Fundamental Theorem of Arithmetic

Theorem

If $n\in \mathbb{Z}$, Then, a unique set of positive prime exists such that $n=u\ast p_1^{n_1}\ast p_2^{n_2}\ast \dots p_k^{n_k}$

• Where $u=-1$ if $n<0$
• Where $u=1$ if $n\ge 0$

Intuition

Every integer is the unique product of 2 or more primes.