You could use packages like fancyhdr
or scrlayer-scrpage
to change footer (and header).
Example using fancyhdr
(assuming a onesided document):
\documentclass{report}
\usepackage{lipsum}% only for dummy text
\usepackage{fancyhdr}
\pagestyle{fancy}
\renewcommand*\headrulewidth{0pt}
\fancyhf{}
\fancyfoot[RO]{\thepage}
\begin{document}
\chapter{First}
\lipsum[1-10]
\chapter{Second}
\lipsum[11-20]
\end{document}
Result:

Example using scrlayer-scrpage
(assuming a onesided document):
\documentclass{report}
\usepackage{lipsum}% only for dummy text
\usepackage{scrlayer-scrpage}% sets pagestyle scrheadings automatically
\clearpairofpagestyles
\cfoot[\pagemark]{}
\ofoot{\pagemark}
\begin{document}
\chapter{First}
\lipsum[1-10]
\chapter{Second}
\lipsum[11-20]
\end{document}
The result is nearly the same as above.