What is the smallest positive integer by which you can multiply 735 so that the product is a perfect cube?

Source: mathcontest.olemiss.edu 4/14/2008

**SOLUTION**

Example of a perfect cube: .

.

To make 735 a perfect cube all we have to do is multiply it by so that we end up with a perfect cube.

**Check**

**Answer**: 1575.

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## About mvtrinh

Retired high school math teacher.

sir, please provide me solution of

Question:-find the least number which is added to 200 to make it a perfect cube.

Therefore, 16 is the smallest positive integer that is added to 200 to make it a perfect cube.