Find the smallest number by which 6655 must be divided to get a perfect cube.

Dear Student,

6655 = 5*11*11*11
Combining them in groups of 3, we see that we are left with 5.
Thus to make 6655 a perfect cube, We should divide it by 5.

Thus,
(6655 / 5) = 1331
Which is a perfect cube of 11

Regards