Results 1 to 3 of 3

Math Help - Integers

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    New Jersey
    Posts
    16
    Thanks
    2

    Integers

    How many pairs of positive integers x and y satisfy the equation xy=20132013?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,173
    Thanks
    766

    Re: Integers

    Hey chopper07.

    (Hint: Try factorizing 2013 first).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,449
    Thanks
    1864

    Re: Integers

    chiro's point is that x^y, for x and y integers, will be equal to A if and only if A contains every prime factor of x, to the y power.

    For example x^y= 36= 4(9)= 2^2(3^2) only for x= 36, y= 1 or for x= 6, y= 2.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: December 6th 2011, 12:47 AM
  2. Replies: 7
    Last Post: August 3rd 2010, 02:31 PM
  3. Matrix of integers whose inverse is full of integers
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 19th 2010, 03:02 PM
  4. Replies: 4
    Last Post: February 24th 2008, 04:08 PM
  5. Replies: 2
    Last Post: October 14th 2007, 04:18 PM

Search Tags


/mathhelpforum @mathhelpforum