More Numbers
Puzzler time. This is all about numbers.
Here we go.
If you take any 3 digit number, and repeat it...
So, take the number 247. Then repeat it, so 247,247.
Then you take that big number, 247,247 and divide it by 7.
Once you divide it by 7, you'll have a quotient. If you have a remainder, put it off to the side.
Then you take that quotient and divide by 11.
You get another quotient, put the remainder off to the side.
Then you take that quotient and divide by 13.
Okay, now you take that final quotient that you got and add the remainders that you set aside.
And when you do that, you will end up with the original 3 digit number that you started with.
This works with any 3 digit number.
And the puzzler question is, why does this work?