整数剩余类就是把全体整数去被m(m∈N+)除,然后按余数(0,1,2,…,m-1)将整数分为m类,且每个整数属于且仅属于其中的一类.例如,当m=2时,整数分为两类:余数为0称偶数,余数为1称奇数;当m=3时,整数分为三类,可记为{3k},{3k+1},{3k+2}(k∈Z)等.整数剩余类在高中数学中应用较为广泛,利 The remaining type of integer is to divide all the integers by m(m∈N+), then divide the integers into m classes according to the remainder (0,1,2,...,m-1), and each integer belongs to and only belongs to them. For example, when m=2, the integers are divided into two types: the remainder is 0 is even, and the remainder is 1; when m=3, the integer is divided into three categories, which can be recorded as {3k}, {3k +1}, {3k+2} (k∈Z), etc. The integer remainder class is widely used in high school mathematics.