## Go Math! Practice Fluency Workbook Grade 6 California 1st Edition Chapter 2 Factors and Multiples

**Page 9 Problem 1 Answer**

Given :- number 3

Find to the question first three multiple of 3

Multiples of 3 are the product obtained when an integer is multiplied by 3

First three multiples are:- 3,6,9

First three multiples of 3 are 3,6,9.

**Page 9 Problem 2 Answer**

Given:- number is 7

Find to the question first three multiples of 7

Multiples of 7 are the products obtained when an integer is multiplied by 7

First three multiples are:- 7,14,21

First three multiple of 7 are 7,14,21

**Page 9 Problem 3 Answer**

Given:- number is 12

Find to the question first three multiples of 12

Multiples of 12 are the products obtained when an integer is multiplied by 12

We need to multiply 12 by 1,2,3

First three multiples are:- 12,24,36

First three multiples of 12 are 12,24,and 36.

**Page 9 Problem 4 Answer**

Given:- number is 200

Find to the question first three multiples of 200

Multiples of 200 are the products of obtained when an integer is multiplied by 200

We nee to multiply 200 by 1,2,3

First three multiples are :- 200,400,600

First three multiples of 200 are 200,400,600.

**Page 9 Problem 5 Answer**

Given :- number is 2 & 3

Find to the question least common multiple of 2 & 3

Multiples of 2 are 2,4,6,8,… etc.

Multiples of 3 are 3,6,9,12… etc.

Here we can see the least multiple of 2 is 2 and 3 is 3

Least common multiple of 2 & 3 is 6

LCM of 2 &3 is =6

Least Common multiple of 2 & 3 is 6 and the LCM of 2 & 3 = 6

**Page 9 Problem 6 Answer**

Given :- number is 4 & 5

Find to the question least common multiple of 4 & 5

Multiples of 4 is 4,8,12,16,20….etc.

Multiples of 5 are 5,10,15,20… etc.

Here we can see the least common multiple of 4 & 5 is 20

LCM of 4 & 5= 20

Least common multiple of 4 & 5 is 20 LCM of 4 & 5=20

**Page 9 Problem 7 Answer**

Given :- number is 6 & 7

Find to the question Least common multiple of 6 & 7

Multiples of 6 are 6,12,18,24,30,36,42…etc.

Multiples of 7 are 7,14,21,28,35,42…etc.

Here we can see Least common multiple of 6 & 7 is 42.

Least common multiple of 6 & 7 = 42

**Page 9 Problem 8 Answer**

Given :- number is 2,3 & 4

Find to the question least common multiple of 2,3 & 4

Multiple of 2 are 2,4,6,8,10,12,14,…etc.

Multiple of 3 are 3,6,9,12,15,…etc.

Multiples of 4 are 4,8,12,16…etc.

Here we can see Least common factor of 2,3 & 4 is 12

Least common factor of 2,3 & 4 is 12 .

**Page 9 Problem 9 Answer**

Given :- number is 5,6 & 7

Find to the question the least common factor of 5,6 & 7

Multiples of 5 are 5,10,15,20,25,30,35…etc.

Multiples of 6 are 6,12,18,24,30,…etc

Multiples of 7 are 7,14,21,28,…etc.

Here we can see the least common factor of 5,6,&7 is 210

The least common factor of 5,6 & 7 is 210 .

**Page 9 Problem 10 Answer**

Given :- number is 8,9 & 10

Find to the question the least common factor of 8,9& 10

Multiples of 8 are 8,16,24,32…etc.

Multiples of 9 are 9,18,27,36…etc.

Multiples of 10 are 10,20,30,40…etc.

Here we can see the least common multiple of 8,9 & 10 is 360

The lease common multiple of 8,9 & 10 is 360 .

**Page 9 Problem 11 Answer**

Given :- 60 peoples are invited to a party .there are 24 cups in a package and 18 napkins in a package.

Find :- least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin . Using multiple and factor concept and proceed .

Given,

Number of cups in a package=24

Number of napkins in a package =18

Let total number of package of cups and napkins respectively x & y

Equation of total cups bought =24×x

Equation of total napkin bought =18×y

Total people invited to the party =60

as party guest gets one cup and one napkin total cups and napkins required :- Total number of cups bought

24×x≥60

x≥60

24 x≥2.5

Number of package should be an integer therefor x=3

Total number of napkins bought

18×y≥60

y≥10

3 y≥3.3

Number of package should be an integer therefor y=3

Least number of packages of cups bought are 3 and napkins is 4

**Page 9 Problem 12 Answer**

Given :- Given 45 members in science club .caps come in package of 3 and the shirts come in package of 5

Find :- what is the least number of packages of caps and shirts . Using multiple and factor concept and proceed .

Given , Caps come in package of 3 and the shirts come in package of 5

Total number of member in science club =45

Let total number of packages of caps and shirts x & y respectively .

Equation of caps ordering =3×x

Equation of shirts ordering =y×5

If club members get one cap and one shirts then required caps and shirts package :- Total number of caps ordered

3×x≥45

x=15

Total number of shirts ordered

5×y≥45

y=9

The least number of caps and shirts 15 & 9 respectively.

We need 15 packages of caps and 9 packages of shirts and that is least number of caps and shirts packages.

**Page 9 Problem 13 Answer**

Given :- Some hot dogs come in packages of 8 and hot dog buns packages of 7

Find :- why would a backer of hot dog buns package 7 hot dog buns to a package? We use here least common multiple concept .

Given , Hot dogs come in packages of 8 and hot dog buns packages of 7

So we need to find here the LCM of 8 & 7 LCM of 8,7 =56

We need 7 packages of hot dogs and 8 packages of buns.

**Page 9 Problem 14 Answer**

Find to the question how are the GCF and the LCM alike and different .

GCF is the greatest common factor is the greatest real number shared between two integers .what makes this number a factor is that it is a whole,real number that two integers share- that is , when broken down to their lowest multiples,the largest integer that is shared between the two numbers is their greatest common factor.

And the other hand,the lowest common multiple is the integer shared by two numbers that can be divided by both number.

The biggest difference between the GCF and LCM is that one is based upon what can divide evenly into two numbers,while the other depends on what number shared between two integers can be divided by the two integers (LCM).

**Page 10 Exercise 1 Answer**

Given:- number is 2,9

Find to the question the least common multiple of 2,9

Multiples of 2 are 2,4,6,8…etc

Multiples of 9 are 9,18,27…etc

Here we can see The least common multiple of 2 & 9 is 18

Least common multiple of 2 & 9 is 18.

**Page 10 Exercise 2 Answer**

Given :- number is 4 & 6

Find to the question least common multiple of 4 & 6

Multiples of 4 are 4,8,12…etc

Multiples of 6 are 6,12,18…etc

Here we can see the least common factor of 4 & 6 is 12.

The least common factor of 4 & 6 is 12.

**Page 10 Exercise 3 Answer**

Given :- number is 4 & 10

Find to the question the least common multiple of 4 & 10

Multiples of 4 are 4,8,12,16,20…etc.

Multiples of 10 are 10,20,30…etc

Here we can see the least common multiple of 4 & 10 is 20

The least common factor of 4 & 10 is 20.

**Page 10 Exercise 4 Answer**

Given :- number is 2,5 & 6

Find to the question the least common multiple of 2,5 & 6

Multiples of 2 are 2,4,6,8,10,12,14…etc.

Multiples of 5 are 5,10,15,20,25…etc

Multiples of 6 are 6,12,18,24…etc.

Here we can see the least common multiple of 2,5 & 6 is 30.

The least common multiple of 2,5,& 6 is 30.

**Page 10 Exercise 5 Answer**

Given :- number is 3,4 & 9

Find to the question the least common factor of 3,4 & 9

Multiples of 3 are 3,6,9,12…etc

Multiples of 4 are 4,8,12,16…etc.

Multiples of 9 are 9,18,27,36…etc.

Here we can see the least common multiple of 3,4 & 9 is 36.

The least common multiple of 3,4 & 9 is 36.

**Page 10 Exercise 6 Answer**

Given :- number is 6,8,10 & 12

Find to the question the least common multiple of 6,8,10 &12

Multiples of 6 are 6,12,18,24,30,36…etc

Multiples of 8 are 8,16,24,32,40…etc.

Multiples of 10 are 10,20,30,40,50…etc.

Multiples of 12 are 12,24,36,48,60…etc.

Here we can see the least common factor of 6,8,10,12 is 120

The least common factor of 6,8,10 & 12 is 120.

**Page 10 Exercise 7 Answer**

Given:- pads of paper 4 to a box, pencils come 27 to a box, and erasers come 12 to a box.

Find:- What is the least number of kits that can be made with paper, pencils, and erasers Using least common multiple concepts?

Given,

Pads of paper 4 to a box, pencils come 27 to a box and erasers come 12 to a box.

We want to make kits that can be made with paper,pencils, and erasers so Least common multiple of 4,27 & 12 is 108

So we can make 108 kits with paper pencils and eraser.

We can make 108 kits with pencil, eraser, and paper.

**Go Math Answer Key**

- Go Math! Practice Fluency Workbook Grade 6 Chapter 1: Integers Exercise 1.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 1: Integers Exercise 1.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 1: Integers Exercise 1.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 2: Factors and Multiples Exercise 2.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 2: Factors and Multiples Exercise 2.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 3: Rational Numbers Exercise 3.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 3: Rational Numbers Exercise 3.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 3: Rational Numbers Exercise 3.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 4: Operations with Fractions Exercise 4.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 4: Operations with Fractions Exercise 4.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 4: Operations with Fractions Exercise 4.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 4: Operations with Fractions Exercise 4.4 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.4 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.5 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 8: Percents Exercise 8.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 8: Percents Exercise 8.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6 Chapter 8: Percents Exercise 8.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 6: Representing Ratios and Rates Exercise 6.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 6: Representing Ratios and Rates Exercise 6.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 6: Representing Ratios and Rates Exercise 6.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 7: Applying Ratios and Rates Exercise 7.1 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 7: Applying Ratios and Rates Exercise 7.2 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 7: Applying Ratios and Rates Exercise 7.3 Answer Key
- Go Math! Practice Fluency Workbook Grade 6, Chapter 7: Applying Ratios and Rates Exercise 7.4 Answer Key