Hi Teresa,
You've only got the existing Program Types to choose from.
You could create a new program channel tag as suggested above but you may want to track you different channels (like webinar, tradeshow, email blast) on the whole regardless of which department is running them.
Perhaps what you can do is create a tag that you can add to your programs. Something that you can add to distinguish programs that are Sales Activities and programs that are Marketing Activities. You could create a tag called Activity Type or Department and have Sales and Marketing as options
So for example you can have:
a Sales program that is a trade show with the tags - Program Channel - Tradeshow, and Department - Sales
a Marketing program that is a trade show with the tags - Program Channel - Tradeshow and Department - Marketing
The great thing about tags is you can use these for report filtering.
You can find more information on tags here:
Understanding Tags - Marketo Docs - Product Docs
Use Tags in a Program - Marketo Docs - Product Docs
Create Custom Tags - Marketo Docs - Product Docs https://docs.marketo.com/display/public/DOCS/Use+Tags+in+a+Program
Create a New Program Tag and Tag Values - Marketo Docs - Product Docs