How many maximum times can (2^5 \times 3^2) be completely divided by (12)?
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Answer and explanation
Correct answer: 2
Step 1: (12=2^2 \times 3). Step 2: Each division by (12) uses (2^2) and (3). From (2^5), this can happen (2) times, and from (3^2), also (2) times. Step 3: For a composite divisor, check the limiting prime exponent.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Step 1: (12=2^2 \times 3). Step 2: Each division by (12) uses (2^2) and (3). From (2^5), this can happen (2) times, and from (3^2), also (2) times. Step 3: For a composite divisor, check the limiting prime 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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