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Find the smallest positive integer k such that 360k is a cube number

Find the smallest positive integer k such that 360k is a cube number
asked 189k views
5 votes
Find the smallest positive integer k such that 360k is a cube number

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User Chobicus
by
8.4k points

1 Answer

4 votes
Hello,

As 360=2^3*3^2*5,

360k=n^3 <==>k=3*5^2*a^3=75*a^3

Smallest integer is 75

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User HieroB
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7.5k points
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