Fundamental Theorem of Arithmetic

number-theory

Definition

Fundamental Theorem of Arithmetic

Every natural number $n>1$ can be represented uniquely as a product of a finite set of prime numbers:

$$n=p_1^{e_1}\cdot p_2^{e_2}\cdot \cdots \cdot p_k^{e_k}=\prod _{i=1}^k{p}_i^{e_i}$$