1 99:59:59,999 --> 99:59:59,999 2 99:59:59,999 --> 99:59:59,999 3 99:59:59,999 --> 99:59:59,999 4 00:00:00,740 --> 00:00:04,160 Ekri nan décomposition nan faktè premye a 75 an. 5 00:00:04,160 --> 00:00:07,390 Ekri repons ou yo sèvi nan notation exponentielle. 6 00:00:07,390 --> 00:00:08,970 Se konsa, nou gen yon sèten kantite bagay enteresan. 7 00:00:08,970 --> 00:00:12,410 Factorisation nonb premye ak di nan notation exponentielle. 8 00:00:12,410 --> 00:00:15,460 Nou pral nou soucier nan notation exponentielle apre. 9 00:00:15,460 --> 00:00:18,560 Lè sa a, anvan, nou te pou nou, nou soucier sa ki yon 10 00:00:18,560 --> 00:00:19,380 kantite premye? 11 00:00:19,380 --> 00:00:22,240 Lè yon rapèl, yon kantite premye a se yon kantite 12 00:00:22,240 --> 00:00:26,130 ki se divisible ke li menm ak sa yo egzanp 13 00:00:26,130 --> 00:00:28,880 chif premye - kite m 'ekri kèk nimewo. 14 00:00:28,880 --> 00:00:34,753 Premyèman, PA kouzine. 15 00:00:34,760 --> 00:00:36,840 Se So 2 se yon kantite premye. 16 00:00:36,840 --> 00:00:39,850 Li se sèlman divisible nan 1 ak 2. 17 00:00:39,850 --> 00:00:42,490 3 se yon lòt kantite premye. 18 00:00:42,490 --> 00:00:46,790 Koulye a, 4 PA premye yo, paske li se 19 00:00:46,790 --> 00:00:49,790 divisible nan 1, 2 ak 4. 20 00:00:49,790 --> 00:00:50,580 Nou ta ka kontinye. 21 00:00:50,580 --> 00:00:56,220 5, ak 5 se divisible ke 1 ak 5, konsa 5 se premye. 22 00:00:56,220 --> 00:00:59,920 6 PA premye paske li se divisible nan 2 ak 3. 23 00:00:59,920 --> 00:01:01,590 Mwen panse ke lide jeneral. 24 00:01:01,590 --> 00:01:04,160 Nou tout nou deplase nan 7, 7 se premye. 25 00:01:04,160 --> 00:01:06,470 Li se sèlman divisible nan 1 ak 7. 26 00:01:06,470 --> 00:01:08,220 8 PA premye. 27 00:01:08,220 --> 00:01:11,440 9 ka sonde yo di li se premye, men sonje nou, li 28 00:01:11,440 --> 00:01:15,420 se divisible nan 3, konsa 9 SE PA premye. 29 00:01:15,420 --> 00:01:18,970 Premyèman SE PA menm bagay ke nonb impairs. 30 00:01:18,970 --> 00:01:21,400 Kidonk, si ou deplase 10, 10 SE PA nesesè, 31 00:01:21,400 --> 00:01:23,560 divisible nan 2 ak 5. 32 00:01:23,560 --> 00:01:27,220 11 se divisible ke 1 ak 11, ki di 11 se 33 00:01:27,220 --> 00:01:28,240 Apre sa, yon kantite premye. 34 00:01:28,240 --> 00:01:29,780 Epi nou ta ka kontinye. 35 00:01:29,780 --> 00:01:31,570 Gen lòt moun ki te ekri nan pwogram òdinatè nan rechèch pou 36 00:01:31,570 --> 00:01:33,260 pi enpòtan, ak tout sa. 37 00:01:33,260 --> 00:01:35,220 Lè sa a, koulye a, nou konnen sa ki nan yon kantite premye, yon gwo 38 00:01:35,220 --> 00:01:39,240 factorisation rompt yon kantite tankou 75, nan yon 39 00:01:39,240 --> 00:01:41,620 pwodwi chif premye yo. 40 00:01:41,620 --> 00:01:43,180 Lè sa a, eseye fè bagay sa yo. 41 00:01:43,180 --> 00:01:45,530 Kòmanse konsa ak 75, e mwen pral fè 42 00:01:45,530 --> 00:01:49,080 ak sa ke nou rele yon factorisation twa. 43 00:01:49,080 --> 00:01:51,750 Se konsa, anvan eseye jwenn pi piti kantite premye ki 44 00:01:51,750 --> 00:01:53,890 ale nan 75 lane. 45 00:01:53,890 --> 00:01:55,430 Koulye a, pi piti a kantite premye se 2. 46 00:01:55,430 --> 00:01:57,390 Hare 2 Go nan 75? 47 00:01:57,390 --> 00:02:00,705 Se konsa, 75 se yon kantite impair oswa nimewo a nan plas moun, 48 00:02:00,705 --> 00:02:02,280 5 an, se yon kantite impair. 49 00:02:02,280 --> 00:02:06,580 5 PA divisible nan 2, konsa de p'ap kapab antre nan 75 lane. 50 00:02:06,580 --> 00:02:08,090 Lè sa a, ou ka eseye 3. 51 00:02:08,090 --> 00:02:09,639 T 3 ale nan 75 lane? 52 00:02:09,639 --> 00:02:12,440 Enben, 7 ak 5 se 12. 53 00:02:12,440 --> 00:02:15,480 12 se divisible nan 3, konsa 3 pase nan li. 54 00:02:15,480 --> 00:02:20,440 Se konsa, 75 se 3 fwa pi plis. 55 00:02:20,440 --> 00:02:22,990 Si ou deja eseye chanje, ou konnen ke si 56 00:02:22,990 --> 00:02:25,890 te gen twa chanm yo, moun ki a 75 santim, oswa si ou gen 3 57 00:02:25,890 --> 00:02:28,930 25 fwa, li te 75 an. 58 00:02:28,930 --> 00:02:31,560 Kidonk, se 3 fwa 25. 59 00:02:31,560 --> 00:02:33,720 Epi ou ka vin anpil la, si nou p'ap vle kwè mwen. 60 00:02:33,720 --> 00:02:35,960 Miltip 3 fwa 25. 61 00:02:35,960 --> 00:02:40,470 Koulye a, li divisible nan 25 - ou ka bay jiska 2. 62 00:02:40,470 --> 00:02:44,910 Si 75 SE PA divisible nan 2, 25 se p'ap divisible 63 00:02:44,910 --> 00:02:46,000 nan 2 tou. 64 00:02:46,000 --> 00:02:48,730 Men, ka 25 se divisible nan 3 fwa. 65 00:02:48,730 --> 00:02:52,290 Kidonk, si nou pran chif 2 + 5, ou jwenn 7. 66 00:02:52,290 --> 00:02:57,700 7 SE PA divisible nan 3, konsa 25 SE PA divisible nan 3. 67 00:02:57,700 --> 00:02:59,480 Kidonk, swiv: 5. 68 00:02:59,480 --> 00:03:01,430 Is 25, divisible nan 5? 69 00:03:01,430 --> 00:03:01,980 Enben, se sekirite. 70 00:03:01,980 --> 00:03:03,590 Li se 5 fwa 5. 71 00:03:03,590 --> 00:03:08,330 Se konsa, 25 se 5 fwa 5. 72 00:03:08,330 --> 00:03:11,730 Nou te fini ak nou yo premye affacturage, paske koulye a 73 00:03:11,730 --> 00:03:13,390 te tout chif premye isit la. 74 00:03:13,390 --> 00:03:18,270 Kidonk, nou ka ekri ke 75 se 3 fwa 5 fwa 5. 75 00:03:18,270 --> 00:03:25,640 Se konsa, 75 se egal 3 fwa 5 fwa 5. 76 00:03:25,640 --> 00:03:27,350 Nou kapab di ke se 3 fwa 25. 77 00:03:27,350 --> 00:03:29,400 25 se 5 fwa 5. 78 00:03:29,400 --> 00:03:33,370 3 fwa 25, 25 se 5 fwa 5. 79 00:03:33,370 --> 00:03:36,460 Se konsa, yon factorisation nonb premye a, men mwen vle 80 00:03:36,460 --> 00:03:41,690 ekri repons yo sèvi nan notation exponentielle. 81 00:03:41,690 --> 00:03:44,560 Sa vle di konsa ke jis ke si nou te repete chif yo premye, nou ka ekri 82 00:03:44,560 --> 00:03:45,920 moun ki, menm jan li rapòte. 83 00:03:45,920 --> 00:03:48,480 Lè sa a, ki se 5 nan 5? 84 00:03:48,480 --> 00:03:52,380 5 fwa 5 se 5 sitèlman li menm menm de fwa. 85 00:03:52,380 --> 00:03:56,310 Se menm bagay la ke 5 nan dezyèm pouvwa. 86 00:03:56,310 --> 00:03:58,380 Kidonk, si nou M'ap ekri nou repons avèk exponentielle 87 00:03:58,380 --> 00:04:03,420 notation, ta ka di ke se 3 fwa 5 nan 88 00:04:03,420 --> 00:04:08,110 dezyèm pouvwa a, ki se menm 5 fwa 5.