## NCERT Solutions for Class 6 Maths Chapter 3 - Playing with Numbers

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Q1. What is there in NCERT class 6 Maths Chapter 3?

Ans: The NCERT solution for Class 6 Maths Chapter 3 covers the importance of understanding the factors and multiples of numbers. The chapter elaborates different aspects of the subject matter. This includes various examples such as understanding the laws of divisibility, prime numbers, composite numbers, prime factors, LCM, HCF, common factors and common multiples.

The unique examples present in this chapter will allow the student to get a better grasp over numbers. Understanding how every number is a factor and multiple is also necessary as well as how prime factors when multiplied form the original number. The main highlight of this chapter is HCF and LCM, questions on which mostly appear in examinations.

Q2. Why avail the Chapter 3 Maths Class 6 NCERT Solutions?

Ans: The Class 6 Maths NCERT Chapter 3 solutions available on Vedantu should be referred by students. The reason for that is that these solutions consist of to-the-point answers that help students understand better. The examples have been framed from simple to advanced so that the student doesn’t face problems while understanding them.

Playing with NumbersClass 6 CBSE is a chapter that has been constructed to help students focus their minds on understanding and developing their basic knowledge of numbers. The solution will help the student to clear their doubt related to the subject of numbers. Understand your numbers without any problem with solutions framed by Vedantu that help you clear your examinations without any problems.

Q3. What is the difference between Factors and Multiples?

Ans: One or more numbers that can divide a certain number without leaving a remainder is called a factor. For example 6 x 5 = 30. Here, 6 and 5 are the factors of 30. A multiple is a number that may be divided by another number without leaving a remainder in a specified number of times. For example: 3 x 5= 15. Here, 15 is a multiple of 3 and 5.

Q4. Explain Prime and Composite numbers?

Ans: A prime number is a whole number that comprises only two divisors, which are 1 and itself. For example 2, 3, 5, 7, 11, 13, etc. (1 is not a prime number because it has only one divisor). A composite number is a whole number that comprises two or more divisors.

For example:

4 = 1,2 and 4 are the divisors.

10= 1, 2, 5, and 10 are the divisors.

Q5. Why is Class 6 Maths Chapter 3 important for higher studies?

Ans: Class 6 Maths Chapter 3 'Playing With Numbers' is crucial for higher classes since it contains various key topics or concepts that are important for future classes. If you master the topics like prime and composite numbers, factors and multiples, divisibility tests, HCF, and LCM, it will strengthen your roots in Maths and will make it easy for you to apply these concepts at higher levels. For better understanding, utilise the Vedantu Mobile app. The solutions provided are free of cost.

Q6. How can I improve the basic concepts of Chapter 3?

Ans: Strengthening basic concepts is critical for students, and they should not overlook them at any cost. Chapter 3 of Class 6 Maths is overflowing with topics and students should pay close attention. These fundamental concepts will benefit you not only this year but also in future classes. Hence, one should focus on grasping these topics and practising them regularly. You can visit Vedantu and get more study materials for the same.

Q7. How many exercises are there in Chapter 3?

Ans: There is a total of 10 exercises in Class 6 Maths Chapter 3:

### 3.1 – Introduction

### 3.2 – Factors and Multiples

### 3.3 – Prime and Composite Numbers

### 3.4 – Tests for Divisibility of Numbers

### 3.5 – Common Factors and Common Multiples

### 3.6 – Some More Divisibility Rules

### 3.7 – Prime Factorization

### 3.8 – Highest Common Factor

### 3.9 – Lowest Common Factor

### 3.10 – Problems of HCF and LCM.