Wednesday, 19 March 2014

elementary number theory - Remainder when N is divided by '9'

N is a natural number formed by writing, in the ascending order, the first 1002 whole numbers one after the another. Find the remainder when N is divided by 9



It is known that if the summation of digits of N is divisible by 9, then N is. Otherwise, summation when done recursively until it can be divided by 9 easily, remainder then obtained will be the remainder when N is divided by 9. I can't figure out how to find summation of the digits of the number N.

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