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SwathiSahu
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Quant 17 Mar 2021, 06:40
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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 possible value of n ?

a. 10

b. 11

c. 12

d. 13

e. 14
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Quant 17 Mar 2021, 06:43
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SwathiSahu
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 possible value of n ?

a. 10

b. 11

c. 12

d. 13

e. 14
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Hi SwathiSahu

Welcome to GMAT CLUB!

You should search the question before posting because you may find solution of most such question.

Here is the link to my solution to this question.

https://gmatclub.com/forum/if-n-is-a-po ... l#p1589276

Two MUST join YouTube channels for GMAT aspirant GMATinsight (1000+ FREE Videos) and GMATclub :)
For a Comprehensive Topicwise Quant Video course at an affordable price CLICK HERE
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SwathiSahu
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 possible value of n ?

a. 10

b. 11

c. 12

d. 13

e. 14
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1 to n multiplied would mean n!
We need to find the least.
10! won't include 11 and so won't fully factorize 990.
but 11! would and that would be our answer
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Quant 17 Mar 2021, 18:39
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SwathiSahu
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 possible value of n ?

a. 10

b. 11

c. 12

d. 13

e. 14
Show more

Since 11 is the biggest prime factor of 990, you must start your answer check from 11.
Case:1, 11! = sufficient...............and its answer.
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