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If (N=2^2\times3^3\times5\times7^2), how many positive factors does (N) have?
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Answer and explanation
Correct answer: (72)
Step 1: For total factors, add (1) to each exponent. Step 2: ((2+1)(3+1)(1+1)(2+1)=3\times4\times2\times3=72). Step 3: The same rule works even when many prime factors are present.
Frequently asked questions
What is the correct answer to this question?
(72)
Why is this the correct answer?
Step 1: For total factors, add (1) to each exponent. Step 2: ((2+1)(3+1)(1+1)(2+1)=3\times4\times2\times3=72). Step 3: The same rule works even when many prime factors are present.
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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