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Thread: remainder

  1. #1
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    Jun 2006
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    remainder

    What is the remainder when 2003^1998 is divided by 5


  2. #2
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    962

    Smile Re: remainder

    The remainder is 4.

    ---------------------
    suresh.


  3. #3
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    Jun 2006
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    410

    Re: remainder

    Excellent dude. I admire your skill...Please leave ur solution here.


  4. #4
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    Join Date
    Sep 2006
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    962

    Smile Re: remainder

    Any number with the last digit have three then resulting exponent will come in similar order of the following....

    3, 9, 7, 1

    For Example...
    if the number is 13 then the exponent result is...13, 169, 2197, 28561, 371293, 4826809, 62748517,.......

    See in the above result the last digit comes 3,9,7,1,3,9,7,....

    So In given question exponent digit is 1998.

    Divide the 1998/4 (because four digits are similarly coming)

    1998/4=499.2

    Here the fractional part have 2.....So the last digit is 9.

    When u divide 9 by 5 u got the remainder 4.


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