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Integers

If n is a pos...

Question

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990,what is the least possible value of n ?

A

8

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B

9

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C

10

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D

11

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E

12

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Solution

The correct option is C 11
$990$ can be written as the product: $9 \times 10 \times 11$
So, So, the factor with highest value here is 11.
So, here n can take the least value of $11$ (option D)

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