What is the relationship between addition and factorization?

[gnome]

_____ is to addition as factorize is to multiplication.

Is there a word for this?

 

[whatta]

addendize? summandize? mm, decompose?

 

[gnome]

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."

 

[verty]

It seems that one can use either sum or summate. I looked in the dictionary.

 

[CRGreathouse]

Gnome, I agree that 'partition' is used -- it's just about the only term I've read for that.