If the number 91876X2 is completely divisibly by 8, then the smallest whole number in place of X will be:

To determine if a number is divisible by 8, you need to check the last three digits of the number. If the last three digits form a number that is divisible by 8, then the whole number is divisible by 8.

In this case, the last three digits are 76X. We need to find the smallest whole number X that makes 76X divisible by 8.

By trying the numbers from 0 to 9, we find that X = 4 is the smallest number that makes 76X (764) divisible by 8.

So, the smallest whole number in place of X is 4