(一) 定义的形式“整除”的定义,从形式上来看,主要有两种叙述方式: 一种是以华罗庚教授的《数论导引》为代表,例如陈景润在《初等数论》中的定义是:“设a、b是整数,b(?)0,如果有一个整数c,它使得a=bc。我们就说b能整除a,或a能被b整除。”这种叙述,我们不妨称为整除定义的积的形式。另一种如湖北省中等师范学校试用课本第四册《小学数学复习及研究》、辽宁省中师函授试用课本《数学(算术)》等,它们的定义是“如果一个整数a,除以一个自然数b,得到整数商c而没有余数, (A) the definition of the form of “divisibility” definition, from the formal point of view, there are two main narrative ways: one is Professor Hua Luogeng “number theory guidance” as the representative, such as Chen Jingrun in the “elementary number theory” is defined : “Let a and b be integers, b (?) 0, and if there is an integer c, which makes a = bc, we say that b can divide by a, or a can be divisible by b.” In this statement, we may as well say The form of the product for the divisibility definition. Another such as Hubei Normal Secondary School trial textbook Volume IV “elementary school mathematics review and research”, Liaoning province middle school correspondence experimental textbook “mathematics (arithmetic)”, they are defined as "If an integer a, divided by a Natural number b, get the integer quotient c without a remainder,