Brewer is being sent to Federal Correctional Institution Ashland in Ashland, Ky.
Brewer pleaded guilty to four counts of a nine-count federal indictment and was sentenced Aug. 15. He also was ordered to pay $2,257 in restitution to his victims.
Prosecutors say he acted "under color of law" to deprive drivers of their constitutional right against unreasonable search and seizure.
Brewer recently filed notice to appeal his sentence.