Basic purpose of this lecture is to present on Prime Factor Tree. Prime Number – An integer whose only factors are 1 and itself. Factor – a number that can divide another number without a remainder. Prime Factors – an expression of numbers that divides another integer without a remainder where all the factors are prime. In a Prime Factor Tree, the goal is to keep reducing each factor to its lowest possible prime factors. When you have all the prime factors identified, re-arrange them from least to greatest and re-write them as exponents.