What is the characteristic of dividing by 3 without remainder?

The main feature is that the sum of each number can be divisible by 3.

We can accurately explain the law that there is no remainder when a number is divisible by 3. Dividing by 3 without residue means that this number must be divisible by 3, so the law of divisible by 3 without residue is that the sum of all numbers of this number can be divisible by 3.

Analysis of residual characteristics:

The remainder refers to the undivided part of the dividend in integer division, and its value range is between 0 and divisor (excluding divisor). For example, if 27 is divided by 6, the quotient is 4 and the remainder is 3. Commonly used consistency functions are:

The remainder is the same as the remainder (for example, except for two remainders 1, three remainders 1 and five remainders 1, let's make a period with common multiples). And the same addition sum (for example, divide by 7+4, divide by 8+3, and then set 56n+ 1 1), and make a period with a common multiple. Difference is the same as difference (for example, divide by 7+5, divide by 8+6, let it be 56n-2), and the common multiple is the period.