NCERT Solutions for Class 6 Maths Chapter 3: Playing With Numbers

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Jasmine Grover

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NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers deals with questions related to prime and composite numbers, factors, multiples, divisibility Rules, common factors, common multiples, prime factorization, HCF, and LCM Formula. A number is an arithmetical value, that is expressed through a word, figure, or symbol. The numbers can be written in single digits, double digits, and three digits or in the generalized form.

Download PDF: NCERT Solutions for Class 6 Maths Chapter 3


NCERT Solutions for Class 6 Maths Chapter 3

Class 6 Maths Chapter 3 NCERT Solutions can be accessed below – 

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Important Topics in Class 6 Maths Chapter 3 

Class 6 Maths Chapter 3 Playing With Numbers has a number of important concepts which are as given below – 

  • A number system is a system of writing or expressing numbers.

According to the number system, the different types of numbers are Prime numbers, Even numbers, Odd numbers, Whole numbers, Natural numbers, and Composite numbers.
  • The factor of a number is an exact divisor of that number. 

Example: 1, 2, 3, and 6 are all factors of the number 6.

  • Perfect Numbers: A number for which the sum of all its factors is equal to twice that number is known as a perfect number

Example: Factors of 28 can be identified as 1, 2, 4, 7, 14 and 28.

  • Multiples of a number are the numbers we get on multiplying a given number by any integer.

Each multiple of a number is either greater than or equal to that number

  • Prime Numbers are all the numbers other than 1 whose only factors are 1 and the number itself.
Example: 2, 3, 5, 7, 11, 13, etc.

NCERT Solutions For Class 6 Maths Chapter 3 Exercises:

The detailed solutions for all the NCERT Solutions for Knowing Our Numbers under different exercises are as follows:


Playing With Numbers – Related Topics:

CBSE Class 6 Mathematics Study Guides:

CBSE X Related Questions

  • 1.
    In the given figure, PA and PB are tangents to a circle centred at O. If \( \angle AOB = 130^\circ \), then \( \angle APB \) is equal to :

      • \( 130^\circ \)
      • \( 50^\circ \)
      • \( 120^\circ \)
      • \( 90^\circ \)

    • 2.
      In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


        • 3.
          In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


            • 4.
              In a class test, the sum of Anamika's marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.


                • 5.
                  The natural number 1 is :

                    • a prime number.
                    • a composite number.
                    • prime as well as composite.
                    • neither prime nor composite.

                  • 6.
                    In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

                      • \(2.5\) cm
                      • \(10.5\) cm
                      • \(3.5\) cm
                      • \(\frac{14}{3}\) cm

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