All the gummy machines at a candy factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
How many hours would it take to finish the order if the number of working machines decreased by a factor of 4?
If six machines working simultaneously can complete a big order in 22 hours, it means that each machine would take 6*22=<<6*22=132>>132 hours to complete the order.
If the number of working machines decreased by a factor of 4, there would be 6/4=<<6/4=1.5>>1.5 machines.
The number of machines cannot be a fraction, so one machine will be left to complete the order.
One machine will take 132*1=<<132*1=132>>132 hours to complete the order. Answer: \boxed{132}.