I see. The datasheet for the LM741 quotes an input impedance of min: 1M/typ: 6M for the LM741A variant and min: 300k/typ: 2M for the non-suffix and C variants. However, what you're actually measuring is the ratio of the voltage divider formed by the external resistor (in your case the potentiometer) and input impedance of the amplifier. You're using a ratio of 1/2 because it simplifies the calculations for you. But this can be done with any resistance (assuming it's close enough to the imepdance) and thus any voltage ratio.
The theory is that the resistor and the input impedance form a voltage divider. This ratio can be expressed as:
Z/(R+Z) = Vout/Vin
Z is the amplifier input impedance. R is the resistor value. Vin is the input voltage. Vout is the measured output voltage.
If R=Z, (which is what you're aiming for in your experiment) then obviously the left side becomes R/(2R) = 1/2. However, if you solve the equation for Z, you can easily realize that you can choose any value of R (within reason; should be close to the input impedance) This gives the following formula, assuming I didn't make any mistakes.
Z = R*Vout/(Vin-Vout)
Now go find a 1M (or so) resistor and try it out.