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Which of the Following Is Perfect Cube? 456533 - Mathematics

Which of the following is  perfect cube? 

 456533

 

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Solution

On factorising 456533 into prime factors, we get:

\[456533 = 7 \times 7 \times 7 \times 11 \times 11 \times 11\]
Group the factors in triples of equal factors as:
\[456533 = 7 \times 7 \times 7 \times 11 \times 11 \times 11\]

It is evident that the prime factors of 456533 can be grouped into triples of equal factors and no factor is left over. Therefore, 456533 is a perfect cube.

 
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.1 | Q 8.1 | Page 8
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