Question

.. Find the smallest number by which 8768 must
be divided so that the quotient is a perfect
cube.​

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 × 2^3 × 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

64 ^ 3 = 4

hence verified.

hope it helps you mate.

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@ ANUSHA ❤✌