Suppose you overheard the following conversation: William: I have three children. Harry: What are their ages? William: The product of their ages is 36. Harry: I can't determine their ages. William: Th

Suppose you overheard the following conversation:

William: I have three children.

Harry: What are their ages?

William: The product of their ages is 36.

Harry: I can't determine their ages.

William: The sum of their ages is your apartment number.

Harry: I still can't do it.

William: The oldest plays football.

Harry: OK, now I know their ages.

Determining the ages of the three children is possible from this information. What are they?