Factoring and Venn Factor Diagrams - Practice

63 Topics, 4 Skills

Is the Number Prime or Composite

Topic 1

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

Topic 2

Venn Diagrams - 2 Numbers - To LCM

Topic 3

Factor Tree with 3 Factors - Full

Topic 4

Venn Diagrams - 2 Numbers - Populated Venn to LCM

Topic 5

Is Number a Multiple of Both - From Values as Factors

Topic 6

Finding Lowest Common Multiple from Factorizations

Topic 7

Finding Lowest Common Multiple

Topic 8

Venn Diagrams - 3 Numbers - To Shared Factors

Topic 9

Is the Number Prime or Composite

Topic 10

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

Topic 11

Venn Diagrams - 2 Numbers - To GCF

Topic 12

Venn Diagrams - 2 Numbers - To GCF

Topic 13

Factor Tree with 4 Factors - Finish

Topic 14

Is Number a Multiple - From Value as Factors

Topic 15

Finding Lowest Common Multiple from Factorizations

Topic 16

Finding Lowest Common Multiple Distinct Factors

Topic 17

Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors

Topic 18

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

Topic 19

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

Topic 20

Venn Diagrams - 2 Numbers - To LCM

Topic 21

Venn Diagrams - 2 Numbers - Populated Venn to LCM

Topic 22

Is Number a Multiple - From Value as Factors

Topic 23

Is Number a Multiple of Both - From Values as Factors

Topic 24

Finding Lowest Common Multiple Distinct Factors

Topic 25

Finding Lowest Common Multiple

Topic 26

Venn Diagrams - 2 Numbers - Populated Venn to Shared Factors

Topic 27

Venn Diagrams - 2 Numbers - Populated Venn to Distinct Factors

Topic 28

Factor Tree with 4 Factors - Full

Topic 29

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 30

Is Number a Factor of Both - From Values as Factors

Topic 31

Finding Greatest Common Factor from Factorizations

Topic 32

Finding Greatest Common Factor

Topic 33

Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors

Topic 34

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

Topic 35

Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors

Topic 36

Venn Diagrams - 3 Numbers - To Shared Factors

Topic 37

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

Topic 38

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

Topic 39

Venn Diagrams - 2 Numbers - To Shared Factors

Topic 40

Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors

Topic 41

Is Number a Factor - From Value as Factors

Topic 42

Is Number a Factor of Both - From Values as Factors

Topic 43

Finding Greatest Common Factor Shared Factors

Topic 44

Finding Greatest Common Factor

Topic 45

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

Topic 46

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

Topic 47

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

Topic 48

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

Topic 49

Which Number of a Pair is Prime

Topic 50

Venn Diagrams - 2 Numbers - Populated Venn without Unique to Distinct Factors

Topic 51

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

Topic 52

Venn Diagrams - 2 Numbers - Populated Venn to GCF

Topic 53

Is Number a Factor - From Value as Factors

Topic 54

Finding Greatest Common Factor from Factorizations

Topic 55

Finding Greatest Common Factor Shared Factors

Topic 56

Venn Diagrams - 3 Numbers - Populated Venn to Shared Factors

Topic 57

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

Topic 58

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

Topic 59

Venn Diagrams - 3 Numbers - Populated Venn to Distinct Factors

Topic 60

Venn Diagrams - 3 Numbers - To Shared Factors

Topic 61

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

Topic 62

Which Number of a Pair is Prime

Topic 63

Prime Factorizatio

Is Number a Multiple of Both - From Values as Factors (Level 1)

This math topic focuses on practicing prime factorization and evaluating whether a given number is a multiple of two other numbers through the use of factor trees and prime exponents. It is part of a broader unit covering factoring and calculating the lowest common multiple. Problems entail determining if one number can be divided evenly by two others based on their prime factorizations, enhancing understanding of multiples, divisibility, and prime factors in a systematic manner. Each problem requires analyzing the factorization of numbers and applying this to assess divisibility conditions.

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

more
View Unit

Is Number a Multiple of Both - From Values as Factors

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


Is 147 a multiple of both 15 and 49?

147=37215=3549=72is 147 a multiple of 15 and 49?\begin{align*}147 &= 3 \cdot 7^2\\\\[-0.5em]15 &= 3 \cdot 5\\[-0.5em]49 &= 7^2\end{align*}\\\\ \textsf{is }147\textsf{ a multiple of }\\15\textsf{ and }49?

?