How did the Hyksos take over Lower Egypt?

The Hyksos convinced ancient Egyptians that the gods no longer wanted them to be ruled by a pharaoh.
The Hyksos allowed most ancient Egyptians to stay, but they defeated all of the local leaders during a battle.
Famine and the rise of local leaders allowed the Hyksos to use their greater technology to conquer Lower Egypt.
The Hyksos ruled harshly and removed all of the native Egyptians from the area.