integer question

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If n is a positive integer and a product of all integers form 1 to 10, inclusive, and it is a multiple of 990 as well, what is the value of n?

10, 11, 12, 13, or 14?

My answer: 11, but not sure because I do not understand what the underlined portion means

Thank you!
 
alejandra9kg said:
If n is a positive integer and a product of all integers form 1 to 10, inclusive, and it is a multiple of 990 as well, what is the value of n?
10, 11, 12, 13, or 14?
My answer: 11, but not sure because I do not understand what the underlined portion means
CHECK the wording of your problem...

(Webster's)Main Entry: multiple
Function: noun
1 a : the product of a quantity by an integer <35 is a multiple of 7>

10 to 14 are certainly not multiples of 990

Product of integers 1 to 10 = 3,628,800 ; whatever that means in your problem !
 
Sorry but I still don't get the answer. Can you please tell me the answer? Thank you so much for your help! :oops:
 
alejandra9kg said:
Can you please tell me the answer?
As the tutor explained, you need to check (verify) the wording of the question since, as currently stated, it doesn't make sense.

Eliz.
 
If n is a positive integer and a product of all integers form 1 to 10, inclusive, and it is a multiple of 990 as well, what is the value of n?

10, 11, 12, 13, or 14?

My answer: 11, but not sure because I do not understand what the underlined portion means

I could be wrong but I suspect your question is really what n times 10! is divisible by 990?

Of the numbers given, 11x10x9x8x7x6x5x4x3x2x1 = 39,916,800 which is divisible by 990 yielding 40,320.
 
In factored form \(\displaystyle 990 = 2 \cdot 3^2 \cdot 5 \cdot 11\). Thus 990 has a factor of 11 and (10!) does not.
Therefore, 11(10!) is a multiple of 990.
So 11 is only one of the choices that works.
 
Thank you so much!

Thanks to all of you guys' help I already got to solve the problem. Thank you! :p
 
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