The paper available mapping of integral coefficient polynomial and rational number, obtain factorization from factorization of polynomial by the way of sieve in true fraction series.

• 利用整系数多项式与正有理数的对应；将多项式因式分解通过对真分数序列筛选的办法求得因式；给出了整系数多项式因式分解的一种新方法.