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What is the smallest natural number to be multiplied in 83349  so that the product becomes a perfect cube?

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Important Questions on Cubes and Cube Roots

EASY
Find the cube of 42 by using Upsutra Anurupyena
MEDIUM
The unit digit in the expression 55725+735810+22853 is 
EASY
Find the smallest number by which each of the following number must be divided to obtain a perfect cube.
128
EASY
Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.
243
EASY
By what least number should 1536 be divided to get a perfect cube?
MEDIUM

Find the least number by which the following number must be multiplied to make them perfect cube.

1024

EASY
By what least number should 648 be multiplied to get a perfect cube?
MEDIUM
You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.