By the division algorithm ( with (Here denotes the largest integer not greater than x)) we have

So

And because of the divisibility property: If and then

So m divides one of or . But since another property states that if , and since it is a requirement that , we must have

Then m is a factor of 455

The factors of 455 are: 1, 455, 5, 91, 7, 65, 13, 35

By trial I get m = 91