Exponential Factorization. New Mathematical term

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Please note new mathematical term. Exponential Factorization. This is the ability to divide a integer to one, and only one prime.
This term I have invented relates to exponential notation.
Note not all integers can have exponential factorization.

The integer 81 can have Exponential Factorization, 82 cannot. 81 = 3x3x3x3= 81 or 3 to the forth power.
82 cannot.

Please help publish or spread the word of this term. If you feel this term is not correct, please state in mathematical terms why not.
It is correct. This term invented by Mark R. Eaton copyright 2013