Question

FIND THE SMALLEST NUMBER BY WHICH 8788 BE DIVIDED SO THAT THE QUOTIENT IS PERFECT CUBE. MAKE IT BY PROCESS​

Answer 1

Answer:

The quotient is 2197.

To find the number that divides 8788 so that we obtain the quotient as a perfect cube,

Find the multiples of the number 8788,

8788 = “2 x 2 x 13 x 13 x 13”

8788 = 4 x 13 x 13 x 13

\frac{8788}{4}

4

8788

= 13 x 13 x 13

\frac{8788}{4}=(13)^{3}

4

8788

=(13)

3

Hence the number 8788 must be divided by 4 so that the quotient is a perfect cube which is \bold{13^{3}}13

3.