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If (p) and (q) are distinct prime numbers, what is the total number of factors of (p^2q^3)?
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Answer and explanation
Correct answer: 12
Step 1: To count factors, add (1) to each exponent. Step 2: For (p^2q^3), the number of factors is ((2+1)(3+1)=12). Step 3: When prime bases are distinct, factor count comes directly from exponents.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
Step 1: To count factors, add (1) to each exponent. Step 2: For (p^2q^3), the number of factors is ((2+1)(3+1)=12). Step 3: When prime bases are distinct, factor count comes directly from exponents.
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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