short cut for this question.

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


Intermediate Asked on April 3, 2018 in Problem Solving.
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1 Answer(s)

Question is asking, maximum value of k for which 3^k is factor of p(=30!).

Strategy: go on dividing 30 by 3, since the maximum base value of k is 3, until division is not possible. Lastly, add all the quotients. That is the maximum value of k.

Solution: 30/3 –> 10

10/3 –> 3

3/3 –> 1

Adding, 10+3+1=14 Ans.

I hope this is the right answer choice and helped you.


Aditya Aryan

Intermediate Answered on May 25, 2018.
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