...although, more realistically, you're probably interested in something like the gettings started section of the docs [1]. There are also some great short example posts on the planet feed [2] from various blogs.
EDIT: I'll plug my own blog for this too, as I started writing a Beginning Factor series of posts a long time ago [3], but never got beyond a couple entries.
"Next time we’ll stick with a theme of “flow” and discuss control flow for your words and after that, the typical work flow when developing code with Factor. Hope you enjoyed this installment!"
I am still waiting for that article. Your introductions to Factor are awesome and more would be delightful.
EDIT: I'll plug my own blog for this too, as I started writing a Beginning Factor series of posts a long time ago [3], but never got beyond a couple entries.
[1] http://docs.factorcode.org/content/article-handbook.html
[2] http://planet.factorcode.org/
[3] http://elasticdog.com/2008/11/beginning-factor-introduction/