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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 of Both - From Variables as Factors (Level 2)

This math topic involves evaluating whether a given number \( z, r, y, b, m, r, \) or \( c \) is a multiple of two other specified numbers using prime factorization and variable exponents. Each question presents expressions where a number is expressed through a multiplication of primes raised to certain powers, and the student must determine if this number is a multiple of two others listed. This involves skills related to factoring, recognizing multiples, and working with lowest common multiples. Each question provides two answer choices: "Yes" or "No."

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 Variables as Factors

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

Is b a multiple of both 63 and 147?

b=32⋅7263=32⋅7147=3⋅72is b a multiple of 63 and 147?\begin{align*}b &= 3^2 \cdot 7^2\\\\[-0.5em]63 &= 3^2 \cdot 7\\[-0.5em]147 &= 3 \cdot 7^2\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }\\63\textsf{ and }147?

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