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Factoring and Greatest Common Factor - Intro

47 Topics, 4 Skills

Finding Greatest Common Factor from Factorizations

Topic 1

Is Integer a Factor - From Value as Factors

Topic 2

Is Integer a Factor of Both - From Values as Factors

Topic 3

Finding Greatest Common Factor Shared Factors

Topic 4

Finding Greatest Common Factor

Topic 5

Which Number of a Pair is Prime

Topic 6

Is the Number Prime or Composite

Topic 7

Is the Number Prime or Composite

Topic 8

Which Number of a Pair is Prime

Topic 9

Is the Number Prime or Composite

Topic 10

Is the Number Prime or Composite

Topic 11

Factor to 3 Factors

Topic 12

Factor to 3 Factors

Topic 13

Factor Tree with 4 Factors - Finish

Topic 14

Factor Tree with 4 Factors - Full

Topic 15

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 16

Factor Tree with 4 Factors - Full

Topic 17

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 18

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 19

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 20

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

Topic 21

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

Topic 22

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

Topic 23

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

Topic 24

Venn Diagrams - 2 Numbers - To GCF

Topic 25

Venn Diagrams - 2 Numbers - To GCF

Topic 26

Venn Diagrams - 2 Numbers - To GCF

Topic 27

Venn Diagrams - 2 Numbers - To GCF

Topic 28

Factor Tree with 4 Factors - Finish

Topic 29

Prime Factorization as Exponents - 3 Factors

Topic 30

Prime Factorization as Exponents - 3 Factors

Topic 31

Is Number a Factor - From Value as Factors

Topic 32

Is Number a Factor - From Value as Factors

Topic 33

Is Number a Factor of Both - From Values as Factors

Topic 34

Is Number a Factor of Both - From Values as Factors

Topic 35

Finding Greatest Common Factor from Factorizations

Topic 36

Is Number a Factor - From Value as Factors

Topic 37

Is Number a Factor - From Variable as Factors

Topic 38

Is Number a Factor of Both - From Values as Factors

Topic 39

Is Number a Factor of Both - From Variables as Factors

Topic 40

Finding Greatest Common Factor Shared Factors

Topic 41

Finding Greatest Common Factor from Factorizations

Topic 42

Finding Greatest Common Factor

Topic 43

Finding Greatest Common Factor

Topic 44

Finding Greatest Common Factor

Topic 45

Which Number of a Pair is Prime

Topic 46

Which Number of a Pair is Prime

Topic 47

Prime Factorizatio

Is Number a Factor of Both - From Values as Factors (Level 3)

This math topic focuses on advanced skills in prime factorization, specifically determining if a number is a factor of two other numbers using their prime factorizations. Each problem presents a factor and two products, expressed in prime factorized form, and asks students to determine if the given factor is indeed a factor of both products. The choices provided for each question are simply "Yes" or "No." This set of problems is part of a broader unit exploring Factoring and the Greatest Common Factor 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 Factor of Both - From Values as Factors

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

10

Is 525 a factor of both 2310 and 1950?

525=3⋅52⋅72310=2⋅3⋅5⋅7⋅111950=2⋅3⋅52⋅13is 525 a factor of2310 and 1950?\begin{align*}525 &= 3 \cdot 5^2 \cdot 7\\\\[-0.5em]2310 &= 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11\\[-0.5em]1950 &= 2 \cdot 3 \cdot 5^2 \cdot 13\end{align*}\\\\ \textsf{is }525\textsf{ a factor of}\\2310\textsf{ and }1950?

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