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If the number is (2^5\times3^4\times5^2\times7^7), by which smallest number should it be multiplied to make a perfect cube?
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Answer and explanation
Correct answer: (2\times3^2\times5\times7^2)
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 5, 4, 2, and 7 must become 6, 6, 3, and 9. Step 3: The smallest multiplier is (2\times3^2\times5\times7^2).
Frequently asked questions
What is the correct answer to this question?
(2\times3^2\times5\times7^2)
Why is this the correct answer?
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 5, 4, 2, and 7 must become 6, 6, 3, and 9. Step 3: The smallest multiplier is (2\times3^2\times5\times7^2).
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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