Question

The smallest number by which 192 must be divided to obtain a perfect cube is *​

Answer 1

Answer:

192 = 2×2×2×2×2×2×3

Hence, 3 is the smallest number by which 192 must be divided to obtain a perfect cube.

Answer 2

Answer:

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From prime factorisation method of 192

$192 = {2}^{6} \times 3$

$192 = { {(2}^{2} )}^{3} \times 3$

Now divide it with 3 , it mean 3 and 3 will be cancelled

So,

${ ({2}^{2} )}^{3} = {2}^{4} = 64$

So 64 is a perfect cube...

Therefore, 3 is the smallest number by which 192 must be divided to obtain a perfect cube.