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How many maximum times can (2^5 \times 3^3 \times 5) be completely divided by (18)?
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Answer and explanation
Correct answer: 1
Step 1: (18=2 \times 3^2). Step 2: (2^5) can supply (2) five times, but (3^3) can supply (3^2) only once. So the answer is (1). Step 3: For a composite divisor, the most limiting prime exponent decides the answer.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
Step 1: (18=2 \times 3^2). Step 2: (2^5) can supply (2) five times, but (3^3) can supply (3^2) only once. So the answer is (1). Step 3: For a composite divisor, the most limiting prime exponent decides the answer.
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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