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Factoring and Lowest Common Multiple - Practice

48 Topics, 4 Skills

Venn Diagrams - 2 Numbers - To LCM

Topic 1

Finding Lowest Common Multiple from Factorizations

Topic 2

Finding Lowest Common Multiple from Factorizations - 3 Numbers

Topic 3

Which Number of a Pair is Prime

Topic 4

Finding Lowest Common Multiple from Factorizations - 3 Numbers

Topic 5

Is Number a Multiple of Both - From Variables as Factors

Topic 6

Is Number a Multiple of Both - From Variables as Factors

Topic 7

Is the Number Prime or Composite

Topic 8

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 9

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 10

Finding Lowest Common Multiple - 3 Numbers

Topic 11

Finding Lowest Common Multiple - 3 Numbers

Topic 12

Finding Lowest Common Multiple - 3 Numbers

Topic 13

Venn Diagrams - 3 Numbers - Populated Venn to LCM

Topic 14

Venn Diagrams - 3 Numbers - Populated Venn to LCM

Topic 15

Venn Diagrams - 3 Numbers - Populated Venn without Unique to LCM

Topic 16

Venn Diagrams - 3 Numbers - Populated Venn without Unique to LCM

Topic 17

Venn Diagrams - 3 Numbers - To LCM

Topic 18

Venn Diagrams - 3 Numbers - To LCM

Topic 19

Factor to 4 Factors

Topic 20

Venn Diagrams - 2 Numbers - To LCM

Topic 21

Venn Diagrams - 2 Numbers - Populate Venn

Topic 22

Finding Lowest Common Multiple Distinct Factors

Topic 23

Is Number a Multiple - From Variable as Factors

Topic 24

Is the Number Prime or Composite

Topic 25

Venn Diagrams - 2 Numbers - Populated Venn to LCM

Topic 26

Factor Tree with 4 Factors - Full

Topic 27

Venn Diagrams - 2 Numbers - Populated Venn to Distinct Factors

Topic 28

Finding Lowest Common Multiple

Topic 29

Is Number a Multiple of Both - From Values as Factors

Topic 30

Which Number of a Pair is Prime

Topic 31

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 32

Factor Tree with 4 Factors - Full

Topic 33

Venn Diagrams - 2 Numbers - Populated Venn to LCM

Topic 34

Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM

Topic 35

Venn Diagrams - 2 Numbers - Populated Venn without Unique to Distinct Factors

Topic 36

Venn Diagrams - 2 Numbers - Populated Venn without Numbers to Numbers

Topic 37

Finding Lowest Common Multiple from Factorizations

Topic 38

Is Number a Multiple - From Value as Factors

Topic 39

Is Number a Multiple of Both - From Values as Factors

Topic 40

Factor Tree with 4 Factors - Full

Topic 41

Venn Diagrams - 2 Numbers - Populated Venn without Unique to LCM

Topic 42

Factor to 4 Factors

Topic 43

Venn Diagrams - 2 Numbers - To Distinct Factors

Topic 44

Finding Lowest Common Multiple

Topic 45

Is Number a Multiple - From Value as Factors

Topic 46

Is Number a Multiple - From Variable as Factors

Topic 47

Factor to 4 Factors

Topic 48

Prime Factorizatio

Is Number a Multiple of Both - From Values as Factors (Level 2)

This math topic involves applying prime factorization to determine if one number is a multiple of two others. Problems require the use of factoring skills to break numbers down into their prime factors, and an understanding of multiples to determine the relationship between numbers. The central theme of these problems is to assess whether a given number, after its prime factors have been exposed, is a multiple of both of two other factored numbers simultaneously, which is part of practicing Lowest Common Multiple calculation. Each question displays the prime factorization of three numbers and asks if the first is a multiple of the other two.

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

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Is Number a Multiple of Both - From Values as Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Is 126 a multiple of both 30 and 18?

126=2⋅32⋅730=2⋅3⋅518=2⋅32is 126 a multiple of 30 and 18?\begin{align*}126 &= 2 \cdot 3^2 \cdot 7\\\\[-0.5em]30 &= 2 \cdot 3 \cdot 5\\[-0.5em]18 &= 2 \cdot 3^2\end{align*}\\\\ \textsf{is }126\textsf{ a multiple of }\\30\textsf{ and }18?

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