nLab prime factor

Idea

For $n \in \mathbb{N}$ a natural number a prime factor is a prime number $p \in \mathbb{N}$ which divides $n$, hence such that there is $k \in \mathbb{N}$ with $k \cdot p = n$.

The prime factorization of a natural number is its expression entirely as a product of prime factors.

Related concepts

• coprime integers

• fundamental theorem of finitely generated abelian groups

References

• Wikipedia, Prime factorization