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RD Sharma Class 6 Solutions Chapter 2 - Playing with Numbers - Exercise 2.8

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Last updated date: 23rd Apr 2024
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RD Sharma Class 6 Solutions Chapter 2 - Playing with Numbers (Ex 2.8) Exercise 2.8 - Free PDF

‘Playing with Numbers’ is the second chapter of RD Sharma Class 6 Maths. The chapter helps the students to study topics such as factors, divisors, and multiples of numbers and how to identify them. Students also learn to determine if the number is prime or composite with the help of its factors. Students learn about the Least common multiple (LCM) and Highest Common Factor (HCF) of numbers.


Playing with numbers includes activities like arranging the numbers, understanding the BODMAS rule, properties of factors and multiples, divisibility rules from 2 to 11, and so on.  

Sections of Chapter 2- Playing with Numbers

  1. Introduction

  2. Factors and Multiples

  3. Perfect Number

  4. Prime and Composite Numbers

  5. Tests for Divisibility

  6. Common Factors and Common Multiples

  7. Some More Divisibility Rules

  8. Prime Factorisation

  9. Highest Common Factor

  10. Lowest Common Factor

  11. Some Problems on HCF and LCM


List of Exercises in Chapter 2- Playing with Numbers

Exercise no

Page No

2.1

2.5

2.2

2.7

2.3

2.10

2.4

2.15

2.5

2.20

2.6

2.24

2.7

2.27

2.8

2.31

2.9

2.34

2.10

2.37

2.11

2.40

Objective Type Questions

2.40

CCE Chapter Test 1,2

2.42


Some Important Terms in RD Sharma Chapter 2- Playing with Numbers

Factors- A factor of a number or an algebraic expression that divides another number of expressions evenly with no remainder. In simpler terms, A factor of a number is an exact division of that number. 


Example- Factors of 12 are 1,2.3,4,6, and 12


Multiples- A multiple is a number that you get by multiplying a certain number with an integer. In simpler terms, Multiple of a number is a number obtained by multiplying it to a natural number. 


Example- Multiple of 4 are 4,8,13,16,20,24,28…..


Prime Numbers- Prime numbers are the ones that have only 2 factors- 1 and the number itself. 


Example- 2,3,5,7,11,13,17,19….


Composite Numbers- Composite Numbers are the ones that have more than 2 factors. They are the opposite of Prime Numbers.


Example- 4,6,8,9,10,12,14….


HCF- The HCF of two or more factors is the highest common factor of the given numbers. 


LCF- The LCF of two or more numbers is the smallest number among all common multiples of the given numbers. 


Free PDF download of RD Sharma Class 6 Solutions Chapter 2 - Playing with Numbers Exercise 2.8 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 2 - Playing with Numbers Ex 2.8 Questions with Solutions for RD Sharma Class 6 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams. You can also register Online for NCERT Solutions Class 6 Science tuition on Vedantu.com to score more marks in your examination. Vedantu’s RD Sharma solution helps you cover all the important formulas regarding Chapter 2. 


Download Vedantu CBSE NCERT Solutions to get a better understanding of all the exercises questions.

FAQs on RD Sharma Class 6 Solutions Chapter 2 - Playing with Numbers - Exercise 2.8

1. What are the important questions in Class 6 Chapter Playing with Numbers?

If students are looking for important questions they can check out Vedantu’s CBSE important questions for Chapter Playing with Numbers. Vedantu has provided important questions for CBSE Students with solutions. Students can also download the pdf if they wish to study offline and can have access to pdf anytime or anywhere. Class 6 important questions talk about concepts of multiples, divisors, factors, LCM, and HCF. 

2. What are the properties of factors and multiples?

Some important points to learn about factors and multiples are-

  • Every number is a factor itself.

  • Every factor of a number is less than or equal to the number.

  • Every factor of a number is an exact divisor of that number.

  • Factors of a given number are finite.

  • Every number is a multiple itself.

  • The number of multiples of a given number is infinite.

  • Every multiple of a number is greater than or equal to that number.

3. How are solved questions helpful in CBSE Class 6 Maths?

RD Sharma solutions help the students to clear their concepts to the core. Solved questions help the students to refer to if they are not able to answer any question. It also helps the students to learn the methodological ways to write answers and how much in an answer it is sufficient to write. Therefore, solved questions are very helpful for students. Instead of just cramming the solved answers, students should solve the answers first on their own and then should cross-check with the solved answers and determine where they went wrong. 

4. Is RD Sharma’s book more helpful for competitive exams or for boards?

RD Sharma is mainly designed for competitive exams as it has questions of intermediate level as well. It also has critical thinking questions which help the students to prepare for higher-level exams. All the concepts are explained in-depth in RD Sharma’s book, if the students are aiming to go for higher-level competitive exams, they should definitely go for RD Sharma.

5. How to prepare yourself effectively for an exam?

It is very important for the students to complete the syllabus first and another important part is utilizing the time. Students should start preparing from the very first day instead of cramming everything up in just one day. Students should make notes or refer to Vedantu’s notes in order to understand every topic and memorize it. Referring to Vedantu’s notes will be of great help as the revision notes are designed in such a way that is very easy to understand and in simple language.