We demonstrate that the design of the Sloan Digital Sky Survey (SDSS) filte
r system and the quality of the SDSS imaging data are sufficient for determ
ining accurate and precise photometric redshifts of quasars. Using a sample
of 2625 quasars, we show that "photo-z" determination is even possible for
z less than or equal to2.2 despite the lack of a strong continuum break, w
hich robust photo-z techniques normally require. We find that, using our em
pirical method on our sample of objects known to be quasars, approximately
70% of the photometric redshifts are correct to within Deltaz = 0.2; the fr
action of correct photometric redshifts is even better for z >3. The accura
cy of quasar photometric redshifts does not appear to be dependent upon mag
nitude to nearly 21st magnitude in i'. Careful calibration of the color-red
shift relation to 21st magnitude may allow for the discovery of similar to
10(6) quasar candidates in addition to the 10(5) quasars that the SDSS will
confirm spectroscopically. We discuss the efficient selection of quasar ca
ndidates from imaging data for use with the photometric redshift technique
and the potential scientific uses of a large sample of quasar candidates wi
th photometric redshifts.