1.

Find the smallest number by which 8788 be divided so that the quotient is perfect cube.​

Answer»

Step-by-step explanation:

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

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

Thus, the cube root of 2197=13

This is the right ANSWER for your QUESTION.


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