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If the number is (2^5\times3^7\times5^4\times13^2), 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\times5^2\times13)
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 5, 7, 4, and 2 must become 6, 9, 6, and 3. Step 3: The smallest multiplier is (2\times3^2\times5^2\times13).
Frequently asked questions
What is the correct answer to this question?
(2\times3^2\times5^2\times13)
Why is this the correct answer?
Step 1: In a perfect cube, every exponent must be a multiple of 3. Step 2: Powers 5, 7, 4, and 2 must become 6, 9, 6, and 3. Step 3: The smallest multiplier is (2\times3^2\times5^2\times13).
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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