If a number has prime factors (2,3,5) and total factors (60), which prime form is possible?
Answer and explanation
Correct answer: (2^4\times3^2\times5^3)
Step 1: Add (1) to each exponent and multiply to get total factors. Step 2: In option A, ((4+1)(2+1)(3+1)=5\times3\times4=60). Step 3: In option-based questions, test the exponents of each option.
Frequently asked questions
What is the correct answer to this question?
(2^4\times3^2\times5^3)
Why is this the correct answer?
Step 1: Add (1) to each exponent and multiply to get total factors. Step 2: In option A, ((4+1)(2+1)(3+1)=5\times3\times4=60). Step 3: In option-based questions, test the exponents of each option.
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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