Question

Find the value of a, b and c if $450=2^a\times 3^b\times 5^c$

• A. $a=0,b=2,c=2$
• B. $a=1,b=2,c=3$
• C. $a=1,b=2,c=2$
• D. $a=1,b=3,c=2$

Answer 1

The correct option is C $a=1,b=2,c=2$

$\begin{array}{cc}2& 450\\ 3& 225\\ 3& 75\\ 5& 25\\ 5& 5\\ & 1\end{array}$
$\Rightarrow 450=2^1\times 3^2\times 5^2$
So,the value of $a=1,b=2$ and $c=2$