## Integer & Multiples

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### Integer & Multiples

by relaxin99 » Mon Feb 23, 2009 5:16 pm
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least value of n?

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### Re: Integer & Multiples

by billzhao » Mon Feb 23, 2009 5:28 pm
relaxin99 wrote:If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least value of n?

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990=11*10*9, so n should be at least 11
Yiliang

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### Re: Integer & Multiples

by relaxin99 » Mon Feb 23, 2009 6:54 pm
billzhao wrote:
relaxin99 wrote:If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least value of n?

10
11
12
13
14
990=11*10*9, so n should be at least 11

Hi, thanks for the explanation. why would 11 be the least value of n and not 9?

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by welcome » Mon Feb 23, 2009 7:12 pm
relaxin99,
If 9 will be the least value then you can not get 990 by the multiples of the nos. below 9. It has to be 11 and less.
Shubham.
590 >> 630 >> 640 >> 610 >> 600 >> 640 >> 590 >> 640 >> 590 >> 590

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