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Factoring and Greatest Common Factor - Advanced

39 Topics, 5 Skills

Factor Tree with 4 Factors - Full

Topic 1

Factor to 4 Factors

Topic 2

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

Topic 3

Venn Diagrams - 3 Numbers - To GCF

Topic 4

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 5

Finding Greatest Common Factor - 3 Numbers

Topic 6

Is Number a Factor - From Value as Factors

Topic 7

Is Number a Factor - From Variable as Factors

Topic 8

Is Number a Factor of Both - From Variables as Factors

Topic 9

Is Integer a Factor - From Value as Factors

Topic 10

Is Integer a Factor of Both - From Values as Factors

Topic 11

Venn Diagrams - 3 Numbers - Populate Venn

Topic 12

Factor Tree with 4 Factors - Full

Topic 13

Factor Tree with 4 Factors - Full

Topic 14

Venn Diagrams - 3 Numbers - Populated Venn to GCF

Topic 15

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

Topic 16

Finding Greatest Common Factor

Topic 17

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 18

Finding Greatest Common Factor - 3 Numbers

Topic 19

Is Number a Factor of Both - From Values as Factors

Topic 20

Venn Diagrams - 3 Numbers - Populated Venn to GCF

Topic 21

Is Number a Factor of Both - From Variables as Factors

Topic 22

Venn Diagrams - 3 Numbers - Populated Venn without Center to Shared Factors

Topic 23

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

Topic 24

Venn Diagrams - 3 Numbers - To GCF

Topic 25

Factor to 4 Factors

Topic 26

Factor to 4 Factors

Topic 27

Venn Diagrams - 3 Numbers - Populated Venn to GCF

Topic 28

Venn Diagrams - 3 Numbers - To GCF

Topic 29

Finding Greatest Common Factor Shared Factors - 3 Numbers

Topic 30

Finding Greatest Common Factor - 3 Numbers

Topic 31

Is Number a Factor - From Value as Factors

Topic 32

Is Number a Factor of Both - From Values as Factors

Topic 33

Is Number a Factor - From Variable as Factors

Topic 34

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

Topic 35

Is Integer a Factor - From Value as Factors

Topic 36

Is Integer a Factor of Both - From Values as Factors

Topic 37

Venn Diagrams - 3 Numbers - To Distinct Factors

Topic 38

Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors

Topic 39

Prime Factorizatio

Is Integer a Factor of Both - From Values as Factors (Level 2)

This math topic focuses on prime factorization and explores whether specific integers are common factors of two given numbers. Each question presents the prime factorization of certain numbers and asks if a listed integer is a factor of both provided numbers. The integers and numbers are given in algebraic form, and the exercise helps strengthen understanding of factors, prime factorization, and the greatest common factor. This set of problems is suitable for those practicing factoring skills, specifically in identifying shared factors between numbers.

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

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Is Integer a Factor of Both - From Values as Factors

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Is 70 a factor of both 462 and 1365?

70=x⋅z⋅b462=2⋅3⋅7⋅111365=3⋅5⋅7⋅13is 70 a factor of462 and 1365?\begin{align*}70 &= x \cdot z \cdot b\\\\[-0.5em]462 &= 2 \cdot 3 \cdot 7 \cdot 11\\[-0.5em]1365 &= 3 \cdot 5 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }70\textsf{ a factor of}\\462\textsf{ and }1365?

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