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Factoring and Lowest Common Multiple - Advanced

36 Topics, 5 Skills

Is Number a Multiple - From Value as Factors

Topic 1

Is Number a Multiple - From Variable as Factors

Topic 2

Is Number a Multiple of Both - From Variables as Factors

Topic 3

Venn Diagrams - 3 Numbers - Populated Venn to LCM

Topic 4

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

Topic 5

Finding Lowest Common Multiple

Topic 6

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 7

Finding Lowest Common Multiple - 3 Numbers

Topic 8

Factor Tree with 4 Factors - Full

Topic 9

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

Topic 10

Venn Diagrams - 3 Numbers - To LCM

Topic 11

Factor to 4 Factors

Topic 12

Is Number a Multiple of Both - From Values as Factors

Topic 13

Is Number a Multiple - From Variable as Factors

Topic 14

Factor Tree with 4 Factors - Full

Topic 15

Venn Diagrams - 3 Numbers - Populated Venn to LCM

Topic 16

Venn Diagrams - 3 Numbers - To LCM

Topic 17

Finding Lowest Common Multiple from Factorizations - 3 Numbers

Topic 18

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 19

Finding Lowest Common Multiple - 3 Numbers

Topic 20

Factor Tree with 4 Factors - Full

Topic 21

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

Topic 22

Venn Diagrams - 3 Numbers - Populate Venn

Topic 23

Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors

Topic 24

Is Number a Multiple - From Value as Factors

Topic 25

Is Number a Multiple of Both - From Values as Factors

Topic 26

Is Number a Multiple of Both - From Variables as Factors

Topic 27

Factor to 4 Factors

Topic 28

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

Topic 29

Venn Diagrams - 3 Numbers - To LCM

Topic 30

Finding Lowest Common Multiple from Factorizations - 3 Numbers

Topic 31

Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Topic 32

Finding Lowest Common Multiple - 3 Numbers

Topic 33

Venn Diagrams - 3 Numbers - Populated Venn to LCM

Topic 34

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

Topic 35

Venn Diagrams - 3 Numbers - To Shared Factors

Topic 36

Prime Factorizatio

Is Number a Multiple - From Variable as Factors (Level 3)

This math topic practices advanced skills related to prime factorization, checking if one number is a multiple of another, and operations using variables expressed as factors. The problems involve analyzing expressions with variables defined as products of primes raised to powers, and determining if one expression (in terms of its numeric evaluation) is a multiple of another. It covers key concepts in factoring and understanding lowest common multiples at an advanced level.

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

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Is Number a Multiple - From Variable as Factors

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Is b a multiple of 350

b=3⋅52⋅72350=2⋅52⋅7is b a multiple of 350?\begin{align*}b &= 3 \cdot 5^2 \cdot 7^2\\\\[-0.5em]350 &= 2 \cdot 5^2 \cdot 7\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }350?

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