Finding Lowest Common Multiple Distinct Factors (Level 2)

This math topic focuses on identifying and listing the distinct factors of given pairs of numbers. It engages in the practice of factorization and is associated with learning and applying concepts related to Venn Factor Diagrams. Specifically, students are tasked with finding sets of unique factors for varied pairs of integers. This serves as an exercise in distinguishing between factors and understanding their relationships, especially when diagramming them using Venn diagrams as part of broader factoring concepts. Each question requires analyzing two numbers to determine their distinct factors.

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

Finding Lowest Common Multiple Distinct Factors Worksheet

Math worksheet on 'Finding Lowest Common Multiple Distinct Factors (Level 2)'. 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

Find the set of all the distinct factors of these numbers

6, 14

a

{2, 3, 7, 5}

b

{2, 3, 7, 7}

c

{2, 3, 7, 3}

d

{2, 2, 7}

e

{2, 3, 7}

f

{2, 7}

2

Find the set of all the distinct factors of these numbers

10, 15

a

{5, 3, 3, 4, 6}

b

{5, 3}

c

{2, 5, 3}

d

{2, 5, 3, 7}

e

{2, 3}

f

{3, 5, 3}

3

Find the set of all the distinct factors of these numbers

15, 10

a

{3, 5, 2, 4}

b

{3, 5, 7, 3, 6}

c

{3, 7, 2}

d

{2, 5, 2}

e

{7, 5, 2}

f

{3, 5, 2}

4

Find the set of all the distinct factors of these numbers

14, 4

a

{2, 7}

b

{7, 2, 7, 6, 6}

c

{7, 2, 2, 6, 7}

d

{2, 2, 2}

e

{2, 7, 2, 3}

f

{2, 7, 2}

5

Find the set of all the distinct factors of these numbers

13, 15

a

{13, 3, 5, 7}

b

{13, 3, 5}

c

{13, 3, 5, 6}

d

{13, 3, 5, 4}

e

{13, 3, 5, 3}

f

{5, 3, 5}

6

Find the set of all the distinct factors of these numbers

13, 11

a

{2, 11}

b

{6, 11, 5, 4, 5}

c

{11, 5, 6, 2}

d

{5, 11, 6, 4, 6}

e

{13, 11}

f

{11}

7

Find the set of all the distinct factors of these numbers

9, 15

a

{3, 5, 4, 2, 4}

b

{3, 3, 7, 7, 3}

c

{5, 3, 5}

d

{3, 3, 2}

e

{3, 3, 3}

f

{3, 3, 5}