B737 CREW ELECTS TO DIVERT AFTER FLAPS FAIL TO EXTEND ON APCH TO SHORT RWY.

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AS WE WERE SLOWING AND CONFIGURING TO LAND AT ZZZ1. I ASKED FOR FLAPS 5 DEGS. THE CAPT SELECTED FLAPS 5 DEGS AT WHICH TIME THE INDICATOR MOVED ABOUT .5 DEGS FOR THE R SIDE AND 0 DEGS FOR THE L AND STOPPED. NO LEADING EDGE DEVICE MOVED AT ALL. THE CAPT AND OUR OBSERVER (ANOTHER COMPANY PLT) STARTED THE CHKLIST WHILE I LEVELED OFF AND TOLD TWR THAT WE HAD A FLAP PROB THAT WE NEEDED TO WORK ON AND BREAK OFF THE APCH. IN THE MEANTIME; THE CAPT HAD MADE THE DECISION TO HEAD TO ZZZ2. I RELAYED THAT TO TWR AND WE WERE GIVEN VECTORS OUT OF THE AREA TOWARD ZZZ2. ON THE WAY TO ZZZ2 WE RAN THROUGH THE QRH AND OUR OPTIONS. RAN THE NUMBERS FOR LNDG AT 0 DEGS FLAPS AND NO LEADING EDGE; AND WITH LEADING EDGE. UPON CONTACTING ZZZ2 APCH CTL; WE ASKED FOR XXR BUT IT WAS CLOSED; SO WE LANDED ON XXL. WE HAD THE EMER EQUIP ROLL JUST IN CASE; BUT HAD AN UNEVENTFUL LNDG AND TAXI TO THE GATE. I BELIEVE THAT WE ALL HANDLED THE PROB WELL. ALL 6 OF US DID A GREAT JOB GETTING THE PLANE SAFELY AND QUICKLY ON THE GND.