If the integer a is divided by a non-zero integer b, the quotient is an integer, and the remainder is zero, we say that a can be divisible by b (or b can divide a), denoted as b|a. Note that if b is 0, it is not called divisible.

The nature of divisibility: (1) If a can be divisible by b, c is an arbitrary integer, then the product ac can also be divisible by b; (2) if a is divisible by b and c, and b and c are mutually prime, then a must Can be divisible by the accumulation of bc, and vice versa.

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