その工場では

at that factory

→ 其の
phrase Rare #33,632
at that factory その工場 means “that factory,” and では marks the factory as the place or context where something happens. Depending on context, it can also mean “in that factory.”
JA: その工場では、新しい製品を作っています。
EN: They make new products at that factory.

その工場では多くの労働者解雇された

Many workers were laid off at that factory.

その工場では水の汚染を取り除く事を試みている

They are trying to eliminate water pollution at that factory.

その工場では設備はすべて最新式のものだった

All the equipment at that factory was state-of-the-art.

その工場では新型車を製造しています

That factory manufactures new-model cars.

その工場では毎年大勢のバカ製造される

That factory churns out a lot of idiots every year.

— きっと、うまくいく (2009)