Kobe_Kassidy wrote:Thank you for your help!
In studying the principles and subjects for the GMAT, where would I come across the subject tested in this problem? Perfect cubes are certainly not new to me, but admittedly, I didn't know that every perfect cube had to have 3 of every prime factor.
This problem is about PRIME-FACTORIZATION and DIVISIBILITY.
450y/n³ = 1
2*3*3*5*5*y / n*n*n = 1.
Since there are factors of 2, 3 and 5 in the numerator, there must be factors of 2, 3, and 5 in the denominator.
Thus, the smallest possible value of n = 2*3*5, yielding the following:
2*3*3*5*5*y / (2*3*5) (2*3*5) (2*3*5) = 1.
Since there must be the same number of 2's, 3's, and 5's in the numerator and there are in the denominator, the smallest possible value of y = 2*2*3*5.
Also, is there a search function where I can easily find if questions I am asking have been asked before? I am just going through the free GMAT software practice exams.
Thank you!
In the upper right corner is a SEARCH BAR.
To search for a problem, just type into the search bar a few keywords from the problem.
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