Chapter - 3 - EXERCISE 3.1 - Playing with Numbers (NCERT Class 6th Maths Solution)

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

Solution/Explanation:

(a) 24 = 1 x 24 = 2 x 12 = 3 x 8 = 4 x 6 = 6 x 4
ˆ´ Factors of 24= 1,2,3,4,6,12,24

(b) 15=1 x 15 = 3 x 5 = 5 x 3
ˆ´ Factors of 15 = 1, 3, 5, 15

(c) 21=1 x 21 = 3 x 7 = 7 x 3
ˆ´ Factors of 21 = 1, 3, 7, 21

(d) 27= 1 x 27 = 3 x 9 = 9 x3
ˆ´ Factors of 27 = 1, 3, 9, 27

(e) 12 = 1 x 12 = 2 x 6 = 3 x 4 = 4 x 3
ˆ´ Factors of 12 = 1, 2, 3, 4, 6, 12

(f) 20=1 x 20 = 2 x 10 = 4 x 5 = 5 x 4
ˆ´ Factors of 20 = 1, 2, 4, 5, 10, 20

(g) 18=1 x 18 = 2 x 9 = 3 x
ˆ´Factors of 18 = 1, 2, 3, 6, 9, 18

(h) 23=1 x 23
ˆ´Factors of 23 = 1, 23

(i) 36== 1 x 36 = 2 x 18 = 3 x 12 = 4 x 9 = 6 x6
ˆ´ Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

 2. Write first five multiples of : 
(a) 5           (b) 8             (c) 9 
Solution/Explanation:


a)5*2=10
5*3=15
5*4=20
5*5=25
5*6=30

b)8*2=16
8*3=24
8*4=32
8*5=40
8*6=48

c)9*2=18
9*3=27
9*4=36
9*5=45
9*6=54.

 3. Match the items in column 1 with the items in column 2.
Column 1                                             Column 2
(i) 35                                                   (a) Multiple of 8
(ii) 15                                                  (b) Multiple of 7
(iii) 16                                                 (c) Multiple of 70
(iv) 20                                                 (d) Factor of 30
(v) 25                                                  (e) Factor of 50
                                                            (f) Factor of 20
Solution/Explanation:


If a number is an exact divisor of that number then it is called a factor and a multiple of a number is that number multiplied by an integer.


The correct matching are shown in the below table.

Column 1Column 2
(i) 35(b) Multiple of 7
(ii) 15(d) Factor of 30
(iii) 16(a) Multiple of 8
(iv) 20(f) Factor of 20
(v) 25(e) Factor of 50


4. Find all the multiples of 9 upto 100.

Solution/Explanation:

All multiples of 9 are= 9,18,27,36,45,54,63,72,81,90,99.

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