Characteristics of numbers divisible by 3,7,9,11

Characteristics of numbers divisible by 3,7,9,11

If the sum of the digits of an integer can be divided by 3, then the integer can be divided by 3. If the number of digits of an integer is truncated, and then 2 times of the number of digits is subtracted from the remaining number, if the difference is a multiple of 7, then the original number can be divided by 7. If the difference is too big or it is difficult to see whether it is a multiple of 7 by mental calculation, we need to continue the above "truncate, multiply