NCERT Solutions for Class 6 Maths Chapter 3 - Playing with Numbers Exercise 3.3

NCERT Solutions

Class 6

Maths

Chapter 3 Number Play Exercise 3.3

NCERT Solutions for Class 6 Maths 3.3 Exercise Chapter 3 Playing with Numbers - FREE PDF Download

The Class 6 Maths Exercise 3.3 Solutions focuses on prime and composite numbers, helping students understand how to identify and differentiate them. Additionally, it introduces concepts like factors and multiples, which are essential for solving various mathematical problems. Through Class 6 Maths 3.3 Exercise, students learn to apply these concepts, enhancing their problem-solving skills and building a strong foundation in number theory. Students can access The Class 6 Maths NCERT Solutions from our page which is prepared in such a way that you can understand it easily.

Table of Content

1. NCERT Solutions for Class 6 Maths 3.3 Exercise Chapter 3 Playing with Numbers - FREE PDF Download

2. Glance on NCERT Solutions Maths Chapter 3 Exercise 3.3 Class 6 | Vedantu

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

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 include shortcut techniques for studying every subject, which not only makes learning interesting but also helps to prepare students for their exams. Also, these solutions are easily available online free of cost in PDF format, which is easily accessible by anyone and from anywhere. Access the Class 6 Maths Syllabus here.

Glance on NCERT Solutions Maths Chapter 3 Exercise 3.3 Class 6 | Vedantu

The Class 6 Maths Chapter 3 Exercise 3.3 Solution covers the topic - Tests for Divisibility of Numbers.
In Class 6 Maths Exercise 3.3 Solutions the topic - Tests for Divisibility of Numbers is a concept that helps you quickly determine if a number is divisible by another number (like 2, 3, 5, 6, 9, or 11) without performing actual division.
Divisibility by 2: The last digit of the number must be even (0, 2, 4, 6, or 8).
Divisibility by 3: The sum of all the digits of the number must be divisible by 3.
Divisibility by 6: The number must be divisible by both 2 and 3 (i.e., even the last digit and sum of digits are divisible by 3).
Divisibility by 9: The sum of all the digits of the number must be divisible by 9 (a stricter rule than divisibility by 3).
Divisibility by 11: A divisibility rule based on alternating sum of digits. Add the digits at odd places (from the right) and subtract the sum of digits at even places. If the difference is either 0 or divisible by 11, the number is divisible by 11.
Class 6 Maths Exercise 3.3 Solutions contains 6 solved Questions.

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

Exercise 3.3

1. Using the divisibility test, determine which of the following numbers are divisible by \[\mathrm{2}\]; by \[\mathrm{3}\]; by \[\mathrm{4}\]; by \[\mathrm{5}\]; by \[\mathrm{6}\]; by \[\mathrm{8}\]; by \[\mathrm{9}\]; by \[\mathrm{10}\] ; by \[\mathrm{11}\]. (Say yes or no).

Number	Divisible by
	\[\mathrm{2}\]	\[\mathrm{3}\]	\[\mathrm{4}\]	\[\mathrm{5}\]	\[\mathrm{6}\]	\[\mathrm{8}\]	\[\mathrm{9}\]	\[\mathrm{10}\]	\[\mathrm{11}\]
\[\mathrm{128}\]	Yes	No	Yes	No	No	Yes	No	No	No
\[\mathrm{990}\]
\[\mathrm{1586}\]
\[\mathrm{275}\]
\[\mathrm{6686}\]
\[\mathrm{639210}\]
\[\mathrm{429714}\]
\[\mathrm{2856}\]
\[\mathrm{3060}\]
\[\mathrm{406839}\]

Ans:

Number	Divisible by
	\[\mathrm{2}\]	\[\mathrm{3}\]	\[\mathrm{4}\]	\[\mathrm{5}\]	\[\mathrm{6}\]	\[\mathrm{8}\]	\[\mathrm{9}\]	\[\mathrm{10}\]	\[\mathrm{11}\]
\[\mathrm{128}\]	Yes	No	Yes	No	No	Yes	No	No	No
\[\mathrm{990}\]	Yes	Yes	No	Yes	Yes	No	Yes	Yes	Yes
\[\mathrm{1586}\]	Yes	No	No	No	No	No	No	No	No
\[\mathrm{275}\]	No	No	No	Yes	No	No	No	No	Yes
\[\mathrm{6686}\]	Yes	No	No	No	No	No	No	No	No
\[\mathrm{639210}\]	Yes	Yes	No	Yes	Yes	No	No	Yes	Yes
\[\mathrm{429714}\]	Yes	Yes	No	No	Yes	No	Yes	No	No
\[\mathrm{2856}\]	Yes	Yes	Yes	No	Yes	Yes	No	No	No
\[\mathrm{3060}\]	Yes	Yes	Yes	Yes	Yes	No	Yes	Yes	No
\[\mathrm{406839}\]	No	Yes	No	No	No	No	No	No	No

2. Using the divisibility test, determine which of the following numbers are divisible by \[\mathrm{4}\]; by \[\mathrm{8}\].

(a) \[\mathrm{572}\]