prove or disprove the following. let a_{1}....a_{r}be even integers and let b_{1}....b_{s}be integers. If r>=s+3 and

a_{i}>b_{j}for all i and j, then the quotient (a_{1}a_{2}...a_{r})/(b_{1}b_{2}....b_{s}) is either an even integer or a non-integral rational.

please need an elaborate answer. quickly