If the number is (2^4\times3^2\times5^3\times7), by which smallest number should it be multiplied to make a perfect cube?
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Answer and explanation
Correct answer: 588
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 4, 2, and 1 must become 6, 3, and 3 respectively. Step 3: The multiplier is (2^2\times3\times7^2=588).
Frequently asked questions
What is the correct answer to this question?
588
Why is this the correct answer?
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 4, 2, and 1 must become 6, 3, and 3 respectively. Step 3: The multiplier is (2^2\times3\times7^2=588).
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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