**NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.1****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.2****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.3****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.4****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.6****NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.7**

**NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.1 (Rationalised Contents)**

**Ex 3.1 Class 6 Maths 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) Factors of 24:

24 = 1 × 24;

24 = 2 × 12;

24 = 3 × 8;

24 = 4 × 6

Hence, all the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

(b) Factors of 15:

15 = 1 × 15;

15 = 3 × 5

Hence, all the factors of 15 are 1, 3, 5 and 15.

(c) Factors of 21:

21 = 1 × 21;

21 = 3 × 7

Hence, all the factors of 21 are 1, 3, 7 and 21.

(d) Factors of 27:

27 = 1 × 27;

27 = 3 × 9.

Hence, all the factors of 27 are 1, 3, 9 and 27.

(e) Factors of 12:

12 = 1 × 12;

12 = 2 × 6;

12 = 3 × 4

Hence, all the factors of 12 are 1, 2, 3, 4, 6 and 12.

(f) Factors of 20:

20 = 1 × 20;

20 = 2 × 10;

20 = 4 × 5

Hence, all the factors of 20 are 1, 2, 4, 5, 10 and 20.

(g) Factors of 18:

18 = 1 × 18;

18 = 2 × 9;

18 = 3 × 6

Hence, all the factors of 18 are 1, 2, 3, 6, 9 and 18.

(h) Factors of 23:

23 = 1 × 23

Hence, all the factors of prime number 23 are 1 and 23.

(i) Factors of 36:

36 = 1 × 36;

36 = 2 × 18;

36 = 3 × 12;

36 = 4 × 9;

36 = 6 × 6

Hence, all the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18 and 36.

**Ex 3.1 Class 6 Maths Question
2.**

Write first five multiples of:(a) 5 (b) 8 (c) 9

**Solution:
**(a) First five multiples of 5 are:

5 × 1 = 5;

5 × 2 = 10;

5 × 3 = 15;

5 × 4 = 20;

5 × 5 = 25

Hence, the first five multiples of 5 are 5, 10, 15, 20 and 25.

(b) First five multiples of 8 are:

8 × 1 = 8;

8 × 2 = 16;

8 × 3 = 24;

8 × 4 = 32;

8 × 5 = 40

Hence, the first five multiples of 8 are 8, 16, 24, 32 and 40.

(c) First five multiples of 9 are:

9 × 1 = 9;

9 × 2 = 18;

9 × 3 = 27;

9 × 4 = 36;

9 × 5 = 45

Hence, the first five multiples of 9 are 9, 18, 27, 36 and 45.

**Ex 3.1 Class 6 Maths Question
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:
**(i) ↔ (b) [∵ 7 × 5 = 35]

(ii) ↔ (d) [∵ 15 × 2 = 30]

(iii) ↔ (a) [∵ 8 × 2 = 16]

(iv) ↔ (f) [∵ 20 × 1 = 20]

(v) ↔ (e) [∵ 25 × 2 = 50]

**Ex 3.1 Class 6 Maths Question
4.**

Find all the multiples of 9 up to 100.**Solution:
**Multiples of 9:

9 × 1 = 9;

9 × 2 = 18;

9 × 3 = 27;

9 × 4 = 36;

9 × 5 = 45;

9 × 6 = 54;

9 × 7 = 63;

9 × 8 = 72;

9 × 9 = 81;

9 × 10 = 90;

9 × 11 = 99

Hence, all the multiples of 9 up to 100 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99.

**Related Links:**

**NCERT Solutions for Maths Class 7**

**NCERT Solutions for Maths Class 8**

**NCERT Solutions for Maths Class 9**

**NCERT Solutions for Maths Class 10**