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Factoring and Multiples

Why do you add 1 to each exponent after a number is factorized to determine the number of positive factors for any given number?


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May 26, 2014 1:43PM

Suppose you have a prime factor with an exponent of n. Then that prime factor can appear 0, 1, 2, ... , n times in a compound factor: that is, there are (n+1) different exponents that it can take.