Question

find the smallest number by which 8788 be divided so that the quotient is a perfect cube

please answer fast
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Answer 1

Answer:

4 is the smallest no. by which 8788 should be divided

Step-by-step explanation:

8788 can be written as 2×2×13×13×13or 2^2*13^3 therefor if we divide it by 2^2=4it will be a perfect cube

8788÷4=2197=13*13*13

Answer 2

Answer  

The given number is 8788

The prime factorisation of 8788 is given by,

8788=2×2×13×13×13

We see that prime factor 2 does not occur in the group of 3, hence the given number is not a perfect cube.

In order to make it a perfect cube, it must be divided by 4.

Now,   4

8788

​   =  4

2×2×13×13×13

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⇒2197=13×13×13, which is a perfect cube number.

Thus, the cube root of 2197=13