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How many maximum times can (2^7 \times 5^3) be completely divided by (10)?
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Answer and explanation
Correct answer: 3
Step 1: (10=2 \times 5). Step 2: The exponent of (2) is (7), and the exponent of (5) is (3), so (3) complete pairs of (10) can be formed. Step 3: The number of divisions by (10) is decided by the smaller exponent.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: (10=2 \times 5). Step 2: The exponent of (2) is (7), and the exponent of (5) is (3), so (3) complete pairs of (10) can be formed. Step 3: The number of divisions by (10) is decided by the smaller 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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