Math, asked by womansworld0905, 9 months ago

10. Write 49392 into product of prime factorization and if 49392=2x3x7" then find
the value of 2a+3b+c.​

Answers

Answered by MaheswariS
5

\begin{array}{r|c}2&49392\\\cline{2-2}\\2&24696\\\cline{2-2}\\2&12348\\\cline{2-2}\\2&6174\\\cline{2-2}\\3&3087\\\cline{2-2}\\3&1029\\\cline{2-2}\\7&343\\\cline{2-2}\\7&49\\\cline{2-2}\\7&7\\\cline{2-2}\\&1\end{array}

\text{From the above division, we have}

49392=2^4{\times}3^2{\times}7^3

\text{Here, a=4, b=2 and c=3}

\text{Now,}

2a+3b+7c

=2(4)+3(2)+7(2)

=8+6+14

=28

\therefore\textbf{The value of 2a+3b+7c is 28}

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