Question

Find the smallest no. by which 8768 must be divided so that the quotient is a perfect cube with process

Answer 1

first let us find the prime factorization of 8768

→ 8768= 2 x 2 x 2 x 2 x 2 x 2 x 137

$= {2}^{3} \times {2}^{3} \times 137$

so, 8768 must be divided by 137 to make it a perfect cube.

8768/137= 64


verification:

64= 4 x 4 x 4= 4^3

$\sqrt[3]{64} = 4$
hence verified!

Answer 2

Answer:

Please refer to the attachment for the answer

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