Question

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

Answer 1

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

$\text{From the above division, we have}$

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

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

$\text{Now,}$

$2a+3b+7c$

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

$=8+6+14$

$=28$

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