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If (2^3\times3^2\times5^x) has (96) total factors, what is the value of (x)?
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Answer and explanation
Correct answer: (7)
Step 1: Total factors are ((3+1)(2+1)(x+1)). Step 2: (4\times3\times(x+1)=96), so (x+1=8) and (x=7). Step 3: Multiply known parts first, then solve for the unknown exponent.
Frequently asked questions
What is the correct answer to this question?
(7)
Why is this the correct answer?
Step 1: Total factors are ((3+1)(2+1)(x+1)). Step 2: (4\times3\times(x+1)=96), so (x+1=8) and (x=7). Step 3: Multiply known parts first, then solve for the unknown exponent.
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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