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If (n=2^6\times3^2\times5^5\times11), by which number must (n) be divisible?
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Answer and explanation
Correct answer: (2^5\times3\times5^4\times11)
Step 1: For divisibility, exponents in the divisor must not exceed those in the number. Step 2: (2^5), (3), (5^4), and 11 are all available in (n). Step 3: Therefore, (n) must be divisible by this number.
Frequently asked questions
What is the correct answer to this question?
(2^5\times3\times5^4\times11)
Why is this the correct answer?
Step 1: For divisibility, exponents in the divisor must not exceed those in the number. Step 2: (2^5), (3), (5^4), and 11 are all available in (n). Step 3: Therefore, (n) must be divisible by this number.
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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