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Class 10MathematicsReal NumbersPrime FactorisationHardLevel 7

If (n=2^5\times3^4\times5^2\times7), by which number will (n) not be divisible?

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Answer and explanation

Correct answer: (2^6)

Step 1: Every prime power of a divisor must be available in the number. Step 2: (n) has power 5 of 2, but (2^6) needs 6. Step 3: Therefore, (n) is not divisible by (2^6).

Tags

divisibilityprime-exponentshard

Frequently asked questions

What is the correct answer to this question?

(2^6)

Why is this the correct answer?

Step 1: Every prime power of a divisor must be available in the number. Step 2: (n) has power 5 of 2, but (2^6) needs 6. Step 3: Therefore, (n) is not divisible by (2^6).

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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