Question

what is the divisibility rule of 22​

Answer 1

The divisibility rule for 22 is that the number is divisible by 2 and by 11. Divisibility by 2 requires that the number ends in 0, 2, 4, 6 or 8. Divisibility by 11 requires that the difference between the sum of the the digits in odd positions and the sum of all the digits in even positions is 0 or divisible by 11.

Answer 2

Answer:

The divisibility rule for 22 is that the number is divisible by 2 and by 11. Divisibility by 2 requires that the number ends in 0, 2, 4, 6 or 8. Divisibility by 11 requires that the difference between the sum of the the digits in odd positions and the sum of all the digits in even positions is 0 or divisible by 11.

how can i prove that ?

my attempt:

Indeed,

2∣N then N=2.k , and 11∣N i.e. 11∣2.k

or gcd(2,11)=1 then by Lemma gauss 11∣k, i.e. k=11p where N=2k=2.11.p=22p

Thus

22∣N

Here is your answer.

I hope it may help you.