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Subjects
Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 4
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What is the prime factorisation of 9261?

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Answer and explanation

Correct answer: (3^3\times7^3)

Step 1: Recognise (9261=21^3). Step 2: Since (21=3\times7), (21^3=3^3\times7^3). Step 3: (21^3) gives the value, but 21 is not prime, so write the final prime form separately.

Related tags

Prime-FactorisationPerfect-CubeHard

Frequently asked questions

What is the correct answer to this question?

(3^3\times7^3)

Why is this the correct answer?

Step 1: Recognise (9261=21^3). Step 2: Since (21=3\times7), (21^3=3^3\times7^3). Step 3: (21^3) gives the value, but 21 is not prime, so write the final prime form separately.

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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  4. 4What does uniqueness mean in the Fundamental Theorem of Arithmetic?
  5. 5In the prime factorisation of 84, what is the power of 2?
  6. 6The number (2^3\times3^2) is equal to which number?
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