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What is the correct prime facto... | 3: Prime factorisa...
संख्या 2700 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2700?
#prime-factorisation
#number-2700
#medium
A \(2^2\times3^3\times5^2\)
B \(2\times3^3\times5^2\)
C \(27\times100\)
D \(2^2\times3^2\times5^3\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^3\times5^2\)
Step 1
Concept
Write \(2700=27\times100\).
Step 2
Why this answer is correct
\(27=3^3\) and \(100=2^2\times5^2\), so \(2700=2^2\times3^3\times5^2\).
Step 3
Exam Tip
Convert both 27 and 100 into prime powers. चरण 1: \(2700=27\times100\) लिखें। चरण 2: \(27=3^3\) और \(100=2^2\times5^2\), इसलिए \(2700=2^2\times3^3\times5^2\)। चरण 3: 27 और 100 दोनों को अभाज्य घातों में बदलें।
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The correct answer is A. \(2^2\times3^3\times5^2\).
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