Is Voltage Divider a Noisy circuit?
It is unlikely that Johnson (thermal) noise is what is being referred to. However high impedance resistor dividers are more susceptible to picking up noise from external sources, and are less stable (because they are more susceptible to leakages). 

Use 10k's and add a decoupling capacitor (say 1-100 uF) to reduce noise to insignificant levels.