A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.

To find the unit rate of bottles per minute, we divide the total number of bottles (360) by the total time (5 minutes).

Unit rate = Total number of bottles / Total time = 360 bottles / 5 minutes = <<360/5=72>>72 bottles per minute.

Therefore, the factory's unit rate of bottles per minute is 72.