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Prime Factorisation Method to Find a Cube

Find the smal...

Question

Find the smallest number by which the following number must be divided to obtain a perfect cube.
192

A

3

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B

4

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C

7

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D

1

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Solution

The correct option is C 3
$F a c t o r i z a t i o n o f 192$
$192 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3$
$= 2^{6} \times 3$
$T o m a k e a p e r f e c t c u b e, w e n e e d t o h a v e m u l t i p l e s o f 3 a p o w e r s o f p r i m e f a c t o r s, i . e, w e d i v i d e t h e n u m b e r b y 3$

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