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Question
Hard Mathematics
Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 7
किस विकल्प में \(2^4\times3^2\times5\times7^2\) का सही मान है?
Which option gives the correct value of \(2^4\times3^2\times5\times7^2\)?
#evaluate-factorisation
#number-35280
#hard
A 35280
B 17640
C 70560
D 22050
Explanation opens after your attempt
Step 1
Concept
Calculate \(2^4=16\), \(3^2=9\), and \(7^2=49\).
Step 2
Why this answer is correct
\(16\times9\times5\times49=35280\).
Step 3
Exam Tip
Solve powers separately first. चरण 1: \(2^4=16\), \(3^2=9\) और \(7^2=49\) निकालें। चरण 2: \(16\times9\times5\times49=35280\)। चरण 3: घातों को पहले अलग-अलग हल करें।
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Question
Hard Mathematics
Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8
संख्या 35280 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 35280?
#prime-factorisation
#number-35280
#hard
A \(2^4\times3^2\times5\times7^2\)
B \(2^3\times3^3\times5\times7^2\)
C \(16\times2205\)
D \(2^4\times45\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^2\times5\times7^2\)
Step 1
Concept
Write \(35280=16\times2205\).
Step 2
Why this answer is correct
\(2205=3^2\times5\times7^2\), so \(35280=2^4\times3^2\times5\times7^2\).
Step 3
Exam Tip
Give 2205 its complete prime form. चरण 1: \(35280=16\times2205\) लिखें। चरण 2: \(2205=3^2\times5\times7^2\), इसलिए \(35280=2^4\times3^2\times5\times7^2\)। चरण 3: 2205 को पूरा अभाज्य रूप दें।
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