How many factors of 2^5*3^10 are perfect squares?
(1, 4, 9, 16, 36, 81, 144, 324, 729, 1296, 2916, 6561, 11664, 26244, 59049, 104976, 236196, 944784)=18 such perfect squares.
Hi Guest!
Someone already answered, but I just wanted to show an alterior method.
Btw, floor is just highest integer lower than x. So floor(3.6) = 3
floor(5/2) = 2
floor(10/2) = 5
(2+1)(5+1) = 18.
So our answer is 18.
=^._.^=