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If (540=2^2\times3^3\times5), how many factors of (540) are perfect cubes?
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Answer and explanation
Correct answer: (2)
Step 1: A cube factor must have exponents that are multiples of (3). Step 2: For (2), only (0); for (3), (0) or (3); for (5), only (0). Total (=2). Step 3: Remember that (0) is also a multiple of (3).
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What is the correct answer to this question?
(2)
Why is this the correct answer?
Step 1: A cube factor must have exponents that are multiples of (3). Step 2: For (2), only (0); for (3), (0) or (3); for (5), only (0). Total (=2). Step 3: Remember that (0) is also a 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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