Question

Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
My answer is coming out to be 2 as 2 is the smallest number which when divided by 8788 will give a perfect cube. Please solve this question and also tell me what is my mistake.
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Answer 1

Answer:

I just giving you a solution you can identify

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

.

Answer 2

Step-by-step explanation:

First the prime factorisation the answer will be 2×2×13×13×13 then only 1 time 2 left so we divide 8788 with 2 .