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How many maximum times can (2^3 \times 3^2 \times 5) be completely divided by (12)?
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Answer and explanation
Correct answer: 1
Step 1: (12=2^2 \times 3). Step 2: From (2^3), (2^2) can be taken only (1) full time, while (3^2) can supply (3) twice. The limiting exponent is for (2), so the answer is (1). Step 3: For a composite divisor, check each required prime separately.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
Step 1: (12=2^2 \times 3). Step 2: From (2^3), (2^2) can be taken only (1) full time, while (3^2) can supply (3) twice. The limiting exponent is for (2), so the answer is (1). Step 3: For a composite divisor, check each required prime separately.
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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