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What is the adverb for factorship?

What's the adverb for factorship? Here's the word you're looking for.

factorially
  1. (mathematics) According to a factorial series or ratio.
  2. Synonyms:
  3. Examples:
    1. “Three stimulus frequencies were combined factorially with two input channels and three measurement procedures.”
      “These two two-level treatments were combined factorially, leading to the following four combinations.”
      “The BES is a factorially derived measure of male and female body esteem.”
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