Number of DivisorsTrick brain teasers appear difficult at first, but they have a trick that makes them really easy.
We call a positive integer a "good number", if the product of all its divisors equals its cube.
For example, 12 is a good number, because the divisors of 12 are 1, 2, 3, 4, 6, 12, and 1*2*3*4*6*12=1728=12^3.
If n is a good number, what is the minimum number of divisors that n^2 has?
HintIt looks like a math teaser, but look at its category.
If your answer is 11, then you're tricked.
AnswerOnly one, because 1 is a good number!
See another brain teaser just like this one...
Or, just get a random brain teaser
If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.
Back to Top