What is the least integer n such that

Akanksha Bajaj

Another way to do this problem would be to compare 2^n to 1000 by doing prime factorization on 1000. Doing that would get you to 5^3 * 2^3, at that point, the trick is to find 2^something that would remotely equivalent to 125, which is 2^7 (which is 128). So you can really say that (2^7)*(2^3) is about 1000, OR 2^10 is about 1000. Now, since you're looking at a fraction and want the left side to be smaller, then yes 1/2^10 < 1/1,000. So the answer is A.

Jul 25, 2015 • Comment

Chris Lele, Magoosh Tutor

Sep 26, 2012 • Comment