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How many perfect cubes fit into 3!5!7!

 

This is a question from my math class.

 Dec 7, 2016
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Do you mean how many pefect cubes it contains???? If that is what you mean, then:

3!5!7! =3,628,800^(1/3) =~153

If you mean by how many pefect cubes is it divisible EVENLY, then I think by these ones only:

1^3, 2^3, 3^3, 4^3, 6^3, 12^3.

 Dec 7, 2016

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