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Friday, March 25, 2011

THE NUMBER 13

 Two interesting facts about the number 13: 

(i)  (1 / 13 )   =     0.076923076923076923076923...
                 (rational periodic infinite decimal)

    On multiplying the periodic number 76923 by successive multiples of 13, the following curious numerical pattern is obtained.
    76923 * 013 = 0999999
    76923 * 026 = 1999998 
    76923 * 039 = 2999997 
    76923 * 052 = 3999996
    76923 * 065 = 4999995
    76923 * 078 = 5999994
    76923 * 091 = 6999993
    76923 * 104 = 7999992
    76923 * 117 = 8999991
    76923 * 130 = 9999990



     (ii) The numerical pattern abcabc is divisible by 13.

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