Question

How many 4-digit numbers are there whose digit product is 60?

Answer 1

$60|2\\30|2\\15|3\\.\ 5|5\\.\ 1|\\\\60=2\cdot2\cdot3\cdot5\\\\\{2;2;3;5\}\to4!:2=12-numbers\\\{1;3;4;5\}\to4!=24-numbers\\\{1;2;6;5\}\to4!=24-numbers\\\\\\Answer:12+12+24=48\ numbers$