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If (2^x\times3^2\times7^4) has (45) total factors, what is the value of (x)?
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Answer and explanation
Correct answer: (2)
Step 1: Total factors are ((x+1)(2+1)(4+1)). Step 2: ((x+1)\times3\times5=45), so (x+1=3) and (x=2). Step 3: Divide the given factor count by the known parts first.
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
Step 1: Total factors are ((x+1)(2+1)(4+1)). Step 2: ((x+1)\times3\times5=45), so (x+1=3) and (x=2). Step 3: Divide the given factor count by the known parts first.
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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