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How many factors of 2^5*3^10 are perfect squares?

 Dec 31, 2020
 #1
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(1, 4, 9, 16, 36, 81, 144, 324, 729, 1296, 2916, 6561, 11664, 26244, 59049, 104976, 236196, 944784)=18 such perfect squares.

 Jan 1, 2021
 #2
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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. 

 

=^._.^=

 Jan 1, 2021

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