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Questions and Solutions for NCERT Class 6th Mathematics Chapter 3 – Playing with Numbers – Exercise 3.1
1. Write all the factors of the following numbers :
(a) 24
Sol: 24 = 1 × 24 = 2 × 12 = 3 × 8 = 4 × 6
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
(b) 15
Sol: 15 = 1 × 15 = 3 × 5
Factors of 15 are 1, 3, 5 and 15
(c) 21
Sol: 21 = 1 × 21 = 3 × 7
Factors of 21 are 1, 3, 7 and 21
(d) 27
Sol: 27 = 1 × 27 = 3 × 9
Factors of 27 are 1, 3, 9 and 27
(e) 12
Sol: 12 = 1 ×12 = 2 × 6 = 3 × 4
Factors of 12 are 1, 2, 3, 4, 6 and 12
(f) 20
Sol: 20 = 1 × 20 = 2 × 10 = 4 × 5
Factors of 20 are 1, 2, 4, 5, 10 and 20
(g) 18
Sol: 18 = 1 × 18 = 2 × 9 = 3 × 6
Factors of 18 are 1, 2, 3, 6, 9 and 18
(h) 23
Sol: 23 = 1 × 23
Factors of 23 are 1 and 23
(i) 36
Sol: 36 = 1 × 36 = 2 × 18 = 3 × 12 = 4 × 9 = 6 × 6
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36
2. Write first five multiples of :
(a) 5
Sol: First five multiples of 5 are 5, 10, 15, 20 and 25
5 × 1 = 5, 5 × 2 = 10, 5 × 3 = 15, 5 × 4 = 20, 5 × 5 = 25
(b) 8
Sol: First five multiples of 8 are 8, 16, 24, 32 and 40
8 × 1 = 8, 8 × 2 = 16, 8 × 3 = 24, 8 × 4 = 32, 8 × 5 = 40
(c) 9
Ans : First five multiples of 9 are 9, 18, 27, 36 and 45
9 × 1 = 9, 9 × 2 = 18, 9 × 3 = 27, 9 × 4 = 36, 9 × 5 = 45
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
Ans: (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.
Sol: 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
Multiples of 9 upto 100 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99
