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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 4
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What is the prime factorisation of 2401?

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Answer and explanation

Correct answer: (7^4)

Step 1: (2401=49\times49). Step 2: Since (49=7^2), (2401=7^4). Step 3: 49 is composite, so (49^2) is not the final prime factorisation.

Related tags

Prime-FactorisationPowersHard

Frequently asked questions

What is the correct answer to this question?

(7^4)

Why is this the correct answer?

Step 1: (2401=49\times49). Step 2: Since (49=7^2), (2401=7^4). Step 3: 49 is composite, so (49^2) is not the final prime factorisation.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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