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If the number is (2^8\times3^7\times5^4), by which smallest number should it be divided to make a perfect cube?
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Answer and explanation
Correct answer: (2^2\times3\times5)
Step 1: For a perfect cube, exponents should be multiples of 3. Step 2: Reducing 8 to 6, 7 to 6, and 4 to 3 is the smallest way. Step 3: Therefore, the divisor is (2^2\times3\times5).
Frequently asked questions
What is the correct answer to this question?
(2^2\times3\times5)
Why is this the correct answer?
Step 1: For a perfect cube, exponents should be multiples of 3. Step 2: Reducing 8 to 6, 7 to 6, and 4 to 3 is the smallest way. Step 3: Therefore, the divisor is (2^2\times3\times5).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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