What is the relationship between addition and factorization?

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_____ is to addition as factorize is to multiplication.

Is there a word for this?
 
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addendize? summandize? mm, decompose?
 
No, i think decompose means the same as factorize, i.e. multiplication, as in matrix decomposition.

But I think I just found my answer further down the page in the the "number partition" thread. I guess the word I'm looking for is "partition."

Wikipedia agrees:
"In number theory, a partition of a positive integer n is a way of writing n as a sum of positive integers."
 
It seems that one can use either sum or summate. I looked in the dictionary.
 
Gnome, I agree that 'partition' is used -- it's just about the only term I've read for that.
 

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