If the product of six different integers is 120000, what is the greatest possible value for one of the integers?

Answer=1000

I'm assuming all positive integers....to see why this is true.....note.....

5!  = 1 * 2 * 3 * 4 * 5  = 120 ........this minimizes the product of the 1st five integers

So...... 5! * 1000  = 120000  [ any integer > 1000 will produce a product > 120000 ]