Fundamental theorem of Arithmetic : Number Theory #Fundamental #theorem #of #Arithmetic : #Number #Theory
The Fundamental Theorem of Arithmetic : Statement : Every integer n > 1 can be represented as a product of prime factors in only one way, apart from the order of the factors. Proof : Consider the statement P(n) : Every integer n > 1 can be represented as a product of prime factors in only one way. Now we prove this statement by using mathematical induction on n. We have 2 = 2 1 = A product of prime factor. The statement is true for n=2 i.e. p(2) is true. Ass...