If (27720=2^a\times3^2\times5\times7\times11), what is the value of (a)?

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Answer and explanation

Correct answer: 3

Step 1: (27720=8\times3465). Step 2: (8=2^3) and (3465=3^2\times5\times7\times11), so the power of 2 is 3. Step 3: Comparing gives (a=3).

What is the correct answer to this question?

3

Why is this the correct answer?

Step 1: (27720=8\times3465). Step 2: (8=2^3) and (3465=3^2\times5\times7\times11), so the power of 2 is 3. Step 3: Comparing gives (a=3).

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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