(adsbygoogle = window.adsbygoogle || []).push({}); "Factoring" of addition?

Is there a name for "factoring" addition? For example....let's say I'm working in a basis of all integers greater than 3. I can make 7 from 3+4; 8 from 4+4 or 3+5; 9 from 3+3+3 or 4+5 or 6+3.......

Is there a name for this? And if so...are there computer programs that will generate these sets for me?

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# Factoring of addition?

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