Hello, BG5965!

Dr. Jenson writes a number on the whiteboard.

He then writes 221 to the right hand side of this number,

which ends in a new number which is amultipleof the old number.

What is the original number? -- Find all possible solutions.

Let be the original number.

If 221 is appended to the right end, the new number is: .

If this is a multiple of , we have: . . for some integer

Then we have: .

Since is an integer, must be a factor of 221.

The only factors of 221 are: .

Therefore: .