Chapter 11.8, Problem 4E

To determine

To prove: The test for divisibility by $8$ for a six-digit number.

Explanation of Solution

Given information:

A six-digit number and a number $8$ .

Consider a six-digit number be $abcdef$ .

The test for divisibility by $8$ for six-digit number is proved as,

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

From the above calculation, if the last three digit of the number is divisible by $8$ , then the number is divisible by $8$ .

Hence, the test for divisibility by $8$ for six-digit number is proved.