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What is the smallest positive perfect cube that is a multiple of 180?

 May 9, 2020
 #1
avatar+684 
+1

Hi ss333!

 

Isn't the answer just \(0?\)

 

\(180 \cdot 0=0\)

And \(0^3=0\)

.
 May 9, 2020
 #4
avatar+904 
-2

It says positive, but whether 0 is positive or negative depends on your country.

 

For example I live in the US so 0 is neither, but in france, for instance, it's both.

 

So this (in my opinion) kind of depends on the definition of zero.

hugomimihu  May 9, 2020
 #2
avatar
0

180 x 360 =8,000 which is a perfect cube =8,000^1/3 =20

 May 9, 2020
 #5
avatar+904 
-2

Actually 8000 isn't divisible by 180 it gets 44.444(recursive) instead.

hugomimihu  May 9, 2020
 #3
avatar+30584 
+3

The prime factors of 180 are 22. 32. 5  Hence to make a cube we need to multiply by 2.3.52 = 150

 

180*150 = 27000

 

270001/3 = 30

 May 9, 2020

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