What is the smallest positive perfect cube that is a multiple of 180?
Hi ss333!
Isn't the answer just \(0?\)
\(180 \cdot 0=0\)
And \(0^3=0\)
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.
180 x 360 =8,000 which is a perfect cube =8,000^1/3 =20
Actually 8000 isn't divisible by 180 it gets 44.444(recursive) instead.
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