Question

What is the least number that must be added to 1056 so the number is divisible by 23? [2 marks]

Answer 1

On dividing 1056 by 23, we get,

$\begin{array}{cc}& 45\\ 23& 1056\\ & 1035\downarrow \\ & 21\end{array}$


1056 = 23 $\times$ 45 + 21 (1 mark)
Here, the remainder is 21 and divisor is 23.
The diffrenece between divisor and remainder = 23 - 21 = 2.

$\Rightarrow$ If we add 2 to the dividend 1056, we will get a number completely divisible by 23.
$\therefore$ The least number to be added = 2 (1 mark)