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Q.
The smallest natural number, by which 1458
must be divided so that quotient is a perfect
cube, is: ________.
Squares and Square Roots and Cubes and Cube Roots
Solution:
$1458 =2 \times 3^6=2 \times\left(3^2\right)^3$
$ =2 \times(9)^3$
So to make quotient a perfect cube we have to divide 1458 by 2
Hence, the required number $=2$.
