Recall that metric prefixes represent specific powers of ten, which are used to express multiples or fractions of units.
Identify the factor 0.01 as a decimal number, which can be rewritten as \(10^{-2}\) in scientific notation.
Match the factor \(10^{-2}\) to the corresponding metric prefix. For example, 'deci-' corresponds to \(10^{-1}\), 'milli-' to \(10^{-3}\), and 'micro-' to \(10^{-6}\).
Recognize that the prefix 'centi-' corresponds to \(10^{-2}\), which matches the factor 0.01.
Therefore, the metric prefix representing the factor 0.01 is 'centi-'.