Results 1 to 2 of 2

Math Help - How do I solve this?

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    USA
    Posts
    9

    How do I solve this?

    1. Find all integers n such that n! is divisible by 716 but not by 717.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,667
    Thanks
    606

    Re: How do I solve this?

    Hey evthim.

    First you need to know what the factors are for 716 and also for 717.

    We know that if you have something as a product of primes, then something can only be divided into something else (factored) if they have the same primes (that have a power of 1 or more) and you can only divide one thing by another if the denominator has the prime powers which are less than or equal to those in the numerator.

    Now given that you need n! and 716/717 to have the same prime factors to be divisible, what can you conclude about n and what it should be?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. need to solve summation equation to solve sum(x2)
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 16th 2010, 10:29 PM
  2. Solve for x
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 25th 2009, 07:46 AM
  3. how to solve this?
    Posted in the Algebra Forum
    Replies: 5
    Last Post: August 23rd 2009, 01:23 PM
  4. Solve for x
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 21st 2009, 01:21 PM
  5. Replies: 1
    Last Post: June 9th 2009, 10:37 PM

Search Tags


/mathhelpforum @mathhelpforum