To factor $ 16mn-10m-24n+15 $ we can use factoring by grouping.
Group $ \color{blue}{ 16mn }$ with $ \color{blue}{ -10m }$ and $ \color{red}{ -24n }$ with $ \color{red}{ 15 }$ then factor each group.
$$ \begin{aligned} 16mn-10m-24n+15 &= ( \color{blue}{ 16mn-10m } ) + ( \color{red}{ -24n+15 }) = \\ &= \color{blue}{ 2m( 8n-5 )} \color{red}{ -3( 8n-5 ) } = \\ &= (2m-3)(8n-5) \end{aligned} $$