2 Kings 17:6 -- In the ninth year of Hoshea the king of Assyria captured Samaria, and he carried the Israelites away to Assyria, and placed them in Halah, and on the Habor, the river of Gozan, and in the cities of the Medes.
Judah and Benjamin, the Jews, remained in their settlements in the southern part, Jerusalem, and so on. Historically you remember them as "Israel" but that denomination is a misnomer.
Now pay attention to what the prophets said:
And Yahweh will scatter you among all people, from one end of the earth to the other, and there you shall serve other gods, of wood and stone, which neither you nor your fathers have known, Deut 28:64.
This statement is true for both Jacob and Judah, Israel and the Jews. Both parts have been scattered around the world.
For lo, I will command and shake the house of Israel among all the nations as one shakes with a sieve, but no pebble shall fall upon the earth, Amos 9:9.
If here Amos speaks of a difference between the Jews and Israel, we can see how Jacob, not the Jews, was scattered among the nations.
Jer 32:37 -- For behold, days are coming, says Yahweh, when I will restore the fortunes of my people, Israel and Judah. I will bring them back to the land which I gave to their fathers and they shall take possession of it.
Now we can see how the prophets began to distinguish between Israel and Judah, Jacob and the Jews.
This is explicitly stated in Ezek 37:
As Isaiah said in 11:12-13:
He will raise an ensign for the nations, and will assemble the outcasts of Israel, and gather the despised of Judah from the four corners of the earth. The jealousy of Ephraim shall depart, and those who harass Judah shall be cut off. Ephraim shall not be jealous of Judah and Judah shall not harass Ephraim.
You cannot understand biblical prophecy without recognition of these passages. And you cannot understand where God is going with us without penetrating these prophecies.