NCERT Book Class 6 Maths Chapter 3 Playing With Numbers

Playing with
Numbers

Chapter 3
3.1 Introduction
Ramesh has 6 marbles with him. He wants to arrange them in rows in such a way
that each row has the same number of marbles. He arranges them in the following
ways and matches the total number of marbles.
(i) 1 marble in each row
Number of rows =6
Total number of marbles = 1 × 6 = 6

(ii) 2 marbles in each row
Number of rows =3
Total number of marbles =2×3=6

(iii) 3 marbles in each row
Number of rows =2
Total number of marbles =3×2=6

(iv) He could not think of any arrangement in which each row had 4 marbles or
5 marbles. So, the only possible arrangement left was with all the 6 marbles
in a row.
Number of rows =1
Total number of marbles = 6 × 1 = 6
From these calculations Ramesh observes that 6 can be written as a product
of two numbers in different ways as
6 = 1 × 6; 6 = 2 × 3; 6 = 3 × 2; 6=6×1