Question

Find the smallest no by which 10985 must be divided to get a perfect cube

Answer 1

the answer is given in the image along with the process

Answer 2

The smallest no by which 10985 must be divided to get a perfect cube is 5.

Step-by-step explanation:

To find : The smallest no by which 10985 must be divided to get a perfect cube ?

Solution :

First we factor the number,

$10985=5\times 13\times 13\times 13$

$10985=5\times 13^3$

To make it a perfect cube we divide the number by 5.

$\frac{10985}{5}=\frac{5\times 13^3}{5}$

$2197=13^3$

Therefore, the smallest no by which 10985 must be divided to get a perfect cube is 5.

#Learn more

Is 171500 is perfect cube? if not, find the smallest number by which it must be divided to get a perfect cube.

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