Question

Find the smallest number by which 8788 should be divided so that quotient isd a perfect cube. Also find the cube root of the quotient

Answer 1

Answer:

first find prime factorization of 8788

= 2×2×13×13×13

13 are 3 therefore the pair is complete

but 2 are 2 and there is incomplete

therefore number should be divided by 4 (2×2)

new number is 2197

and is a perfect cube

its cube root is 13

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