工場 and 倉庫: making and storing
Distinguish a production site from a storage site and follow the direction in which goods move.
A place of production
工場, read こうじょう, means factory. この工場で部品を作っています。 says that parts are being made at this factory.
工場を見学しました。 means touring a factory. It does not mean working there or personally making a product.
A place of storage
倉庫, read そうこ, means warehouse. 倉庫に商品を保管しています。 means storing goods in a warehouse.
倉庫から箱を運び出しました。 means carrying boxes out of a warehouse. から identifies the source.
Both ends of a movement
工場から倉庫へ製品を運びました。 means transporting products from a factory to a warehouse. Do not reverse the origin and destination.
倉庫に届きましたが、まだ店には送っていません。 says that the item reached the warehouse but has not yet been sent to the shop. Arrival at an intermediate location and subsequent dispatch are separate stages.
What is the destination in 工場から倉庫へ製品を運びました?
Show the answer and why
The warehouse. The factory is the starting point.