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Homework Help: Factors problem

  1. Oct 23, 2004 #1
    Find a whole number for which the sum of its two largest factors is 340.


    pls offer help ... what method can i use to slove such a problem??
     
  2. jcsd
  3. Oct 23, 2004 #2
    Let n be the number we want ...
    Let x and y be its largest factors ....

    we know,
    xy=n ...
    (pedantically xy = nk where k is some integer but it that would mean i can find a factor greater than x or y)

    and x+y = 340

    y=n/x
    so x+n/x = 340

    ok now try to proceed from here ...

    -- AI
     
  4. Oct 23, 2004 #3

    HallsofIvy

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    Science Advisor

    Note: there are, of course, an infinite number of correct solutions.
     
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