Find the least value that must be given to number a so that the number 91876a2 is divisible by 8.

Question

Philoid · Accepted Answer

If a number is divisible by 8,then the number obtained by the last three digits of the number should be divisible by 8.

So, 6a2 should be divisible by 8.

Here,a can be any value from 0,1,…9.

When a = 0,6a2 = 602,which is not divisible by 8.

When a = 1,6a2 = 612,which is not divisible by 8.

When a = 2,6a2 = 622, which is not divisible by 8.

When a = 3,6a2 = 632,which is divisible by 8.

Hence, the least value of a is 3,which makes the number 91876a2 divisible by 8.