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If (n=2^6\times3^4\times5^2\times7), by which number will (n) not be divisible?
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Answer and explanation
Correct answer: (3^5)
Step 1: For divisibility, every prime power of the divisor must be available in the number. Step 2: (n) has power 4 of 3, but (3^5) needs power 5. Step 3: Therefore, (n) is not divisible by (3^5).
Frequently asked questions
What is the correct answer to this question?
(3^5)
Why is this the correct answer?
Step 1: For divisibility, every prime power of the divisor must be available in the number. Step 2: (n) has power 4 of 3, but (3^5) needs power 5. Step 3: Therefore, (n) is not divisible by (3^5).
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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