In order to avoid the interception of radio talks during important missions, the NYPD cops decided to change the radio frequency they use for talking amongst themselves or with the dispatch very often. In order to transmit the new radio frequency fast and secure, this has to be encoded prior to its transmission. Knowing that perpetrators aren't good at math or computers, the cops thought about sending a non-zero positive integer n, and the new frequency would be given by the product p of n's digits The only problem that has to be worked out is that of finding out positive integer n fast which also has to be the smallest possible of all non-zero positive integers that have the products of their digits equal to p.