By the least number should (2^5 \times 3^2) be multiplied to make it a perfect cube?
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Answer and explanation
Correct answer: 6
Step 1: In a perfect cube, every prime exponent must be a multiple of (3). Step 2: (2^5) needs one (2) to become (2^6), and (3^2) needs one (3) to become (3^3). So the multiplier is (2 \times 3=6). Step 3: Raise each exponent to the next multiple of (3).
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Step 1: In a perfect cube, every prime exponent must be a multiple of (3). Step 2: (2^5) needs one (2) to become (2^6), and (3^2) needs one (3) to become (3^3). So the multiplier is (2 \times 3=6). Step 3: Raise each exponent to the next multiple of (3).
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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