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.

Step-by-step explanation:

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

$\frac{8788}{4}$ = 13 x 13 x 13

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

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

Answer 2

Answer:

$\frac{8788}{4} = 13^{3}\\ (Perfect \: cube)$

Step-by-step explanation:

Resolving 8788 into prime factors, we get

2|8788

_________

2|4394

_________

13|2197

_________

13|169

_________

**** 13

8788 = 2×2×13×13×13

The prime factor 2 does not appear in a group of three factors. So, 8788 is not a perfect cube.

Hence , the smallest number which is to be divided to make it a perfect cube is 2×2 = 4

Therefore,

$\frac{8788}{4} = 13^{3}\\ (Perfect \: cube)$

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