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Subjects
Class 10MathematicsReal NumbersPrime FactorisationHardLevel 9
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If (68040=2^3\times3^p\times5\times7), what is the value of (p)?

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Answer and explanation

Correct answer: 5

Step 1: Write (68040=8\times8505). Step 2: (8505=3^5\times5\times7), so the power of 3 is 5. Step 3: Comparing gives (p=5).

Related tags

Exponent-ComparisonNumber-68040Hard

Frequently asked questions

What is the correct answer to this question?

5

Why is this the correct answer?

Step 1: Write (68040=8\times8505). Step 2: (8505=3^5\times5\times7), so the power of 3 is 5. Step 3: Comparing gives (p=5).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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