The genealogy of the sons of Noah begins in Genesis 10 and expands upon Shem in Genesis 11 up to Abram (Abraham).

21 And children were born also to Shem, the father of all the children of Eber, the brother of Japheth the elder. 22 The sons of Shem were Elam, Asshur, Arphaxad, Lud, and Aram. 23 The sons of Aram were Uz, Hul, Gether, and Mash.[a] 24 Arphaxad begot Salah,[b] and Salah begot Eber. 25 To Eber were born two sons: the name of one was Peleg, for in his days the earth was divided; and his brother's name was Joktan. 26 Joktan begot Almodad, Sheleph, Hazarmaveth, Jerah, 27 Hadoram, Uzal, Diklah, 28 Obal,[c] Abimael, Sheba, 29 Ophir, Havilah, and Jobab. All these were the sons of Joktan. 30 And their dwelling place was from Mesha as you go toward Sephar, the mountain of the east. 31 These were the sons of Shem, according to their families, according to their languages, in their lands, according to their nations.

In the King James version

the word - begat - appears 67 times, sometimes the same person is referenced more than once.

1. 98 Gen 4:18 And unto Enoch was born Irad: and Irad begat Mehujael: and Mehujael begat Methusael: and Methusael begat Lamech.
2. 109 Gen 5:3 And Adam lived an hundred and thirty years, and begat a son in his own likeness, and after his image; and called his name Seth:
3. 110 Gen 5:4 And the days of Adam after he had begotten Seth were eight hundred years: and he begat sons and daughters:
4. 112 Gen 5:6 And Seth lived an hundred and five years, and begat Enos:
5. 113 Gen 5:7 And Seth lived after he begat Enos eight hundred and seven years, and begat sons and daughters:
6. 115 Gen 5:9 And Enos lived ninety years, and begat Cainan:
7. 116 Gen 5:10 And Enos lived after he begat Cainan eight hundred and fifteen years, and begat sons and daughters:
8. 118 Gen 5:12 And Cainan lived seventy years and begat Mahalaleel:
9. 119 Gen 5:13 And Cainan lived after he begat Mahalaleel eight hundred and forty years, and begat sons and daughters:
10. 121 Gen 5:15 And Mahalaleel lived sixty and five years, and begat Jared:
11. 122 Gen 5:16 And Mahalaleel lived after he begat Jared eight hundred and thirty years, and begat sons and daughters:
12. 124 Gen 5:18 And Jared lived an hundred sixty and two years, and he begat Enoch:
13. 125 Gen 5:19 And Jared lived after he begat Enoch eight hundred years, and begat sons and daughters:
14. 127 Gen 5:21 And Enoch lived sixty and five years, and begat Methuselah:
15. 128 Gen 5:22 And Enoch walked with God after he begat Methuselah three hundred years, and begat sons and daughters:
16. 131 Gen 5:25 And Methuselah lived an hundred eighty and seven years, and begat Lamech.
17. 132 Gen 5:26 And Methuselah lived after he begat Lamech seven hundred eighty and two years, and begat sons and daughters:
18. 134 Gen 5:28 And Lamech lived an hundred eighty and two years, and begat a son:
19. 136 Gen 5:30 And Lamech lived after he begat Noah five hundred ninety and five years, and begat sons and daughters:
20. 138 Gen 5:32 And Noah was five hundred years old: and Noah begat Shem, Ham, and Japheth.
21. 148 Gen 6:10 And Noah begat three sons, Shem, Ham, and Japheth.
22. 243 Gen 10:8 And Cush begat Nimrod: he began to be a mighty one in the earth.
23. 248 Gen 10:13 And Mizraim begat Ludim, and Anamim, and Lehabim, and Naphtuhim,
24. 250 Gen 10:15 And Canaan begat Sidon his first born, and Heth,
25. 259 Gen 10:24 And Arphaxad begat Salah; and Salah begat Eber.
26. 261 Gen 10:26 And Joktan begat Almodad, and Sheleph, and Hazarmaveth, and Jerah,
27. 277 Gen 11:10 These are the generations of Shem: Shem was an hundred years old, and begat Arphaxad two years after the flood:
28. 278 Gen 11:11 And Shem lived after he begat Arphaxad five hundred years, and begat sons and daughters.
29. 279 Gen 11:12 And Arphaxad lived five and thirty years, and begat Salah:
30. 280 Gen 11:13 And Arphaxad lived after he begat Salah four hundred and three years, and begat sons and daughters.
31. 281 Gen 11:14 And Salah lived thirty years, and begat Eber:
32. 282 Gen 11:15 And Salah lived after he begat Eber four hundred and three years, and begat sons and daughters.
33. 283 Gen 11:16 And Eber lived four and thirty years, and begat Peleg:
34. 284 Gen 11:17 And Eber lived after he begat Peleg four hundred and thirty years, and begat sons and daughters.
35. 285 Gen 11:18 And Peleg lived thirty years, and begat Reu:
36. 286 Gen 11:19 And Peleg lived after he begat Reu two hundred and nine years, and begat sons and daughters.
37. 287 Gen 11:20 And Reu lived two and thirty years, and begat Serug:
38. 288 Gen 11:21 And Reu lived after he begat Serug two hundred and seven years, and begat sons and daughters.
39. 289 Gen 11:22 And Serug lived thirty years, and begat Nahor:
40. 290 Gen 11:23 And Serug lived after he begat Nahor two hundred years, and begat sons and daughters.
41. 291 Gen 11:24 And Nahor lived nine and twenty years, and begat Terah:
42. 292 Gen 11:25 And Nahor lived after he begat Terah an hundred and nineteen years, and begat sons and daughters.
43. 293 Gen 11:26 And Terah lived seventy years, and begat Abram, Nahor, and Haran.
44. 294 Gen 11:27 Now these are the generations of Terah: Terah begat Abram, Nahor, and Haran; and Haran begat Lot.
45. 571 Gen 22:23 And Bethuel begat Rebekah: these eight Milcah did bear to Nahor, Abraham's brother.
46. 662 Gen 25:3 And Jokshan begat Sheba, and Dedan. And the sons of Dedan were Asshurim, and Letushim, and Leummim.
47. 678 Gen 25:19 And these are the generations of Isaac, Abraham's son: Abraham begat Isaac: