能被奇数整除的整数特征研究

Research on the Characteristics of Integers Which Can Be Exactly Divided by Odd Numbers

用数的整除特征去判断数的整除问题是数论中的重要方法.在广泛使用的20以内的部分数的整除特征基础上.根据其末几位数字或将大数分拆成小数之和或差等特点.发现能被奇数(a1.a2.a7.a0)整除的数的特征是这个数去掉末位数字后的数,与末位数的若干倍的和或差能被奇数整除.而其中的若干倍按照其末位数字分类.每一类构成等差数列.

It' s an important method to judge the matter of exact division by using the characteristics of exact division of Number in the field of Number Theory. By widely using the characteristics of exact division of certain numbers under 20, and by depending on the last several ones of the number or dividing a whole number into the sum or difference of the decimal, the author has discovered that the characteristics of exact division divided by odd numbers (a1, a3,a7,a9) is that the number whose end has been deleted and its sum or difference with the certain times of the end can exactly be divided by odd numbers, and certain times can be classified according to its end, with each classification forming lines of numbers with equal difference.