Question: Who is Hulagu Khan's paternal grandmother?

Knowledge 1: Hulagu Khan
Hulagu Khan, also known as Hülegü or Hulegu ("Hulâgu xân"; Arabic: هولاكو خان/ هَلَاوُن; ; 8 February 1265), was a Mongol ruler who conquered much of Western Asia.Son of Tolui and the Keraite princess Sorghaghtani Beki, he was a grandson of Genghis Khan and brother of Ariq Böke, Möngke Khan, and Kublai Khan.Hulagu's army greatly expanded the southwestern portion of the Mongol Empire, founding the Ilkhanate of Persia, a precursor to the eventual Safavid dynasty, and then the modern state of Iran.Under Hulagu's leadership, the siege of Baghdad (1258) destroyed Baghdad's standing in the Islamic world and weakened Damascus, causing a shift of Islamic influence to the Mamluk Sultanate in Cairo and ended the Abbasid Dynasty. [SEP] Knowledge 2: Tolui
Tolui, (Classic Mongolian:Toluy, Tului, , , Tolui Khan (meaning the Khan Tolui))(c.1191–1232) was the fourth son of Genghis Khan by his chief khatun Börte.His "ulus", or territorial inheritance, at his father's death in 1227 was the homelands in Mongolia, and it was he who served as civil administrator until 1229, the time it took to confirm Ögedei as second Great Khan of the Mongol Empire (1206–1368).Before that he had served with distinction in the campaigns against the Jin dynasty, the Western Xia and the Khwarezmid Empire, where he was instrumental in the capture and massacre at Merv and Nishapur.He is a direct ancestor of most of the Ilkhanids.Tolui never used the title of Khagan himself; neither Genghis Khan nor his immediate three successors would ever use any reigning titles unlike the neighboring Chinese dynasties in the south.Tolui was awarded the title of Khagan by his son Möngke and was given a temple name (Chinese: 元睿宗; pinyin: Yuán Ruìzōng; Wade–Giles: Jui-Tsung) by his other son Kublai, when he established the Yuan dynasty a few decades later.
Knowledge 1: Hulagu Khan
Hulagu Khan, also known as Hülegü or Hulegu ("Hulâgu xân"; Arabic: هولاكو خان/ هَلَاوُن; ; 8 February 1265), was a Mongol ruler who conquered much of Western Asia.Son of Tolui and the Keraite princess Sorghaghtani Beki, he was a grandson of Genghis Khan and brother of Ariq Böke, Möngke Khan, and Kublai Khan.Hulagu's army greatly expanded the southwestern portion of the Mongol Empire, founding the Ilkhanate of Persia, a precursor to the eventual Safavid dynasty, and then the modern state of Iran.Under Hulagu's leadership, the siege of Baghdad (1258) destroyed Baghdad's standing in the Islamic world and weakened Damascus, causing a shift of Islamic influence to the Mamluk Sultanate in Cairo and ended the Abbasid Dynasty. [SEP] Knowledge 2: Kaoru Hatoyama
After the elections of 2009, she became more widely known as the grandmother of Prime Minister Yukio Hatoyama and his politician brother Kunio Hatoyama.
Knowledge 1: Hulagu Khan
Hulagu Khan, also known as Hülegü or Hulegu ("Hulâgu xân"; Arabic: هولاكو خان/ هَلَاوُن; ; 8 February 1265), was a Mongol ruler who conquered much of Western Asia.Son of Tolui and the Keraite princess Sorghaghtani Beki, he was a grandson of Genghis Khan and brother of Ariq Böke, Möngke Khan, and Kublai Khan.Hulagu's army greatly expanded the southwestern portion of the Mongol Empire, founding the Ilkhanate of Persia, a precursor to the eventual Safavid dynasty, and then the modern state of Iran.Under Hulagu's leadership, the siege of Baghdad (1258) destroyed Baghdad's standing in the Islamic world and weakened Damascus, causing a shift of Islamic influence to the Mamluk Sultanate in Cairo and ended the Abbasid Dynasty. [SEP] Knowledge 2: Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.

Answer: Börte