Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 3 Playing With Numbers Ex 3.1 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 6 Maths Chapter 3 Playing With Numbers Ex 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

Solution:

(a) 24

Since, 24 = 1 x 24

24 = 2 x 12

24 = 3 x 8

24 = 4 x 6

All the factors of 24 are: 1, 2, 3, 4, 6, 8, 12 and 24.

(b) 15

Since, 15 = 1 x 15

15 = 3 x 5

All the factors of 15 are: 1, 3, 5 and 15.

(c) 21

Since, 21 = 1 x 21

21 = 3 x 7

All the factors of 21 are: 1, 3, 7 and 21.

(d) 27

Since, 27 = 1 x 27

27 = 3 x 9

All the factors of 27 are: 1, 3, 9 and 27.

(e) 12

Since, 12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

All the factors of 12 are: 1, 2, 3, 4, 6 and 12.

(f) 20

Since, 20 = 1 x 20

20 = 2 x 10

20 = 4 x 5

All the factors of 20 are: 1, 2, 4, 5, 10 and 20.

(g) 18

Since, 18 = 1 x 18

18 = 2 x 9

18 = 3 x 6

The factors of 18 are: 1, 2, 3, 6, 9 and 18.

(h) 23

Since, 23 = 1 x 23

All the factors of 23 are: 1 and 23.

(i) 36

Since, 36 = 1 x 36

36 = 2 x 18

36 =3 x 12

36 = 49

36 = 6 x 6

All 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

Solution:

(a) 5

Since, 5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

The first five multiples of 5 are: 5, 10, 15, 20 and 25.

(b) 8

Since, 8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

The first five multiples of 8 are: 8, 16, 24, 32 and 40.

(c) 9

Since, 9 x 1 = 9

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

9 x 5 = 45

The first five multiples of 9 are: 9, 18, 27, 36 and 45.

Question 3.

Match the items in column 1 with the items in column 2.

Solution:

(i) → (b) ( 7 x 5 = 35)

(ii) → (d) (15 x 2 = 30)

(iii) → (a) (8 x 2 = 16)

(iv) → (f) (20 x 1 = 20)

(v) → (e) (25 x 2 = 50)

Question 4.

Find all the multiples of 9 upto 100.

Solution:

Since, 9 x 1 = 9

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

9 x 5 = 45

9 x 6 = 54

9 x 7 = 63

9 x 8 = 72

9 x 9 = 81

9 x 10 = 90

9 x 11 = 99

All the multiples of 9 upto 100 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99.