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If p is the product of the integers from 1 to 30, inclusive

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by imane81 » Fri Jan 22, 2010 1:43 pm
Thanks for your support in this one..


If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18
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by itsratul » Fri Jan 22, 2010 1:52 pm
For 3K to be a factor of p both 3 and k should be factors of p.

As p is the product of the integers from 1 to 30, inclusive,3 is one of the factors.

A quick glance to find out which is the highest answer choice, that falls within 1 to 30 (inclusive), gives us ---> E. 18

So the Ans is E.
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by Mom4MBA » Fri Jan 22, 2010 2:03 pm
The question should be: If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18

answer is 14

in 30! we have 3, 14 times
There are 10 multiples of 3 , so 10 + 1(for 9) + 1 (for 18) 2(for 27) = 14


So the highest value of k=14
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by itsratul » Fri Jan 22, 2010 2:14 pm
B-) ...Cant do much abt question changes after the exam
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