7}

6

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

a

{6, 6, 3, 5}

b

{4, 2, 4, 7}

c

{2, 4}

d

{2}

e

{3, 6, 7}

f

{5, 2, 7}

7

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

a

{3, 7, 6}

b

{7, 7, 6}

c

{2}

d

{4, 3, 7, 2}

e

{2, 5, 2, 6, 2}

f

{4, 4, 3}