# Help!Question:confused:

• Apr 6th 2006, 07:07 PM
aakkmm
Help!Question:confused:
:confused: What is:
A number n where if the sum of digits of the number is divisible by n, then the number it self is divisible by n.
• Apr 7th 2006, 06:21 AM
topsquark
Quote:

Originally Posted by aakkmm
:confused: What is:
A number n where if the sum of digits of the number is divisible by n, then the number it self is divisible by n.

The way this is stated I can't think of any example except a one digit number. For a multiple digit number "n" how could the sum of the digits possibly be divisible by "n"? And, of course, any number is divisible by itself. Something isn't worded right...

-Dan
• Apr 29th 2006, 01:15 AM
rgep
You're being asked to test the validity of rules like 'if the sum of the digits of a number is divisible by 2 then that number is divisible by 2' (which isn't true: consider 11) or 'if the sum of the digits of a number is divisible by 3 then that number is divisible by 3' (which is true: can you see why?). So 3 is an answer to your question: there are others ...