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General question about consecutive numbers

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Joined: 21 Sep 2008
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Concentration: Strategy, Economics
Schools: INSEAD '14
GMAT Date: 08-15-2012
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General question about consecutive numbers [#permalink] New post 05 Jul 2011, 00:55
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?
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Re: General question about consecutive numbers [#permalink] New post 05 Jul 2011, 01:43
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0 is divisible by 3.

0/3 = 0 (which is an integer)

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Manager
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Joined: 21 Sep 2008
Posts: 194
Concentration: Strategy, Economics
Schools: INSEAD '14
GMAT Date: 08-15-2012
GPA: 3.57
Followers: 4

Kudos [?]: 30 [0], given: 17

Re: General question about consecutive numbers [#permalink] New post 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.
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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: *$&#(*%&(*#%&

Re: General question about consecutive numbers   [#permalink] 05 Jul 2011, 01:51
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