Composite Factorization

An unexplained part of math that when asked of its existence is answered with another question from my obviously puzzled teacher who has no preference to my curiosity than to strike it down as irrelevant in an extremely question prone subject which i find precisley specified as the term 'very gay'.

Teacher: So, you find the final prime numbers and that gives you the LCD.
Me: But, teacher, sorry to interrupt but if there is prime factorization then is there composite factorization?
Teacher: You tell me.
Me: Thats what i want to know.
Teacher: Dont talk back to the teacher!
Me: But-
Teacher: Detention!
Me: Well that was pretty gay...

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