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Find the smallest value of K such as 20K is a perfect cube

User BaseZen
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To find the smallest value of K such that 20K is a perfect cube, we need to determine the prime factors of 20K and then adjust K accordingly.

The prime factorization of 20 is 2^2 * 5, and to make it a perfect cube, we need to have all the prime factors raised to multiples of 3.

For the factor of 2, we need it raised to the power of 3, so K = 2^(3-2) = 2.

For the factor of 5, we need it raised to the power of 3, so K = 5^(3-1) = 5^2 = 25.

So, the smallest value of K such that 20K is a perfect cube is K = 2 * 25 = 50.
Find the smallest value of K such as 20K is a perfect cube-example-1
User Jay Wang
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