Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Unique to Distinct Factors (Level 3)

This math topic focuses on practicing factoring skills using Venn diagrams, specifically with three numbers. It involves completing factor diagrams to find all distinct factors for groups of numbers, not including unique factors for each number. The exercises give problems where students need to populate entries in a Venn diagram without allocating unique factors to distinct numbers. Each question requires a comprehensive analysis of common and individual factors of multiple numbers, furthering understanding of relationships between factors and enhancing logical reasoning skills with sets and intersections.

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

Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Unique to Distinct Factors Worksheet

Math worksheet on 'Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Unique to Distinct 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 and use it to find all the distinct factors of these numbers.

a

{5, 5, 2, 3, 2, 2}

b

{2, 5, 2, 3, 2, 2, 5}

c

{2, 5, 2, 3, 2, 2}

d

{2, 5, 2, 3, 2, 3}

e

{2, 5, 2, 7, 2, 2}

f

{2, 5, 2, 3, 2, 2, 4}

2

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{2, 2, 2, 2, 5, 7, 2}

b

{2, 2, 2, 2, 6, 7}

c

{2, 2, 2, 5, 7}

d

{6, 2, 2, 2, 5, 7}

e

{2, 2, 2, 2, 5, 7, 5}

f

{2, 2, 2, 2, 5, 7}

3

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{2, 5, 2, 6, 2}

b

{2, 5, 2, 2, 2, 5}

c

{2, 5, 2, 2, 2, 2}

d

{2, 2, 2, 2}

e

{2, 5, 2, 7, 2}

f

{2, 5, 2, 2, 2}

4

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{4, 2, 3, 3, 5}

b

{2, 2, 3, 3, 5}

c

{2, 2, 3, 3, 4}

d

{2, 2, 4, 3, 5}

e

{2, 3, 3, 5}

f

{2, 2, 3, 3, 5, 5}

5

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{2, 2, 3, 2, 2, 7}

b

{2, 2, 2, 2, 7}

c

{2, 2, 3, 2, 2}

d

{2, 3, 2, 2, 7}

e

{2, 2, 3, 2, 2, 7, 6}

f

{2, 2, 3, 2, 7}

6

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{2, 3, 2, 3, 4}

b

{2, 3, 2, 3}

c

{2, 2, 3}

d

{7, 3, 2, 3}

e

{2, 3, 2, 3, 5}

f

{2, 3, 2}

7

Complete the factor diagram and use it to find all the distinct factors of these numbers.

a

{2, 5, 3, 3, 7, 7}

b

{2, 5, 3, 3, 7, 6}

c

{2, 5, 3, 3, 7, 2}

d

{2, 5, 3, 3, 7}

e

{2, 3, 3, 7}

f

{5, 3, 3, 7}