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== Properties ==
A multiplicative function is completely determined by its values at the powers of [[prime number]]s, a consequence of the [[fundamental theorem of arithmetic]]. Thus, if ''n'' is a product of powers of distinct primes, say ''n'' = ''p''<sup>''a''</sup> ''q''<sup>''b''</sup> ..., then
''f''(''n'') = ''f''(''p''<sup>''a''</sup>) ''f''(''q''<sup>''b''</sup>) ...
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