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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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If (p=2^a\times3^3\times5\times7) and (p=7560), what is the value of (a)?

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Answer and explanation

Correct answer: 3

Step 1: Prime factorise 7560. Step 2: (7560=756\times10=2^3\times3^3\times5\times7). Step 3: Comparing with the given form gives (a=3).

Related tags

Exponent-ComparisonPrime-FactorisationHard

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

Step 1: Prime factorise 7560. Step 2: (7560=756\times10=2^3\times3^3\times5\times7). Step 3: Comparing with the given form gives (a=3).

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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