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Question Expert Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

संख्या 582120 का सही अभाज्य गुणनखंडन क्या है?

What is the correct prime factorisation of 582120?

Explanation opens after your attempt
Correct Answer

A. \(2^4\times3^3\times5^2\times7^2\times11\)

Step 1

Concept

Write the number using prime-base groups.

Step 2

Why this answer is correct

\(16\times27\times25\times49\times11=2^4\times3^3\times5^2\times7^2\times11\).

Step 3

Exam Tip

Avoid decimal-based options and write prime bases. चरण 1: \(582120=52920\times11\) लिखें। चरण 2: \(52920=2^3\times3^3\times5\times7^2\) नहीं बल्कि यहां \(16\times27\times25\times49\times11\) से \(2^4\times3^3\times5^2\times7^2\times11\) मिलता है। चरण 3: दशमलव वाले विकल्प से बचें और अभाज्य आधार लिखें।

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