Recall that metric prefixes represent specific powers of ten, which correspond to multiplication or division factors.
Identify the factor associated with each prefix: micro- corresponds to \(10^{-6}\), deci- corresponds to \(10^{-1}\), centi- corresponds to \(10^{-2}\), and milli- corresponds to \(10^{-3}\).
Understand that a factor of 1/100 is equivalent to \(10^{-2}\), since 100 is \$10^2$ and its reciprocal is \(10^{-2}\).
Match the factor \(10^{-2}\) to the correct prefix, which is centi-.
Conclude that the metric prefix representing a factor of 1/100 is centi-.