Question

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

Answer 1

Answer:

13

Step-by-step explanation:

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,

= 8788/4

=  2 x 2 x 13 x 13 x 13 / 4

​  

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

Thus, the cube root of 2197=13

Answer 2

Answer:

13

Given:

The number is 878i8

Solve:

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,

$\frac{8788}{4} = \frac{2 \times 2 \times 13 \times 13 \times 13}{4}$

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

Thus, the cube root of 2197=13

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