Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots2 Marks
Question
Which of the following are perfect cube?106480
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Answer
On factorising 106480 into prime factors, we get
106480 = 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11
Group the factors in triples of equal factors as:
106480 = {2 × 2 × 2} × 2 × 5 × {11 × 11 × 11}
It is evident that the prime factors of 106480 can be grouped into triples of equal factors and no factor is left over.
Therefore, 106480 is a perfect cube.
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