1.1~100的因数表
1 1 2 1 2 3 1 3 4 1 2 4 5 1 5 6 1 2 3 6 7 1 7 8 1 2 4 8 9 1 3 9 10 1 2 5 10 11 1 11 12 1 2 3 4 6 12 13 1 13 14 1 2 7 14 15 1 3 5 15 16 1 2 4 8 16 17 1 17 18 1 2 3 6 9 18 19 1 19 20 1 2 4 5 10 20 21 1 3 7 21 22 1 2 11 22 23 1 23 24 1 2 3 4 6 8 12 24 25 1 5 25 26 1 2 13 26 27 1 3 9 27 28 1 2 4 7 14 28 29 1 29 30 1 2 3 5 6 10 15 30 31 1 31 32 1 2 4 8 16 32 33 1 3 11 33 34 1 2 17 34 35 1 5 7 35 36 1 2 3 4 6 9 12 18 36 37 1 37 38 1 2 19 38 39 1 3 13 39 40 1 2 4 5 8 10 20 40 41 1 41 42 1 2 3 6 7 14 21 42 43 1 43 44 1 2 4 11 22 44 45 1 3 5 9 15 45 46 1 2 23 46 47 1 47 48 1 2 3 4 6 8 12 16 24 48 49 1 7 49 50 1 2 5 10 25 50 51 1 3 17 51 52 1 2 4 13 26 52 53 1 53 54 1 2 3 6 9 18 27 54 55 1 5 11 55 56 1 2 4 7 8 14 28 56 57 1 3 19 57 58 1 2 29 58 59 1 59 60 1 2 3 4 5 6 10 12 15 20 30 60 61 1 61 62 1 2 31 62 63 1 3 7 9 21 63 64 1 2 4 8 16 32 64 65 1 5 13 65 66 1 2 3 6 11 22 33 66 67 1 67 68 1 2 4 17 34 68 69 1 3 23 69 70 1 2 5 7 10 14 35 70 71 1 71 72 1 2 3 4 6 8 9 12 18 24 36 72 73 1 73 74 1 2 37 74 75 1 3 5 15 25 75 76 1 2 4 19 38 76 77 1 7 11 77 78 1 2 3 6 13 26 39 78 79 1 79 80 1 2 4 5 8 10 16 20 40 80 81 1 3 9 27 81 82 1 2 41 82 83 1 83 84 1 2 3 4 6 7 12 14 21 28 42 84 85 1 5 17 85 86 1 2 43 86 87 1 3 29 87 88 1 2 4 8 11 22 44 88 89 1 89 90 1 2 3 5 6 9 10 15 18 30 45 90 91 1 7 13 91 92 1 2 4 23 46 92 93 1 3 31 93 94 1 2 47 94 95 1 5 19 95 96 1 2 3 4 6 8 12 16 24 32 48 96 97 1 97 98 1 2 7 14 49 98 99 1 3 9 11 33 99 100 1 2 4 5 10 20 25 50 100。
2.100的因数有
100的全部因数为:1、100、2、50、4、25、5、20、10。
小学数学定义:假如a*b=c(a、b、c都是整数),那么我们称a和b就是c的因数。需要注意的是,唯有被除数,除数,商皆为整数,余数为零时,此关系才成立。 反过来说,我们称c为a、b的倍数。在研究因数和倍数时,小学数学不考虑0。
事实上因数一般定义在整数上:设A为整数,B为非零整数,若存在整数Q,使得A=QB,则称B是A的因数,记作B|A。但是也有的作者不要求B≠0。
100=1*100=2*50=4*25=5*20=10*10,由此可得:100的全部因数为:1、100、2、50、4、25、5、20、10。
扩展资料:
找一个数的倍数的方法有:依次加这个数或依次乘1、2、3用乘法口诀等,也比较容易。这节课的难点在于,找一个数的因数。在找一个数的因数时最常犯的错误就是漏找,即找不全。
找一个数的因数的方法,就用这个数从1开始去除,一直除到除数和商出现相近、相邻、相同时,然后找出等号左右两边的数,这些数就是要找的这个数的因数,重复的因数,只写一个。这种方法有助于学生的有序的思考,能形成明晰的解题思路,不容易漏找。
例如:找出36的因数,我们也可以可以直接用36去除以1、2、3、4、5一直除到除数和商是同一个数时,就不再去除了。36不是5的倍数,那么就可以不用去除以5。
36÷1=36、36÷2=28、36÷3=12、36÷4=9、当36÷6=6时我们就不用往下除了,在这些算式中就可以找出36的所有因数,36的因数有1,36,2,18,3,12,4,9,6。也就是刚才算式中等号左右两边的数。可以按照从小到大的顺序写,36的因数有:1,2,3,4,6,9,12,18,36。
3.写出1至100每个数的因数
1:1 2:1,2 3:1,3 4:1,2,4 5:1,5 6:1,2,3,6 7:1,7 8:1,2,4,8 9:1,3,9 10:1,2,5,10 11:1,11 12:1,2,3,4,6,12 13:1,13 14:1,2,7,14 15:1,3,5,15 16:1,2,4,8,16 17:1,17 18:1,2,3,6,9,18 19:1,19 20:1,2,4,5,10,20 21:1,3,7,21 22:1,2,11,22 23:1,23 24:1,2,3,4,6,8,12,24 25:1,5,25 26:1,2,13,26 27:1,3,9,27 28:1,2,4,7,14,28 29:1,29 30:1,2,3,5,6,10,15,30 31:1,31 32:1,2,4,8,16,32 33:1,3,11,33 34:1,2,17,34 35:1,5,7,35 36:1,2,3,4,6,9,12,18,36 37:1,37 38:1,2,19,38 39:1,3,13,39 40:1,2,4,5,8,10,20,40 41:1,41 42:1,2,3,6,7,14,21,42 43:1,43 44:1,2,4,11,22,44 45:1,3,5,9,15,45 46:1,2,23,46 47:1,47 48:1,2,3,4,6,8,12,16,24,48 49:1,7,49 50:1,2,5,10,25,50 51:1,3,17,51 52:1,2,4,13,26,52 53:1,53 54:1,2,3,6,9,18,27,54 55:1,5,11,55 56:1,2,4,7,8,14,28,56 57:1,3,19,57 58:1,2,29,58 59:1,59 60:1,2,3,4,5,6,10,12,15,20,30,60 61:1,61 62:1,2,31,62 63:1,3,7,9,21,63 64:1,2,4,8,16,32,64 65:1,5,13,65 66:1,2,3,6,11,22,33,66 67:1,67 68:1,2,4,17,34,68 69:1,3,23,69 70:1,2,5,7,10,14,35,70 71:1,71 72:1,2,3,4,6,8,9,12,18,24,36,72 73:1,73 74:1,2,37,74 75:1,3,5,15,25,75 76:1,2,4,19,38,76 77:1,7,11,77 78:1,2,3,6,13,26,39,78 79:1,79 80:1,2,4,5,8,10,16,20,40,80 81:1,3,9,27,81 82:1,2,41,82 83:1,83 84:1,2,3,4,6,7,12,14,21,28,42,84 85:1,5,17,85 86:1,2,43,86 87:1,3,29,87 88:1,2,4,8,11,22,44,88 89:1,89 90:1,2,3,5,6,9,10,15,18,30,45,90 91:1,7,13,91 92:1,2,4,23,46,92 93:1,3,31,93 94:1,2,47,94 95:1,5,19,95 96:1,2,3,4,6,8,12,16,24,32,48,96 97:1,97 98:1,2,7,14,49,98 99:1,3,9,11,33,99 100:1,2,4,5,10,20,25,50,100。
4.写出1至100每个数的因数
1:1 2:1,2 3:1,3 4:1,2,4 5:1,5 6:1,2,3,6 7:1,7 8:1,2,4,8 9:1,3,9 10:1,2,5,10 11:1,11 12:1,2,3,4,6,12 13:1,13 14:1,2,7,14 15:1,3,5,15 16:1,2,4,8,16 17:1,17 18:1,2,3,6,9,18 19:1,19 20:1,2,4,5,10,20 21:1,3,7,21 22:1,2,11,22 23:1,23 24:1,2,3,4,6,8,12,24 25:1,5,25 26:1,2,13,26 27:1,3,9,27 28:1,2,4,7,14,28 29:1,29 30:1,2,3,5,6,10,15,30 31:1,31 32:1,2,4,8,16,32 33:1,3,11,33 34:1,2,17,34 35:1,5,7,35 36:1,2,3,4,6,9,12,18,36 37:1,37 38:1,2,19,38 39:1,3,13,39 40:1,2,4,5,8,10,20,40 41:1,41 42:1,2,3,6,7,14,21,42 43:1,43 44:1,2,4,11,22,44 45:1,3,5,9,15,45 46:1,2,23,46 47:1,47 48:1,2,3,4,6,8,12,16,24,48 49:1,7,49 50:1,2,5,10,25,50 51:1,3,17,51 52:1,2,4,13,26,52 53:1,53 54:1,2,3,6,9,18,27,54 55:1,5,11,55 56:1,2,4,7,8,14,28,56 57:1,3,19,57 58:1,2,29,58 59:1,59 60:1,2,3,4,5,6,10,12,15,20,30,60 61:1,61 62:1,2,31,62 63:1,3,7,9,21,63 64:1,2,4,8,16,32,64 65:1,5,13,65 66:1,2,3,6,11,22,33,66 67:1,67 68:1,2,4,17,34,68 69:1,3,23,69 70:1,2,5,7,10,14,35,70 71:1,71 72:1,2,3,4,6,8,9,12,18,24,36,72 73:1,73 74:1,2,37,74 75:1,3,5,15,25,75 76:1,2,4,19,38,76 77:1,7,11,77 78:1,2,3,6,13,26,39,78 79:1,79 80:1,2,4,5,8,10,16,20,40,80 81:1,3,9,27,81 82:1,2,41,82 83:1,83 84:1,2,3,4,6,7,12,14,21,28,42,84 85:1,5,17,85 86:1,2,43,86 87:1,3,29,87 88:1,2,4,8,11,22,44,88 89:1,89 90:1,2,3,5,6,9,10,15,18,30,45,90 91:1,7,13,91 92:1,2,4,23,46,92 93:1,3,31,93 94:1,2,47,94 95:1,5,19,95 96:1,2,3,4,6,8,12,16,24,32,48,96 97:1,97 98:1,2,7,14,49,98 99:1,3,9,11,33,99 100:1,2,4,5,10,20,25,50,100。
5.1到100的因数有哪些,太难了
1到100的因数如下:1: 12: 1,23: 1,34: 1,2,45: 1,56: 1,2,3,67: 1,78: 1,2,4,89: 1,3,910: 1,2,5,1011: 1,1112: 1,2,3,4,6,1213: 1,1314: 1,2,7,1415: 1,3,5,1516: 1,2,4,8,1617: 1,1718: 1,2,3,6,9,1819: 1,1920: 1,2,4,5,10,2021: 1,3,7,2122: 1,2,11,2223: 1,2324: 1,2,3,4,6,8,12,2425: 1,5,2526: 1,2,13,2627: 1,3,9,2728: 1,2,4,7,14,2829: 1,2930: 1,2,3,5,6,10,15,3031: 1,3132: 1,2,4,8,16,3233: 1,3,11,3334: 1,2,17,3435: 1,5,7,3536: 1,2,3,4,6,9,12,18,36 37: 1,3738: 1,2,19,3839: 1,3,13,3940: 1,2,4,5,8,10,20,4041: 1,4142: 1,2,3,6,7,14,21,4243: 1,4344: 1,2,4,11,22,4445: 1,3,5,9,15,4546: 1,2,23,4647: 1,4748: 1,2,3,4,6,8,12,16,24,48 49: 1,7,491,49,750: 1,2,5,10,25,5051: 1,3,17,5152: 1,2,4,13,26,5253: 1,5354: 1,2,3,6,9,18,27,5455: 1,5,11,5556: 1,2,4,7,8,14,28,5657: 1,3,19,5758: 1,2,29,5859: 1,5960: 1,2,3,4,5,6,10,12,15,20,30,6061: 1,6162: 1,2,31,6263: 1,3,7,9,21,6364: 1,2,4,8,16,32,6465: 1,5,13,6566: 1,2,3,6,11,22,33,6667: 1,6768: 1,2,4,17,34,6869: 1,3,23,6970: 1,2,5,7,10,14,35,7071: 1,7172: 1,2,3,4,6,8,9,12,18,24,36,72 73: 1,73:1,7374: 1,2,37,7475: 1,3,5,15,25,7576: 1,2,4,19,38,7677: 1,7,11,7778: 1,2,3,6,13,26,39,7879: 1,7980: 1,2,4,5,8,10,16,20,40,80 81: 1,3,9,27,8182: 1,2,41,8283: 1,8384: 1,2,3,4,6,7,12,14,21,28,42,84 85: 1,5,17,8586: 1,2,43,8687: 1,3,29,8788: 1,2,4,8,11,22,44,8889: 1,8990: 1,2,3,5,6,9,10,15,18,30,45,9091: 1,7,13,9192: 1,2,4,23,46,9293: 1,3,31,9394: 1,2,47,9495: 1,5,19,9596: 1,2,3,4,6,8,12,16,24,32,48,96 97: 1,97:1, 9798: 1,2,7,14,49,9899: 1,3,9,11,33,99100: 1,2,4,5,10,20,25,50,100 因数或称为约数:整数a除以整数b(b≠0) 的商正好是整数而没有余数,我们就说b是a的因数。
0不是0的因数。扩展资料 公约数与公倍数相反,就是既是A的约数同时也是B的约数的数,12和15的公约数有1,3,最大公约数就是3。
再举个例子,30和40,它们的公约数有1,2,5,10,最大公约数是10。公约数,亦称“公因数”。
它是一个能被若干个整数同时均整除的整数。如果一个整数同时是几个整数的约数,称这个整数为它们的“公约数”;公约数中最大的称为最大公约数。
对任意的若干个正整数,1总是它们的公因数。如果数a能被数b整除,a就叫做b的倍数,b就叫做a的约数。
约数和倍数都表示一个整数与另一个整数的关系,不能单独存在。如只能说16是某数的倍数,2是某数的约数,而不能孤立地说16是倍数,2是约数。
6.100以内的所有因数例如:1的因数有:12的因数有:1、2···一直
1:1 2:1,2 3:1,3 4:1,2,4 5:1,5 6:1,2,3,6 7:1,7 8:1,2,4,8 9:1,3,9 10:1,2,5,10 11:1,11 12:1,2,3,4,6,12 13:1,13 14:1,2,7,14 15:1,3,5,15 16:1,2,4,8,16 17:1,17 18:1,2,3,6,9,18 19:1,19 20:1,2,4,5,10,20 21:1,3,7,21 22:1,2,11,22 23:1,23 24:1,2,3,4,6,8,12,24 25:1,5,25 26:1,2,13,26 27:1,3,9,27 28:1,2,4,7,14,28 29:1,29 30:1,2,3,5,6,10,15,30 31:1,31 32:1,2,4,8,16,32 33:1,3,11,33 34:1,2,17,34 35:1,5,7,35 36:1,2,3,4,6,9,12,18,36 37:1,37 38:1,2,19,38 39:1,3,13,39 40:1,2,4,5,8,10,20,40 41:1,41 42:1,2,3,6,7,14,21,42 43:1,43 44:1,2,4,11,22,44 45:1,3,5,9,15,45 46:1,2,23,46 47:1,47 48:1,2,3,4,6,8,12,16,24,48 49:1,7,49 50:1,2,5,10,25,50 51:1,3,17,51 52:1,2,4,13,26,52 53:1,53 54:1,2,3,6,9,18,27,54 55:1,5,11,55 56:1,2,4,7,8,14,28,56 57:1,3,19,57 58:1,2,29,58 59:1,59 60:1,2,3,4,5,6,10,12,15,20,30,60 61:1,61 62:1,2,31,62 63:1,3,7,9,21,63 64:1,2,4,8,16,32,64 65:1,5,13,65 66:1,2,3,6,11,22,33,66 67:1,67 68:1,2,4,17,34,68 69:1,3,23,69 70:1,2,5,7,10,14,35,70 71:1,71 72:1,2,3,4,6,8,9,12,18,24,36,72 73:1,73 74:1,2,37,74 75:1,3,5,15,25,75 76:1,2,4,19,38,76 77:1,7,11,77 78:1,2,3,6,13,26,39,78 79:1,79 80:1,2,4,5,8,10,16,20,40,80 81:1,3,9,27,81 82:1,2,41,82 83:1,83 84:1,2,3,4,6,7,12,14,21,28,42,84 85:1,5,17,85 86:1,2,43,86 87:1,3,29,87 88:1,2,4,8,11,22,44,88 89:1,89 90:1,2,3,5,6,9,10,15,18,30,45,90 91:1,7,13,91 92:1,2,4,23,46,92 93:1,3,31,93 94:1,2,47,94 95:1,5,19,95 96:1,2,3,4,6,8,12,16,24,32,48,96 97:1,97 98:1,2,7,14,49,98 99:1,3,9,11,33,99 100:1,2,4,5,10,20,25,50,100。
7.100以内的所有因数
质数的因数是1和其本身1到100之间的质数有(1,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97)4的因数(1,2,4)6的因数(1,2,3,6)8的因数(1,2,4,8)9的因数(1,3,9)10的因数(1,2,5,10)12的因数(1,2,3,4,6,12)14的因数(1,2,7,14)15的因数(1,3,5,15)16的因数(1,2,4,8,16)18的因数(1,2,3,6,9,18)20的因数(1,2,4,5,10,20)21的因数(1,3,7,21)22的因数(1,2,11,22)24的因数(1,2,3,4,6,8,12,24)25的因数(1,5,25)26的因数(1,2,13,26)27的因数(1,3,9,27)28的因数(1,2,4,7,14,28)30的因数(1,2,3,5,6,10,15,30)32的因数(1,2,4,8,16,32)33的因数(1,3,11,33)34的因数(1,2,17,34)35的因数(1,5,7,35)36的因数(1,2,3,4,9,12,18,36)38的因数(1,2,19,38)39的因数(1,3,13,39)40的因数(1,2,4,5,8,10,20 ,40)42的因数(1,2,3,6,7,14,21,42)44的因数(1,2,4,11,22,44)45的因数(1,3,5,9,15,45)46的因数(1,2,23,46)48的因数(1,2,3,4,6,8,12,16,24,48)49的因数(1,7,49)50的因数(1,2,5,10,25,50)51的因数(1,17,3,51)52的因数(1,2,4,13,26,52)54的因数(1,2,3,6,9,18,27,54)55的因数(1,5,11,55)56的因数(1,2,4,7,8,14,28,56)58的因数(1,2,29,58)60的因数(1,2,3,4,5,6,10,12,15,20,30,60)62的因数(1,2,31,62)63的因数(1,3,7,9,21,63)64的因数(1,2,4,8,16,32,64)65的因数(1,5,13,65)66的因数(1,2,3,6,11,22,33,66)68的因数(1,2,4,17,34,68)69的因数(1,3,23,69)70的因数(1,2,5,7,10,14,35,70)72的因数(1,2,3,4,6,8,9,12,18,24,36,72)74的因数(1,2,37,74)75的因数(1,3,5,15,25,75)76的因数(1,2,4,19,38,76)77的因数(1,7,11,77)78的因数(1,2,3,6,13,26,39,78)80的因数(1,2,4,5,8,10,16,20,40,80)81的因数(1,3,9,27,81)82的因数(1,2,41,82)84的因数(1,2,4,7,3,12,21,28,42,84)85的因数(1,5,17,85)86的因数(1,2,43,86)87的因数(1,3,29,87)88的因数(1,2,4,8,11,22,44,88)90的因数(1,2,3,5,9,10,18,30,45,90)91的因数(1,7,13,91)92的因数(1,2,4,23,46,92)93的因数(1,3,31,93)94的因数(1,2,47,94)95的因数(1,5,19,95)96的因数(1,2,3,4,6,8,12,16,24,32,48,96)98的因数(1,2,7,14,49,98)99的因数(1,3,9,11,33,99)100的因数(1,2,4,5,10,20,25,50,100)。
8.100以内合数的因数有哪些
100以内的合数(包括100)有4.6.8.9.10.12.14.15.16.18.20.21.22.24.25.26.27.28.30.32.33.34.35.36.38.39.40.42.44.45.46.48.49.50.51.52.54.55.56.57.58.60.62.63.64.65.66.68.69.70.72.74.75.76.77.78. 80.81.82.84.85.86.87.88.90.91.92.93.94.95.96.98.99.100。
自己再去分解,就可以得出因数