Can I adjust code to use lower potentiometer value?

i'm working on project use potentiometers control several motors. want know if it's possible modify code adapt potentiometer lower resistance normal. say, allow 2k pot control in place of 10k pot.

i assume mean pot between 5volt , ground, wiper going analogue input.
then pot can value. working voltage divider.
no code adjustment.

i keep values between 1k , 50k.
too low, , pot use power.
too high, , a/d converter becomes inaccurate.
leo..

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