Andrew N. answered • 07/28/19

GMAT™ Ninja-in-Training: 780 Q50 V48

I interpreted this question a little differently, and I feel that a GMAT-style layout of answer choices ((A) through (E), à la PS questions) or statements (as in DS questions) might help clarify the issue. Here is how I perceived the question:

What is the smallest positive integer value of *n *for which* *8^*n* has 136 as a factor? In other words, (8^*n*)/136 *must* equal some integer (or else 136 would not be considered a factor).

That is a tough question, the type that could eat up a LOT of time. But with little guidance to go on from the problem, I bit the bullet and delved into the numbers. I arrived at an answer of 15. That is,

(8^15)/136 = 258,708,618,300

Each *n* value lower than 15 yielded a non-integer answer--yes, I actually wrote the numbers out on my notepad. I wish I could say that I had used some sort of shortcut, but I used time instead.

Phew! I hope Jim followed the correct line of reasoning. I think my brain needs a rest. In any case, good luck with your studies.

Andrew