In this class 6 maths, we are going to learn the chapter playing with numbers from the exercise-3 this helps the students to prepare well for the exam and score good marks in maths examination. This chapter discusses the concepts of multiples, divisors, factors, and how to identify factors and multiples along with HCF and LCM. Solving the textual problems that present in this chapter will help you to understand the various topics related to numbers in an easy way.
Exercise 3:
1. Write all a factors of the following numbers:
(a) 24
solution –
24 = 1 × 24
24 = 2 × 12
24 = 3 × 8
24 = 4 × 6
24 = 6 × 4
Stop here since we have 4 and 6 occurred earlier
Hence proved, the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Solve the examples which are given below
(b) 15
(c) 21
2. Write first five multiples of:
(a) 5
Solutions:
(a) The required multiples are:
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
5 × 4 = 20
5 × 5 = 25
Hence proved, the first five multiples of 5 are 5, 10, 15, 20 and 25
Solve the examples which are given below
(b) 8
(c) 9
3. Finding all multiples of 9 upto 100.
Solutions:
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
∴ All this are multiples of 9 upto 100 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99
4. Match following items in column 1 with 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
Solutions:
(i) 35 is a multiple of 7
Hence, option (b)
(ii) 15 is a factor of 30
Hence, option (d)
(iii) 16 is a multiple of 8
Hence, option (a)
(iv) 20 is a factor of 20
Hence, option (f)
(v) 25 is a factor of 50
Hence, option (e)
Conclusion:
So we have completed learning this exercise 3 from the chapter playing with numbers. you will see in the next coming class in detail about this topic.