* Call this number a. Divide it by two; the result is b. * Divide b by two as well; the result is c. * Divide c by two, the third time; the result is d. * If any of a, b or c are odd, the number cannot be divided by 8; if you obtain the number d, then that is a/8.
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If it ends with an even number then it is divisible by 2
If it's even and divisible by 3, it's divisible by 6.
because it is divisible by 2
if the last digit is even or 0, a number is divisible by 2!
You can always tell a number is divisible by eight by checking to see if the rightmost three digits are. If they are, then the whole number is. With that in mind then, you can make up all sorts of such numbers by just grabbing some combination that you know is divisible by eight, and tacking additional digits on to the left. For example, we know that 128 is divisible by eight (128 / 8 = 16), so any of these numbers are as well: 89469128 13948128 90173128 The number of digits doesn't matter, so we also know that a ridiculously large number like this one: 25098174509840582437575109283102477568758134024 is divisible by eight, because the last three digits are.