Abram was called Abraham. Isaac was called Abraham, as it is stated: “This is the legacy of Isaac, Abraham’s son; Abraham.” Jacob was called Israel, as it is written: “He said: No longer will Jacob be said to be your name, but rather, Israel” (Genesis 32:29). Isaac was called Israel, as it is written: “These are the names of the children of Israel who came to Egypt with Jacob [et Yaakov]” (Exodus 1:1).4The midrash interprets the verse as saying that Jacob is included in “the children of Israel.”
If so, Israel in this verse is Isaac. Abraham was called Israel. Rabbi Natan said: It is a profound matter. “The dwelling of the children of Israel that they dwelled in Egypt” (Exodus 12:40), in the land of Canaan, and in the land of Goshen “was four hundred and thirty years” (Exodus 12:40).5The total starts from the Covenant of the Pieces, which God made with Abraham before Isaac was born, and the Torah refers to it as: “The dwelling of the children of Israel.”