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Chapter 1:Knowing Our Number

Chapter 2:Whole Number

Chapter 3: Playing with Number

Chapter 4:Basic Gemetrical Idea

Chapter 5:Understanding Elementry Shapes

Chapter 6:Intergers

Chapter 7:Fraction

Chapter 8:Decimals

Chapter 9:Data Handling

Chapter 10:Mensuratin

Chapter 11:Algebra

Chapter 12:Ratio and Proportion

Chapter 13:Sysmmetry

NCERT Solutions For Class 6 Maths Chapter 3

Playing With Numbers

NCERT Solutions For Class 6 Maths Chapter 3 Exercise 3.1

Question 1
Write all the factors of the following numbers:
(a) 24       (b) 15    (c) 21    (d) 27   (e) 12    (f) 20    (g) 18     (h)23       (i) 36
Answer

(a) Factors of 24 are:
24 = 1 x 24 = 2 x 12 = 3 x 8 = 4 x 6
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12 and 24.
(b) Factors of 15 are:
15 = 1 x 15 = 3 x 5
All the factors of 15 are: 1, 3, 5 and 15.
(c) Factors of 21 are:
21 = 1 x 21 = 3 x 7
the factors of 21 are: 1, 3, 7 and 21. (d) Factors of 27 are:
27 = 1 x 27= 3 x 9.
The factors of 27 are: 1, 3, 9 and 27.
(e) Factors of 12 are:
12 = 1 x 12= 2 x 6= 3 x 4
The factors of 12 are: 1, 2, 3, 4, 6 and 12.

(f) Factors of 20 are:
20 = 1 x 20= 2 x 10= 4 x 5
The factors of 20 are: 1, 2, 4, 5, 10 and 20.
(g) Factors of 18 are:
18 = 1 x 18= 2 x 9= 3 x 6
The factors of 18 are: 1, 2, 3, 6, 9 and 18.
(h) Factors of 23 are:
23 = 1 x 23
The factors of prime number 23 are: 1 and 23.
(i) Factors of 36 are:
36 = 1 x 36= 2 x 18= 3 x 12= 4 x 9= 6 x 6 The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18 and 36.

Question 2
Write first five multiples of:
(a)5   (b) 8   (c) 9
Answer 2:
(a) First five multiples of 5 are:
5 x 1 = 5 ,5 x 2 = 10,5 x 3 = 15,5 x 4 = 20 ,5 x 5 = 25
multiples of 5 are: 5, 10, 15, 20 and 25.

(b) First five multiples of 8 are:
8 x 1 = 8 ,8 x 2 = 16 ,8 x 3 = 24 ,8×4 = 32 ,8 x 5 = 40
multiples of 8 are: 8, 16, 24, 32 and 40.

(c) First five multiples of 9 are:
9 x 1 = 9 ,9 x 2 = 18,9 x 3 = 27, 9 x 4 = 36 ,9 x 5 = 45
multiples of 9 are: 9,18, 27, 36 and 45

Question 3
Match the items in column I with the items in column II.

Column I
[i]   35
[ii]   35
[iii]   35
[iv]   35
[v]   35

Column II
[a] Multiple of 8
[b] Multiple of 7
[c] Multiple of 70
[d] Factor of 30
[e] Factor of 50
[f] Factor of 20

Answer 3

Column I
[i]   35
[ii]   15
[iii]   16
[iv]   20
[v]   25

Column II
[b] Multiple of 7
[d] Factor of 30
[a] Multiple of 8
[f] Factor of 20
[e] Factor of 50

Question 4
Find all the multiples of 9 upto 100.
Answer 3
the multiples of 9 upto 100 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99.