Abraham's father was Terah, and his mother was a woman named Amatlah, daughter of Carnabu.
According to the Book of Genesis ch.11, Terah was the son of Nahor, who was the son of Serug, who was the son of Reu, who was the son of Peleg, who was the son of Eber, who was the son of Shelah, who was the son of Arpachshad, who was the son of Shem, who was one of the sons of Noah.
Terah had three sons: Abram, Haran, and Nahor. According to Genesis 20:12, Sarah, Abraham's wife, was his half-neice (Terah's granddaughter by a wife other than Abraham's mother). Terah lived in "Ur of the Chaldees," where his son Haran died, leaving behind his son Lot. Terah later migrated with Abraham (probably his youngest son) and Lot (his grandson), together with their families, from Ur. He intended to go with them to Canaan but he stayed in Harran, where he died at the age of 205 years (Genesis 11:24-32). Abram moved his family out of Harran when Terah was 145 years old (Gen 11:31,32). The Book of Joshua reports that Terah worshipped other gods (Josh. 24:2).
The Midrash regards Terah as wicked (E.g., Numbers Rabbah 19:1; 19:33). Rabbi Hiyya said that Terah manufactured idols and told the following account: Terah once went away and left Abraham to mind the store. A woman came with a plateful of flour and asked Abraham to offer it to the idols. Abraham took a stick, broke the idols, and put the stick in the largest idol's hand. When Terah returned, he demanded that Abraham explain what he had done. Abraham told Terah that the idols fought among themselves and the largest broke the others with the stick. "Why do you make sport of me?" Terah cried, "Do they have any knowledge?" Abraham replied, "Listen to what you are saying!" Terah then delivered Abraham to King Nimrod for punishment (Genesis Rabbah 38:13). The Zohar says that when God saved Abraham from Nimrod's furnace, Terah repented (Zohar, Bereshit 1:77b). Rabbi ABBA b. Kahana said that God assured Abraham that his father Terah had a portion in the World to Come, meaning that Terah repented of his idolatry before dying (Genesis Rabbah 30:4; 30:12).
His father is Terra. His mother is not mentioned in the Bible.
Abrahams challenges were that he had to protect his kids.
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