I am a number between 245 and 255. My factors include 2,3,4,6, and 9. What number am I?

Well...you have to be even....and you have to be divisible by 3 and 6

The only possibilties are 248, 252.

And it isn't 248 because that number isn't divisible by 9. (The sum of the digits of a number have to be divisible by 9 for that number to be divisible by 9.)

So you're 252.

Proof by factoring:

252

126 x 2

63 X 2 x 2

9 x 7 x 2 x 2

3 x 3 x 7 x 2 x 2

Note that 2.3,4,6 and 9 all divide this.

Now.......we're going to sew your number inside your coat so you won't forget it, again!!