Factoring - Venn Diagrams - 3 Numbers - Populated Venn without Unique to Distinct Factors (Level 1)

This math topic focuses on using Venn diagrams to practice factoring with three numbers. The problems involve completing factor diagrams to find all distinct factors of given numbers. These exercises help reinforce the understanding of how numbers can be broken down into their prime factors and how these factors relate across different numbers, promoting skills in factorization and the use of Venn diagrams to organize information logically. Each question presents a scenario where students are required to visually sort and identify common and unique factors.

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 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

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

a

{2, 2, 2, 3, 6}

b

{2, 2, 2, 6}

c

{2, 2, 2, 3, 4}

d

{2, 2, 3}

e

{2, 2, 2, 3}

f

{2, 2, 2, 3, 7}

2

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

a

{2, 3, 2, 3}

b

{2, 3, 2, 2, 5}

c

{2, 3, 2}

d

{2, 3, 2, 2, 3}

e

{2, 3, 2, 2}

f

{3, 3, 2, 2}

3

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

a

{2, 2, 7}

b

{2, 2, 3}

c

{2, 3, 3, 2, 5}

d

{2, 2, 3, 2}

e

{2, 2, 3, 6}

f

{2, 3}

4

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

a

{2, 3, 2, 2, 3}

b

{4, 3, 2, 2}

c

{2, 3, 2}

d

{3, 2, 2}

e

{2, 3, 2, 2}

f

{2, 3, 2, 2, 7}

5

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

a

{2, 2, 3}

b

{2, 3, 3}

c

{2, 2, 5, 7, 6}

d

{2, 2}

e

{4, 2, 3}

f

{2, 2, 3, 4}

6

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

a

{2, 3, 2, 4, 4}

b

{2, 3, 3}

c

{2, 3}

d

{2, 2, 3, 4}

e

{5, 2, 3}

f

{2, 2, 3}

7

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

a

{3, 3, 2, 2, 5}

b

{3, 4, 2, 2}

c

{3, 3, 2}

d

{3, 3, 2, 2, 4}

e

{3, 2, 2}

f

{3, 3, 2, 2}