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Question
The smallest number multiplied to 54,000 to obtain a perfect cube is _______.
The smallest number multiplied to 54,000 to obtain a perfect cube is _______.
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Solution
The correct option is C 4
54,000 can be factorised using the prime factorisation method.
54000 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
There are three complete pairs of 2, 3, and 5. If we multiply with 2×2 then the remaining 2 can also form a pair of three numbers which will give a perfect cube number.
Hence the smallest number is 4.
54,000 can be factorised using the prime factorisation method.
54000 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
There are three complete pairs of 2, 3, and 5. If we multiply with 2×2 then the remaining 2 can also form a pair of three numbers which will give a perfect cube number.
Hence the smallest number is 4.
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