从古希腊数学家丢番图(约246—330)时期至今,不定方程(也叫丢番图方程)一直是数学的研究内容,但很多不定方程的求解仍很困难,本文简述用因式分解法解不定方程.定义对于整系数不定方程F(x1,x2,…,xn)=0(n≥2),若有恒等变形F(x1,x2,…,xn)≡F1(x1,x2,…,xn)·F2(x1,x2,…,xn)-r, Since the ancient Greek mathematician Diophantus (about 246-330) period, the indefinite equation (also called the Diophantine equation) has been the research content of mathematics, but many indefinite equations are still difficult to solve. In this article, Decomposition method for solving indefinite equation. Definition For the indefinite integral equation F (x1, x2, ..., xn) = 0 (n≥2), if there is a constant deformation F (x1, x2, ..., xn) , ..., xn) · F2 (x1, x2, ..., xn) -r,