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Chapter 3: Playing With Numbers

    Introduction

    Factors and Multiples

    Prime and Composite Numbers

    Even and Odd numbers

    Tests for Divisibility of Numbers

    Prime Factorisation

    Common Factors and Common Multiples

    Exercise 3.1

    Exercise 3.2

    Exercise 3.3

    Exercise 3.4

    Exercise 3.5

    Exercise 3.6

    Exercise 3.7

    What Have We Discussed?

    Enhanced Curriculum Support

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Chapter 3: Playing With Numbers > Exercise 3.4

Exercise 3.4

1. Find the HCF of the following numbers by prime factorisation and continued division method?

(i) 18, 27, 36 (ii) 106, 159, 265

(iii) 10, 35, 40 (iv) 32, 64, 96, 128

2. Find the largest number which is a factor of each of the numbers 504, 792 and 1080?

3. The length, breadth and height of a room are 12m, 15m and 18m respectively. Determine the length of longest stick that can measure all the dimensions of the room in exact number of times ?

4. HCF of co-prime numbers 4 and 15 was found as follows by factorisation: 4 = 2 x 2 and 15 = 3 x 5 Since there is no common prime factor, HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

5. What is the capacity of the largest vessel which can empty the oil from three vessels containing 32 litres, 24 litres and 48 litres an exact number of times?