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# General question about consecutive numbers

Author Message
TAGS:
Manager
Joined: 21 Sep 2008
Posts: 200
Concentration: Strategy, Economics
GMAT Date: 07-17-2015
GPA: 3.57
Followers: 5

Kudos [?]: 5 [0], given: 18

I'm looking at page 53 of the MGMAT Number Properties guide and I have a question about "products of consecutive integers and divisibility".

It says that any 3 (or x) consecutive integers will always be divisible by 3 (or x). However, doesn't this only apply to non-zero numbers? For instance, -1, 0, 1 are consecutive integers but their product is clearly 0. The rest of the section in the chapter doesn't really clarify whether this rule (i.e. "the product of K consecutive integers is always divisible by k factorial") only applies to non-zero integers.

Someone help?
_________________

Life with the GMAT:

Jerome: Ben, c'est 20 secondes de plus qu'hier sur le meme parcours! C'etait bien le meme parcours la, non?!
Gigi: Mais t'enerve pas, Jerome, je crois que t'as accroche une porte.
Jerome: *$&#(*%&(*#%&  Manhattan GMAT Discount Codes Kaplan GMAT Prep Discount Codes Veritas Prep GMAT Discount Codes Current Student Joined: 08 Jan 2009 Posts: 326 GMAT 1: 770 Q50 V46 Followers: 24 Kudos [?]: 118 [1] , given: 7 Re: General question about consecutive numbers [#permalink] 05 Jul 2011, 01:43 1 This post received KUDOS 0 is divisible by 3. 0/3 = 0 (which is an integer) Posted from my mobile device Manager Joined: 21 Sep 2008 Posts: 200 Concentration: Strategy, Economics GMAT Date: 07-17-2015 GPA: 3.57 Followers: 5 Kudos [?]: 5 [0], given: 18 Re: General question about consecutive numbers [#permalink] 05 Jul 2011, 01:51 Ahhhhhhhhhhhhhhh thank you so much!!! I thought 0 wasn't divisible because the result would be undefined but it's the other way around. _________________ Life with the GMAT: Jerome: Ben, c'est 20 secondes de plus qu'hier sur le meme parcours! C'etait bien le meme parcours la, non?! Gigi: Mais t'enerve pas, Jerome, je crois que t'as accroche une porte. Jerome: *$&#(*%&(*#%&

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