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Factoring and Greatest Common Factor - Practice

52 Topics, 4 Skills

Venn Diagrams - 2 Numbers - Populated Venn without Center to Shared Factors

Topic 1

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 2

Finding Greatest Common Factor - 3 Numbers

Topic 3

Is the Number Prime or Composite

Topic 4

Is Number a Factor - From Value as Factors

Topic 5

Is Number a Factor - From Variable as Factors

Topic 6

Is Number a Factor of Both - From Variables as Factors

Topic 7

Is Integer a Factor of Both - From Values as Factors

Topic 8

Factor to 4 Factors

Topic 9

Factor to 4 Factors

Topic 10

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

Topic 11

Venn Diagrams - 2 Numbers - Populated Venn to Shared Factors

Topic 12

Is the Number Prime or Composite

Topic 13

Finding Greatest Common Factor - 3 Numbers

Topic 14

Is Number a Factor - From Value as Factors

Topic 15

Is Number a Factor of Both - From Values as Factors

Topic 16

Is Number a Factor of Both - From Variables as Factors

Topic 17

Is Integer a Factor - From Value as Factors

Topic 18

Factor Tree with 4 Factors - Full

Topic 19

Venn Diagrams - 3 Numbers - Populated Venn to GCF

Topic 20

Finding Greatest Common Factor

Topic 21

Which Number of a Pair is Prime

Topic 22

Is the Number Prime or Composite

Topic 23

Is Number a Factor of Both - From Values as Factors

Topic 24

Is Number a Factor - From Variable as Factors

Topic 25

Is Integer a Factor - From Value as Factors

Topic 26

Is Integer a Factor of Both - From Values as Factors

Topic 27

Factor Tree with 4 Factors - Full

Topic 28

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

Topic 29

Venn Diagrams - 3 Numbers - Populated Venn to GCF

Topic 30

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

Topic 31

Venn Diagrams - 2 Numbers - Populate Venn

Topic 32

Venn Diagrams - 2 Numbers - To Shared Factors

Topic 33

Finding Greatest Common Factor

Topic 34

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 35

Which Number of a Pair is Prime

Topic 36

Factor Tree with 4 Factors - Full

Topic 37

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 38

Factor to 4 Factors

Topic 39

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

Topic 40

Venn Diagrams - 2 Numbers - To GCF

Topic 41

Finding Greatest Common Factor Shared Factors

Topic 42

Finding Greatest Common Factor from Factorizations

Topic 43

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 44

Which Number of a Pair is Prime

Topic 45

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 46

Venn Diagrams - 2 Numbers - To GCF

Topic 47

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

Topic 48

Venn Diagrams - 3 Numbers - To GCF

Topic 49

Venn Diagrams - 3 Numbers - To GCF

Topic 50

Finding Greatest Common Factor

Topic 51

Finding Greatest Common Factor - 3 Numbers

Topic 52

Prime Factorizatio

Is Number a Factor of Both - From Variables as Factors (Level 2)

This math topic focuses on evaluating the divisibility of numbers by examining prime factorization. It combines the concepts of factoring and finding the greatest common factor (GCF) in practical scenarios. Each question lists two expressions involving products of prime factors and asks whether one expression is a factor of the other two given expressions. The problems help enhance understanding of prime factorization, examining common factors, and applying these skills in finding whether one number is a factor of others. This is essential for developing skills in higher mathematics, particularly in algebra and number theory.

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

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Is Number a Factor of Both - From Variables as Factors

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

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Is m a factor of both 126 and 315?

m=32⋅7126=2⋅32⋅7315=32⋅5⋅7is m a factor of126 and 315?\begin{align*}m &= 3^2 \cdot 7\\\\[-0.5em]126 &= 2 \cdot 3^2 \cdot 7\\[-0.5em]315 &= 3^2 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\126\textsf{ and }315?

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