What is a perfect cube and how can you check if a given number is a perfect cube? Explain why.
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In order to check whether a number is a perfect cube or not, we find its prime factors and group together triplets of the prime factors. If no factor is left out then the number is a perfect cube. However if one of the prime factors is a single factor or a double factor then the number is not a perfect cube.
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A perfect cube is any number that can be expressed as the product of three equal integers. In other words, a perfect cube is a number that can be made by cubing an integer. Every perfect cube is itself an integer. Also, the perfect cube will have the same sign as the number you started with.
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