Kim Kardashian -- Filed for Divorce on Anniversary of 1st Encounter

October 31 isn't just the day Kim Kardashian filed for divorce ... it's the same date that Kim met Kris Humphries for the very first time at a New Jersey Nets basketball game back in 2010.

TMZ has learned ... Kim was sitting courtside at the Izod Center in NJ when she noticed the 6'9" power forward running up and down the court ... and thought he was "cute."

We're told Kim worked her magic and orchestrated a meeting with Kris ... and the two hit it off.

Kim and Kris began dating soon after ... then engaged ... then married ... and on October 31, 2011 ... Kim filed for divorce.