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56

2,2,2,7

perfect cubes=1,8

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Q: What are the perfect cube factors of 56?
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What is the least multiple of 56 which is a perfect cube?

2744


Can a prime number be a perfect cube?

No, being a perfect cube would mean it has factors.


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The question could ask for the perfect cube of 56, which equals 563 = 175616. However, it can also mean to ask whether 56 can be a cube, which could be answered by 56(1/3), which cubed is 56. Since 56(1/3) is an irrational number, it is impossible to construct this perfectly, but one can make arbitrary precise approximations, close to 3.825862365...


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