Describe the factors that determine power in your own words (not from a website)

As it was categorized in the physics category it must be the mechanical power.

Power is basically the amount of work done per unit time or in simpler words the amount of energy transferred per unit time.

The SI unit for power is Watt. Which is basically J/s or Nm/s as wor has the unit of Nm.

In electrical components power can also be categorized as the amount voltage supplied multiplied by the current passed through the component.

Since you put your question in the category, I'll assume

you're talking about mechanical or electrical power, and not political

or military power etc.

Power is the rate of doing work or moving energy from one place

to another.

In mechanical contraptions, Work is (force) x (distance),

so

Power = (work) divided by (time)

or = (force) x (distance) divided by (time).

In electrical circuits,

Power = (voltage) x (current)

or = (current) ² x (resistance)

or = (voltage) ² divided by (resistance).

(Just use the formula with whatever quantities you know.)