MarkT:
You are being fooled by your multimeter - you cannot measure small resistance
values directly with a multimeter because the resistance of the leads and the selector-
switch in the meter itself will totally dominate the reading.
That depends on the multimeter.
A good multimeter will have a "REL" button on it. You put the probes together and hit "REL" to cancel out the impedance of the leads, etc. Now you can measure the resistor.