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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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If (q=2^4\times3^b\times5\times7) and (q=15120), what is the value of (b)?

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Answer and explanation

Correct answer: 3

Step 1: Write (15120=16\times945). Step 2: (945=3^3\times5\times7), so (15120=2^4\times3^3\times5\times7). Step 3: Comparing gives (b=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: Write (15120=16\times945). Step 2: (945=3^3\times5\times7), so (15120=2^4\times3^3\times5\times7). Step 3: Comparing gives (b=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?
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