Chapter 11.8, Problem 2E

To determine

To find: The explanation for the divisibility of number $4$ .

Explanation of Solution

Given information:

The given number is $87154316$ and another number is $4$ .

The test for divisibility by $4$ for given number is,

  $\begin{array}{c}\frac{87154316}{4}=\frac{\left(871543\right)\cdot 100+16}{4}\\ =\frac{\left(871543\right)\cdot 100}{4}+\frac{16}{4}\\ =\left(871543\right)\cdot 25+\boxed{\frac{16}{4}}\end{array}$

From the above calculation, if the last two digit of the number is divisible by $4$ , then the number is divisible by $4$ .