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Help with a 'factorial' math question

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Intern
Intern
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Joined: 08 Aug 2008
Posts: 5

Kudos [?]: 11 [0], given: 0

Help with a 'factorial' math question [#permalink]

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New post 21 Aug 2008, 19:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hello,

Is there a short-cut way to determine that 10! is divisible by 3?

Comes from this question taken form a practice test:
How many integers divisible by 3 are there between 10! and 10!+20 inclusive? Answer is 7

Kudos [?]: 11 [0], given: 0

Director
Director
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Joined: 23 Sep 2007
Posts: 782

Kudos [?]: 226 [0], given: 0

Re: Help with a 'factorial' math question [#permalink]

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New post 21 Aug 2008, 19:11
chrissy28 wrote:
Hello,

Is there a short-cut way to determine that 10! is divisible by 3?

Comes from this question taken form a practice test:
How many integers divisible by 3 are there between 10! and 10!+20 inclusive? Answer is 7


10! = 10*9*8*7*6*5*4*3*2*1 is divisible by 3
10! + 1 is not
10! + 2 is not


10! is
10! + 3 is
10! + 6 is
10! + 9 is
10! + 12 is
10! + 15 is
10! + 18 is

Kudos [?]: 226 [0], given: 0

Re: Help with a 'factorial' math question   [#permalink] 21 Aug 2008, 19:11
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Help with a 'factorial' math question

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