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# NCERT Solutions for Class 6 Maths Chapter 3 - Playing With Numbers Exercise 3.2

Last updated date: 12th Aug 2024
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## NCERT Solutions for Maths Chapter 3 Playing With Numbers Exercise 3.2 Class 6 - FREE PDF Download

In this exercise, Students will focus on understanding prime and composite numbers. Ex 3.2 Class 6 specifically helps students identify prime and composite numbers, understand their properties, and apply this knowledge to solve various problems. By working through these problems, we will strengthen our ability to distinguish between prime and composite numbers, a fundamental mathematics skill. Students can access the revised Class 6 Maths NCERT Solutions from our page, which is prepared so that you can understand it easily.

Table of Content
1. NCERT Solutions for Maths Chapter 3 Playing With Numbers Exercise 3.2 Class 6 - FREE PDF Download
2. Glance on NCERT Solutions Maths Chapter 3 Exercise 3.2 Class 6| Vedantu
3. Access NCERT Solutions for Maths Class 6 Chapter 3 - Playing With Numbers
3.1Exercise 3.2
4. Class 6 Maths Chapter 3: Exercises Breakdown
5. CBSE Class 6 Maths Chapter 3 Other Study Materials
6. Chapter-Specific NCERT Solutions for Class 6 Maths
FAQs

These solutions are aligned with the updated CBSE guidelines for Class 6, ensuring students are well-prepared for exams. The Class 6 Ex 3.2 Questions and Answers PDF provides accurate answers to textbook questions and assists in effective exam preparation and better performance. Access the CBSE Class 6 Maths Syllabus here.

## Glance on NCERT Solutions Maths Chapter 3 Exercise 3.2 Class 6| Vedantu

• NCERT Solution for Class 6 Chapter 3 focuses on the topic of Prime and Composite Numbers.

• Prime Numbers - They are a special kind of number that can only be divided exactly by two numbers: 1 and itself. These champions are called prime numbers! They're like the indivisible atoms of the number universe. For example, 2, 3, 5, and 7 are all prime numbers.

• Composite Numbers: are those which can be divided exactly by more than two numbers (including 1 and itself). These are called composite numbers. For example, 6 can be divided by 1, 2, 3, and 6.

• Finding Factors: Students will master the skill of finding factors, which are the numbers that divide another number exactly.

• Prime factorisation is a cool technique that breaks down a composite number into its prime building blocks.

• Ex 3.2 Class 6 contains 12 fully solved Questions and Solutions.

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

### Exercise 3.2

1. What is the sum of any two:

a) Odd numbers.

Ans:

Let us take an example $1+3=4$. Thus, we can say that the sum of any two

odd numbers is an even number.

b) Even numbers.

Ans:

Let us take an example $2+4=6$. Thus, we can say that the sum of any two

even numbers is an even number.

2. State whether the following statements are true or false:

a) The sum of three odd numbers is even.

Ans:

Let us check by taking an example: $1+3+5=9$. So, the given statement is

false.

b) The sum of two odd numbers and one even number is even.

Ans:

Let us check by taking an example: $1+3+2=6$. So, the given statement is

true.

c) The product of three odd numbers is odd.

Ans:

Let us check by taking an example: $1\times 3\times 5=15$. So, the given

statement is true.

d) If an even number is divided by $\mathrm{2}$, the quotient is always odd.

Ans:

Let us check by taking an example: $\frac{4}{2}=2$. So, the given statement

is false.

e) All prime numbers are odd.

Ans:

$\text{2}$ is prime and even. So the given statement is false.

f) Prime numbers do not have any factors.

Ans:

$2\times 1=2$, here $2$ is prime and having $1,2$ but having $2,1$ as

factors. So, the given statement is false.

g) The Sum of two prime numbers is always even.

Ans:

Let us check by taking an example: $2+6=8$. So, the given statement is true.

h) $\mathrm{2}$ is the only even prime number.

Ans:

The given statement is true.

i) All even numbers are composite numbers.

Ans:

Given statement is false because $\text{2}$ is an even prime number.

j) The product of two even numbers is always even.

Ans:

Let us check by taking an example: $2\times 6=12$. So, the given statement

is true.

k)  The numbers $\mathrm{13}$ and $\mathrm{31}$ are primenumbers.Both these numbers have the same digits $\mathrm{1}$ and $\mathrm{3}$. Find such pairs of prime numbers up to $\mathrm{100}$.

Ans: $\text{17}$ and $\text{71}$; $37$ and $73$; $79$ and $97$.

3. The numbers 13 and 31 are prime numbers. Both these numbers have the same digits 1 and 3. Find such pairs of prime numbers up to 100.

Ans:

The following are the prime numbers up to 100 that have the same digits:

17 and 71

37 and 73

79 and 97

4. Write down separately the prime and composite numbers less than $\mathrm{20}$.

Ans:

Prime numbers less than $\text{20}$ are $\text{2,3,5,7,11,13,17,19}$.

Composite numbers less than $\text{20}$ are $\text{4,6,8,9,10,12,14,15,16,18}$.

5. What is the greatest prime number between $\mathrm{1}$ and $\mathrm{10}$?

Ans: The greatest prime number below $\text{10}$ is $\text{7}$.

6. Express the following as the sum of two odd numbers:

a) $\mathrm{44}$

Ans:

We can write $\text{44}$ as $\text{3+41}$ which is the sum of two odd

numbers.

b) $\mathrm{36}$

Ans:

We can write $36$ as $\text{3+33}$ which is the sum of two odd numbers.

c) $\mathrm{24}$

Ans:

We can write $24$ as $\text{1+23}$ which is the sum of two odd numbers.

d) $\mathrm{18}$

Ans:

We can write $18$ as $\text{1+17}$ which is the sum of two odd numbers.

7. Give three pairs of prime numbers whose difference is $\mathrm{2}$. (Remark: Two prime numbers whose difference is $\mathrm{2}$ are called twin primes.)

Ans:

$\text{1,3}$,$\text{3,5}$ and $\text{5,7}$ are twin primes because their respective differences are $\text{2}$.

8. Which of the following numbers are prime:

a) $\mathrm{23}$

Ans:

$\text{23}$ is a prime number because it has no factors rather than

$\text{1,23}$.

b) $\mathrm{51}$

Ans:

$51$ is a prime number because it has no factors rather than $\text{1,51}$.

c) $\mathrm{37}$

Ans:

$37$ is a prime number because it has no factors rather than $\text{1,37}$.

d) $\mathrm{26}$

Ans:

$26$ is not a prime number because it has factors more than $\text{1,26}$.

9. Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

Ans:

$90,91,92,93,94,95,96$ are the only seven consecutive numbers less than $100$.

10. Express each of the following numbers as the sum of three odd primes:

a) $\mathrm{21}$

Ans:

$\text{17+3+1}$ is the sum for $\text{21}$ expressed in sum of $\text{3}$

odd numbers.

b) $\mathrm{31}$

Ans:

$\text{27+3+1}$ is the sum for $31$ expressed in sum of $\text{3}$ odd

numbers.

c) $\mathrm{53}$

Ans:

$\text{49+3+1}$ is the sum for $53$ expressed in sum of $\text{3}$ odd

numbers.

d) $\mathrm{61}$

Ans:

$\text{57+3+1}$ is the sum for $61$ expressed in sum of $\text{3}$ odd

numbers.

11. Write five pairs of prime numbers less than $\mathrm{20}$ whose sum is divisible by $\mathrm{5}$.

Ans:

$\text{3+7=10}$,$7+13=20$,$2+3=5$,$3+17=20$ and $5+5=10$.

Thus, $3,7$; $7,13$; $2,3$; $3,17$; $5,5$ are the five pairs of numbers less than $20$ whose sum is divisible by $5$.

12. Fill in the blanks:

a) A number that has only two factors is called a ………..

Ans: Prime number.

b) A number that has more than two factors is called a ……….

Ans: Composite number.

c) $\mathrm{1}$ neither ………. nor …………….

Ans: Prime nor a composite number.

d) The smallest prime number is …………….

Ans: $\text{2}$ is the smallest prime number.

e) The smallest composite number is …………...

Ans: $4$ is the smallest composite number.

f) The smallest even number is …………...

Ans: $2$ is the smallest even number.

## Conclusion

In conclusion, Ex 3.2 Class 6 Maths NCERT Solutions has provided a solid understanding of prime and composite numbers. We have learned how to identify these numbers and recognize their unique properties. Understanding these concepts is crucial for building a strong foundation in mathematics, as they play a key role in various mathematical operations and problem-solving techniques. By completing class 6 maths ex 3.2, students will be well-prepared to tackle more complex mathematical challenges with confidence. Keep practising to enhance your number skills and deepen your understanding of prime and composite numbers.

## Class 6 Maths Chapter 3: Exercises Breakdown

 Exercise Number of Questions Exercise 3.1 4 Questions & Solutions Exercise 3.3 6 Questions & Solutions Exercise 3.4 7 Questions & Solutions Exercise 3.5 10 Questions & Solutions Exercise 3.6 3 Questions & Solutions Exercise 3.7 11 Questions & Solutions

## CBSE Class 6 Maths Chapter 3 Other Study Materials

 S.No. Important Links for Chapter 3 Playing with Numbers 1 Class 6 Playing with Numbers Important Questions 2 Class 6 Playing with Numbers Revision Notes 3 Class 6 Playing with Numbers Important Formulas 5 Class 6 Playing with Numbers RD Sharma Solutions

## Chapter-Specific NCERT Solutions for Class 6 Maths

Given below are the chapter-wise NCERT Solutions for Class 6 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

## FAQs on NCERT Solutions for Class 6 Maths Chapter 3 - Playing With Numbers Exercise 3.2

1. What are prime numbers in Class 6 Ex 3.2?

Prime numbers are numbers greater than 1 that have only two factors: 1 and the number itself. Examples include 2, 3, 5, and 7.

2. What are composite numbers in Ex 3.2 Class 6 Maths NCERT Solutions?

Composite numbers are numbers greater than 1 that have more than two factors. Examples include 4, 6, 8, and 9.

3. How can I identify a prime number according to Class 6 Ex 3.2?

To identify a prime number, check if it has no other factors apart from 1 and itself. If it has additional factors, it is not a prime number.

4. How can I identify a composite number in class 6 maths ex 3.2?

A composite number has more than two factors. For example, 12 is composite because its factors are 1, 2, 3, 4, 6, and 12.

5. Is 1 a prime or composite number?

The number 1 is neither prime nor composite. It has only one factor, which is itself.

6. Why is 2 considered a prime number answer it according to class 6 maths ch 3 ex 3.2?

The number 2 is a prime number because it has only two factors: 1 and 2. It is also the only even prime number.

7. What is the smallest composite number?

The smallest composite number is 4. Its factors are 1, 2, and 4.

8. Can a prime number be even?

Yes, As we studied in class 6 maths ch 3 ex 3.2, the number 2 is the only prime number. All other even numbers are composite because they have at least three factors: 1, 2, and the number itself.

9. What are some examples of prime numbers between 10 and 20?

Prime numbers between 10 and 20 include 11, 13, 17, and 19.

10. How can I find the prime numbers within a given range in Ex 3.2 Class 6?

To find prime numbers within a range, list the numbers and check each one for factors. Eliminate any number that has more than two factors. The remaining numbers are prime.