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 3.1

NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.1 are the part of NCERT Solutions for Class 6 Maths (Rationalised Contents). Here you can find the 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 3.1 (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.

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