Answer: 2205
Explanation:
From the prime factorisation of 525 we get
525 = 3×5×5×7
We have to make sure that all the factors are in cube form
To do that we have to add 3×3×5×7×7 to the factors
We get
525 = 3×3×3×5×5×5×7×7×7
So the 3×3×5×7×7 gives us the smallet value of k, which is 2205
And 525×2205 gives us 1157625 which is a perfect cube.