Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!linus!decvax!harpo!gummo!whuxlb!pyuxll!eisx!npoiv!npois!hogpc!houxm!5941ux!dje From: dje@5941ux.UUCP Newsgroups: net.math Subject: Re: interesting division by 3 property Message-ID: <376@5941ux.UUCP> Date: Thu, 25-Aug-83 09:42:05 EDT Article-I.D.: 5941ux.376 Posted: Thu Aug 25 09:42:05 1983 Date-Received: Thu, 25-Aug-83 21:40:51 EDT References: ecn-ed.175 Lines: 5 pur-ee!vu stated that an integer is divisible by 11 if the sum of the digits in odd positions and the sum of the digits in even positions are equal (e.g. 781, 2585). This is not the complete test: consider the number 814, which is divisible by 11. The odd-digits sum is 12 and the even-digits sum is 1. The correct rule is that the two digit-sums must differ by a multiple of 11.