Chapter 11.8, Problem 3E

To determine

To prove: The test for divisibility by $4$ for a six-digit number.

Explanation of Solution

Given information:

A six-digit number and a number $4$ .

Consider a six-digit number be $abcdef$ .

The test for divisibility by $4$ for six-digit number is proved as,

  $\begin{array}{c}abcdef=100000a+10000b+1000c+100d+10e+f\\ =100\left(1000a+100b+10c+d\right)+\left(10e+f\right)\end{array}$

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

Hence, the test for divisibility by $4$ for six-digit number is proved.