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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Integer & Multiples
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990=11*10*9, so n should be at least 11relaxin99 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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Yiliang
billzhao wrote:990=11*10*9, so n should be at least 11relaxin99 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
Hi, thanks for the explanation. why would 11 be the least value of n and not 9?
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.
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
590 >> 630 >> 640 >> 610 >> 600 >> 640 >> 590 >> 640 >> 590 >> 590
