Question

find the smalest number by which 8768must be divided so that quotient is perfect cube​

Answer 1

Answer:

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=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

\sqrt[3]{64} = 4

3

64

=4

hence verified!

Step-by-step explanation:

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Answer 2

Answer:

137

Step-by-step explanation:

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