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# Help me ASAP please

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

May 9, 2020

#1
+684
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Hi ss333!

Isn't the answer just $$0?$$

$$180 \cdot 0=0$$

And $$0^3=0$$

.
May 9, 2020
#4
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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
0

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

May 9, 2020
#5
+904
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Actually 8000 isn't divisible by 180 it gets 44.444(recursive) instead.

hugomimihu  May 9, 2020
#3
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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