Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Center to Shared Factors (Level 4)

This topic involves practicing factoring using Venn diagrams to demonstrate shared factors between two numbers. Each question tasks students with identifying and placing common factors into the center of a Venn diagram. The skill focus is on understanding factorization and the concept of the Greatest Common Factor (GCF), helping learners visualize how numbers can be broken down into their prime components and where these components overlap for a pair of numbers. The problems are presented at a more challenging level, requiring a thorough grasp of how to break numbers into factors and determine commonalities.

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

Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Center to Shared Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 2 Numbers - Populated Venn without Center to Shared Factors (Level 4)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Practice' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_practice/

1

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

a

{6}

b

{5}

c

{3, 4}

d

{3}

e

{2, 6, 5, 2}

f

{4, 5, 5, 7}

2

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

a

{6, 5, 2}

b

{5, 7, 2}

c

{5}

d

{2}

e

{2, 3}

f

{7, 5, 5}

3

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

a

{2, 2, 2, 7}

b

{2, 2, 6, 5, 4}

c

{2, 2, 2, 5}

d

{2, 3, 2}

e

{2, 2, 2}

f

{2, 2, 2, 6}

4

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

a

{3, 5}

b

{6, 2, 3, 6}

c

{7}

d

{5, 2, 2, 6}

e

{6, 6, 4}

f

{3}

5

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

a

{5, 2}

b

{2, 7}

c

{2, 3}

d

{2}

e

{2, 2}

f

{2, 4, 5, 5}

6

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

a

{3, 2}

b

{3}

c

{2, 3, 7}

d

{3, 5}

e

{5, 3, 7, 3}

f

{3, 7, 5, 3, 3}

7

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

a

{3}

b

{3, 3, 7, 6, 7}

c

{7}

d

{7, 2, 7, 4}

e

{3, 6, 3, 3, 6}

f

{3, 4}