How does this theorem come about? If the difference between the sum of odd and even digits of an integer is divided by 11? How does this theorem come from? If the difference between the sum of odd and even digits of an integer is divided by 11?

This is the characteristic of divisible by 11
It shouldn't be a theorem

RELATED INFORMATIONS

1. The characteristic of a number divisible by 11 is to add up the odd digit and the even digit of a number from the right to the left, and then find the difference between them, The characteristic of Qi and its proof
2. Who can tell me the characteristics of numbers divisible by 4,8,25125 The language should be concise
3. 393 () is a four digit number. The math teacher said that I should fill in three numbers in the box, and the three four digits can be divided by 6, 11 and 8 in turn Ask the math teacher what is the sum of the three numbers? (to process) if it's good, you can increase the reward
4. Characteristics of numbers divisible by 11
5. Characteristics of numbers divisible by 11 I know if the difference between odd and even digits is a multiple of 11, but what if the odd digits are not enough? Urgent!
6. A four digit continuous natural number can be divisible by 5; 7; 9; 11 respectively to find the natural number Note that it is a four digit continuous natural number, similar to 2345; 5678
7. The natural numbers that can be divided by both 5 and 7 are arranged in a column from small to large from 35. What is the remainder of the sum of the first 1994 numbers in this column divided by 11 It must be solved by arithmetic One line, one formula Neat and easy to understand There is a small mark with a small mark
8. A natural number has 16 divisors, and this number can't be divided by 3, 5, and 8. What's the minimum of this natural number?
9. What is the minimum natural number divisible by 3, 5 and 7?
10. There are three continuous natural numbers, the smallest of which can be divided by 6, the middle by 11, and the largest by 17
11. If the difference between the sum of odd and even digits of a number can be divided by 11, then the number can be divided by 11
12. What are the characteristics of numbers divisible by 11
13. Characteristics of numbers divisible by 11
14. Given that the integer 5a6a7a8a9a can be divided by 11, find all integers satisfying this condition
15. In natural numbers less than 5000, the number that can be divided by 11 but not by 5 and 7 is ()
16. The sum of all natural numbers less than 300 divisible by 3 but not multiples of 5 is ()
17. At 1, 2, 3 Of the 2000 natural numbers, there are______ Natural numbers can be divisible by 2 and 3 at the same time, and cannot be divisible by 5
18. At 1, 2, 3 Of the 2000 natural numbers, there are______ Natural numbers can be divisible by 2 and 3 at the same time, and cannot be divisible by 5
19. How many natural numbers within 1000 can't be divisible by 3, 5 and 8
20. Find the sum of all natural numbers that are divisible by 3 but not multiples of 5 within 1000?