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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticExpertLevel 5
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If the prime factorisation of a number is (2^6\times3^6\times5^3), what is the number?

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Answer and explanation

Correct answer: 5832000

Step 1: Calculate (2^6=64), (3^6=729), and (5^3=125). Step 2: (64\times729\times125=5832000). Step 3: Simplifying powers first keeps the calculation clean.

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Evaluate-FactorisationPowersExpert

Frequently asked questions

What is the correct answer to this question?

5832000

Why is this the correct answer?

Step 1: Calculate (2^6=64), (3^6=729), and (5^3=125). Step 2: (64\times729\times125=5832000). Step 3: Simplifying powers first keeps the calculation clean.

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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  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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