Two chaps, Bill and Tom, run into each other after not having seen each other for many years. Tom asks Bill if he has any family. Knowing that Tom was a bit of a genius when it comes to number Bill replied, "yes I've three daughters" and challenged Tom to work out their ages. Tom, relishing the challenge was only too happy to show off his mental ability.

"The first clue", said Bill, "is that the sum of their ages is 13". 

"Secondly, the product of their ages is your age Tom"

Tom thought for a moment and said he still couldn't work it out.

"Well the final clue is that the oldest daughter has red hair"

"Aha", proclaimed Tom and quick as a flash reeled off their ages!

The question is: can you also deduce the ages of the daughters?

Note: this is not a tick question. Assume the ages can only be integers