Question
What is the minimum number that should be multiplied with 360 in order to make it a perfect cube ?
Answer: Option A
:
A
For a number to be a perfect cube, its prime factors should be in the form of triplets i.e. every prime factor should be raised to the power in multiples of 3
Prime factorizing the given number, we get 360=2×2×2×3×3×5
Hence, we can see that the given number must be multiplied by 3×5×5 i.e.75
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:
A
For a number to be a perfect cube, its prime factors should be in the form of triplets i.e. every prime factor should be raised to the power in multiples of 3
Prime factorizing the given number, we get 360=2×2×2×3×3×5
Hence, we can see that the given number must be multiplied by 3×5×5 i.e.75
Was this answer helpful ?
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