1~100所有的倍数和因数列表
解题过程如下:
1的因数 (1)2的因数(1,2)3的因数(1,3)
4的因数(1,2,4)5的因数(1,5)6的因数(1,2,3,6)
7的因数(1,7)8的因数(1,2,4,8)9的因数(1,3,9)
10的因数(1,2,5,10)11的因数(1,11)12的因数(1,2,3,4,6,12)
13的因数(1,13)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)17的因数(1,17)18的因数(1,2,3,6,9,18)
19的因数(1,19)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)23的因数(1,23)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)29的因数(1,29)30的因数(1,2,3,5,6,10,15,30)
31的因数(1,31)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)
37的因数(1,37)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)41的因数(1,41)42的因数(1,2,3,6,7,14,21,42)
43的因数(1,43)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)47的因数(1,47)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)53的因数(1,53)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)57的因数(1,57)
58的因数(1,2,29,58)59的因数(1,59)60的因数(1,2,3,4,5,6,10,12,15,20,30,60)
61的因数(1,61)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)
67的因数(1,67)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)71的因数(1,71)72的因数(1,2,3,4,6,8,9,12,18,24,36,72)
73的因数(1,73)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)
79的因数(1,79)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)83的因数(1,83)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)89的因数(1,89)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)
97的因数(1,97)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)
扩展资料:
因数,或称为约数 ,数学名词。定义: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 。公因数:定义:两个或多个整数公有的因数叫做它们的公因数。 两个或多个整数的公因数里最大的那一个叫做它们的最大公因数。
推论:1是任意个数的整数之公因数。两个成倍数关系的非零自然数之间,小的那一个数就是这两个数的最大公因数。
求法:
1.枚举法枚举法:将两个数的因数分别一一列出,从中找出其公因数,再从公因数中找出最大的一个,即为这两个数的最大公因数。
例:求30与24的最大公因数。30的正因数有:1,2,3,5,6,10,15,30。24的正因数有:1,2,3,4,6,8,12,24。易得其公因数中最大的一个是6,所以30和24的最大公因数是6。
2.短除法
短除符号就像一个倒过来的除号,短除法就是先写出要求最大公因数的两个数A、B,再画一个短除号,接着在原本写除数的位置写两个数公有的质因数Z(通常从最小的质数开始),然后在短除号的下方写出这两个数被Z整除的商a,b。
对a,b重复以上步骤,以此类推,直到最后的商互质为止,再把所有的除数相乘,其积即为A,B的最大公约数。(短除法同样适用于求最小公倍数,只需将其所有除数与最后所得的商相乘即可)
例:求12和18的最大公约数。解:用短除法,由左图,易得12和18的最大公约数为2×3=6。
例:求144的所有约数。解:所有约数(72,2)(36,4)(18,8)(9,16)(3,48)
3.分解质因数
将需要求最大公因数的两个数A,B分别分解质因数,再从中找出A、B公有的质因数,把这些公有的质因数相乘,即得A、B的最大公约数。
例:求48和36的最大公因数。把48和36分别分解质因数:48=2×2×2×2×336=2×2×3×3其中48和36公有的质因数有2、2、3,所以48和36的最大公因数是 2×2×3=12。
4.辗转相除法
(欧几里得算法)对要求最大公因数的两个数a、b,设b<a,先用b除a,得a=bq+r1(0≤r1<b)。若r1=0,则(a,b)=b;若r1≠0,则再用r1除b,得b=r1q+r2 (0≤r2<r1),若r2=0,则(a,b)=r1,若r2≠0,则继续用r2除r1……如此循环,直到能整除为止。其最后一个非零余数即为(a,b)。
这一算法的证明如下:设两数为a、b(b<a),用gcd(a,b)表示a,b的最大公约数,r=a mod b 为a除以b以后的余数,辗转相除法即是要证明gcd(a,b)=gcd(b,r)。
令c=gcd(a,b),则设a=mc,b=nc,根据前提有r =a-kb=mc-knc=(m-kn)c由上,可知c也是r的因数,故可以断定m-kn与n互素【否则,可设m-kn=xd,n=yd,(d>1),则m=kn+xd=kyd+xd=(ky+x)d,则a=mc=(ky+x)dc,b=nc=ycd,故a与b最大公因数成为cd,而非c】
所以 gcd(b,r)=c,继而gcd(a,b)=gcd(b,r)。
例:求8251和6105的最大公因数。
考虑用较大数除以较小数,求得商和余数:8251=6105×1+21466105=2146×2+18132146=1813×1+333
1813=333×5+148333=148×2+37148=37×4最后除数37是148和37的最大公因数,也就是8251与6105的最大公因数。
约数也叫做因数,是因数的另一个称呼。
5.更相减损术更相减损术出自《九章算术》的一种求最大公约数的算法,它原本是为约分而设计的,但它适用于任何需要求最大公约数的场合。其原文为:“可半者半之,不可半者,副置分母、子之数,以少减多,更相减损,求其等也。以等数约之。”
翻译成现代语言就是第一步:任意给定两个正整数a、b;判断它们是否都是偶数。若是,则用2约简;若不是则执行第二步。
第二步:以较大的数减较小的数,接着把所得的差与较小的数比较,并以大数减小数。继续这个操作,直到所得的减数和差相等为止。这个数就是a、b的最大公约数。
例:求98与63的最大公因数。
分析:由于63不是偶数,把98和63以大数减小数,并辗转相减:98-63=3563-35=2835-28=728-7=2121-7=1414-7=7
所以,98和63的最大公约数为7。注:以上首三个方法同样适用于求多个自然数的最大公约数。
参考资料:百度百科-约数
1
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,
491,49,7
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,
73:1,73
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,
97:1, 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
参考资料:百度百科—因数
2的倍数:2,4,6,8,10,12,14,16,18/2的因数:1,2
3的倍数:3,6,9,12,15,18,21,24,27/3的因数:1,3
4的倍数:4,8,12,16,20,24,28,32,36/4的因数:1,2,4
5的倍数:5,10,15,20,25,30,35,40,45/5的因数:1,5
6的倍数:6,12,18,24,30,36,42,48,54/6的因数:1,2,3,6
7的倍数:7,14,21,28,35,42,49,56,63/7的因数:1,7
8的倍数:8,16,24,32,40,48,56,64,72/8的因数:1,2,4,8
9的倍数:9,18,27,36,45,54,63,72,81/9的因数:1,3,9
10的倍数:10,20,30,40,50,60,70,80,90/10的因数:1,2,5,10
11的倍数:11,22,33,44,55,66,77,88,99/11的因数:1,11
12的倍数:12,24,36,48,60,72,84,96,108/12的因数:1,2,3,4,6,12
13的倍数:13,26,39,52,65,78,91,104,117/13的因数:1,13
14的倍数:14,28,42,56,70,84,98,112,126/14的因数:1,2,7,14
15的倍数:15,30,45,60,75,90,105,120,135/15的因数:1,3,5,15
16的倍数:16,32,48,64,80,96,112,128,144/16的因数:1,2,4,8,16
17的倍数:17,34,51,68,85,102,119,136,153/17的因数:1,17
18的倍数:18,36,54,72,90,108,126,144,162/18的因数:1,2,3,6,9,18
19的倍数:19,38,57,76,95,114,133,152,171/19的因数:1,19
20的倍数:20,40,60,80,100,120,140,160,180/20的因数:1,2,4,5,10,20
21的倍数:21,42,63,84,105,126,147,168,189/21的因数:1,3,7,21
22的倍数:22,44,66,88,110,132,154,176,198/22的因数:1,2,11,22
23的倍数:23,46,69,92,115,138,161,184,207/23的因数:1,23
24的倍数:24,48,72,96,120,144,168,192,216/24的因数:1,2,3,4,6,8,12,24
25的倍数:25,50,75,100,125,150,175,200,225/25的因数:1,5,25
26的倍数:26,52,78,104,130,156,182,208,234/26的因数:1,2,13,26
27的倍数:27,54,81,108,135,162,189,216,243/27的因数:1,3,9,27
28的倍数:28,56,84,112,140,168,196,224,252/28的因数:1,2,4,7,14,28
29的倍数:29,58,87,116,145,174,203,232,261/29的因数:1,29
30的倍数:30,60,90,120,150,180,210,240,270/30的因数:1,2,3,5,6,10,15,30
31的倍数:31,62,93,124,155,186,217,248,279/31的因数:1,31
32的倍数:32,64,96,128,160,192,224,256,288/32的因数:1,2,4,8,16,32
33的倍数:33,66,99,132,165,198,231,264,297/33的因数:1,3,11,33
34的倍数:34,68,102,136,170,204,238,272,306/34的因数:1,2,17,34
35的倍数:35,70,105,140,175,210,245,280,315/35的因数:1,5,7,35
36的倍数:36,72,108,144,180,216,252,288,324/36的因数:1,2,3,4,6,9,12,18,36
37的倍数:37,74,111,148,185,222,259,296,333/37的因数:1,37
38的倍数:38,76,114,152,190,228,266,304,342/38的因数:1,2,19,38
39的倍数:39,78,117,156,195,234,273,312,351/39的因数:1,3,13,39
40的倍数:40,80,120,160,200,240,280,320,360/40的因数:1,2,4,5,8,10,20,40
41的倍数:41,82,123,164,205,246,287,328,369/41的因数:1,41
42的倍数:42,84,126,168,210,252,294,336,378/42的因数:1,2,3,6,7,14,21,42
43的倍数:43,86,129,172,215,258,301,344,387/43的因数:1,43
44的倍数:44,88,132,176,220,264,308,352,396/44的因数:1,2,4,11,22,44
45的倍数:45,90,135,180,225,270,315,360,405/45的因数:1,3,5,9,15,45
46的倍数:46,92,138,184,230,276,322,368,414/46的因数:1,2,23,46
47的倍数:47,94,141,188,235,282,329,376,423/47的因数:1,47
48的倍数:48,96,144,192,240,288,336,384,432/48的因数:1,2,3,4,6,8,12,16,24,48
49的倍数:49,98,147,196,245,294,343,392,441/49的因数:1,7,49
50的倍数:50,100,150,200,250,300,350,400,450/50的因数:1,2,5,10,25,50
51的倍数:51,102,153,204,255,306,357,408,459/51的因数:1,3,17,51
52的倍数:52,104,156,208,260,312,364,416,468/52的因数:1,2,4,13,26,52
53的倍数:53,106,159,212,265,318,371,424,477/53的因数:1,53
54的倍数:54,108,162,216,270,324,378,432,486/54的因数:1,2,3,6,9,18,27,54
55的倍数:55,110,165,220,275,330,385,440,495/55的因数:1,5,11,55
56的倍数:56,112,168,224,280,336,392,448,504/56的因数:1,2,4,7,8,14,28,56
57的倍数:57,114,171,228,285,342,399,456,513/57的因数:1,3,19,57
58的倍数:58,116,174,232,290,348,406,464,522/58的因数:1,2,29,58
59的倍数:59,118,177,236,295,354,413,472,531/59的因数:1,59
60的倍数:60,120,180,240,300,360,420,480,540/60的因数:1,2,3,4,5,6,10,12,15,20,30,60
61的倍数:61,122,183,244,305,366,427,488,549/61的因数:1,61
62的倍数:62,124,186,248,310,372,434,496,558/62的因数:1,2,31,62
63的倍数:63,126,189,252,315,378,441,504,567/63的因数:1,3,7,9,21,63
64的倍数:64,128,192,256,320,384,448,512,576/64的因数:1,2,4,8,16,32,64
65的倍数:65,130,195,260,325,390,455,520,585/65的因数:1,5,13,65
66的倍数:66,132,198,264,330,396,462,528,594/66的因数:1,2,3,6,11,22,33,66
67的倍数:67,134,201,268,335,402,469,536,603/67的因数:1,67
68的倍数:68,136,204,272,340,408,476,544,612/68的因数:1,2,4,17,34,68
69的倍数:69,138,207,276,345,414,483,552,621/69的因数:1,3,23,69
70的倍数:70,140,210,280,350,420,490,560,630/70的因数:1,2,5,7,10,14,35,70
71的倍数:71,142,213,284,355,426,497,568,639/71的因数:1,71
72的倍数:72,144,216,288,360,432,504,576,648/72的因数:1,2,3,4,6,8,9,12,18,24,36,72
73的倍数:73,146,219,292,365,438,511,584,657/73的因数:1,73
74的倍数:74,148,222,296,370,444,518,592,666/74的因数:1,2,37,74
75的倍数:75,150,225,300,375,450,525,600,675/75的因数:1,3,5,15,25,75
76的倍数:76,152,228,304,380,456,532,608,684/76的因数:1,2,4,19,38,76
77的倍数:77,154,231,308,385,462,539,616,693/77的因数:1,7,11,77
78的倍数:78,156,234,312,390,468,546,624,702/78的因数:1,2,3,6,13,26,39,78
79的倍数:79,158,237,316,395,474,553,632,711/79的因数:1,79
80的倍数:80,160,240,320,400,480,560,640,720/80的因数:1,2,4,5,8,10,16,20,40,80
81的倍数:81,162,243,324,405,486,567,648,729/81的因数:1,3,9,27,81
82的倍数:82,164,246,328,410,492,574,656,738/82的因数:1,2,41,82
83的倍数:83,166,249,332,415,498,581,664,747/83的因数:1,83
84的倍数:84,168,252,336,420,504,588,672,756/84的因数:1,2,3,4,6,7,12,14,21,28,42,84
85的倍数:85,170,255,340,425,510,595,680,765/85的因数:1,5,17,85
86的倍数:86,172,258,344,430,516,602,688,774/86的因数:1,2,43,86
87的倍数:87,174,261,348,435,522,609,696,783/87的因数:1,3,29,87
88的倍数:88,176,264,352,440,528,616,704,792/88的因数:1,2,4,8,11,22,44,88
89的倍数:89,178,267,356,445,534,623,712,801/89的因数:1,89
90的倍数:90,180,270,360,450,540,630,720,810/90的因数:1,2,3,5,6,9,10,15,18,30,45,90
91的倍数:91,182,273,364,455,546,637,728,819/91的因数:1,7,13,91
92的倍数:92,184,276,368,460,552,644,736,828/92的因数:1,2,4,23,46,92
93的倍数:93,186,279,372,465,558,651,744,837/93的因数:1,3,31,93
94的倍数:94,188,282,376,470,564,658,752,846/94的因数:1,2,47,94
95的倍数:95,190,285,380,475,570,665,760,855/95的因数:1,5,19,95
96的倍数:96,192,288,384,480,576,672,768,864/96的因数:1,2,3,4,6,8,12,16,24,32,48,96
97的倍数:97,194,291,388,485,582,679,776,873/97的因数:1,97
98的倍数:98,196,294,392,490,588,686,784,882/98的因数:1,2,7,14,49,98
99的倍数:99,198,297,396,495,594,693,792,891/99的因数:1,3,9,11,33,99
100的倍数:100,200,300,400,500,600,700,800,900/100的因数:1,2,4,5,10,20,25,50,100
1的倍数:1,2,3,4,5,6,7,8,9/1的因数:1
2的倍数:2,4,6,8,10,12,14,16,18/2的因数:1,2
3的倍数:3,6,9,12,15,18,21,24,27/3的因数:1,3
4的倍数:4,8,12,16,20,24,28,32,36/4的因数:1,2,4
5的倍数:5,10,15,20,25,30,35,40,45/5的因数:1,5
6的倍数:6,12,18,24,30,36,42,48,54/6的因数:1,2,3,6
7的倍数:7,14,21,28,35,42,49,56,63/7的因数:1,7
8的倍数:8,16,24,32,40,48,56,64,72/8的因数:1,2,4,8
9的倍数:9,18,27,36,45,54,63,72,81/9的因数:1,3,9
10的倍数:10,20,30,40,50,60,70,80,90/10的因数:1,2,5,10
11的倍数:11,22,33,44,55,66,77,88,99/11的因数:1,11
12的倍数:12,24,36,48,60,72,84,96,108/12的因数:1,2,3,4,6,12
13的倍数:13,26,39,52,65,78,91,104,117/13的因数:1,13
14的倍数:14,28,42,56,70,84,98,112,126/14的因数:1,2,7,14
15的倍数:15,30,45,60,75,90,105,120,135/15的因数:1,3,5,15
16的倍数:16,32,48,64,80,96,112,128,144/16的因数:1,2,4,8,16
17的倍数:17,34,51,68,85,102,119,136,153/17的因数:1,17
18的倍数:18,36,54,72,90,108,126,144,162/18的因数:1,2,3,6,9,18
19的倍数:19,38,57,76,95,114,133,152,171/19的因数:1,19
20的倍数:20,40,60,80,100,120,140,160,180/20的因数:1,2,4,5,10,20
21的倍数:21,42,63,84,105,126,147,168,189/21的因数:1,3,7,21
22的倍数:22,44,66,88,110,132,154,176,198/22的因数:1,2,11,22
23的倍数:23,46,69,92,115,138,161,184,207/23的因数:1,23
24的倍数:24,48,72,96,120,144,168,192,216/24的因数:1,2,3,4,6,8,12,24
25的倍数:25,50,75,100,125,150,175,200,225/25的因数:1,5,25
26的倍数:26,52,78,104,130,156,182,208,234/26的因数:1,2,13,26
27的倍数:27,54,81,108,135,162,189,216,243/27的因数:1,3,9,27
28的倍数:28,56,84,112,140,168,196,224,252/28的因数:1,2,4,7,14,28
29的倍数:29,58,87,116,145,174,203,232,261/29的因数:1,29
30的倍数:30,60,90,120,150,180,210,240,270/30的因数:1,2,3,5,6,10,15,30
31的倍数:31,62,93,124,155,186,217,248,279/31的因数:1,31
32的倍数:32,64,96,128,160,192,224,256,288/32的因数:1,2,4,8,16,32
33的倍数:33,66,99,132,165,198,231,264,297/33的因数:1,3,11,33
34的倍数:34,68,102,136,170,204,238,272,306/34的因数:1,2,17,34
35的倍数:35,70,105,140,175,210,245,280,315/35的因数:1,5,7,35
36的倍数:36,72,108,144,180,216,252,288,324/36的因数:1,2,3,4,6,9,12,18,36
37的倍数:37,74,111,148,185,222,259,296,333/37的因数:1,37
38的倍数:38,76,114,152,190,228,266,304,342/38的因数:1,2,19,38
39的倍数:39,78,117,156,195,234,273,312,351/39的因数:1,3,13,39
40的倍数:40,80,120,160,200,240,280,320,360/40的因数:1,2,4,5,8,10,20,40
41的倍数:41,82,123,164,205,246,287,328,369/41的因数:1,41
42的倍数:42,84,126,168,210,252,294,336,378/42的因数:1,2,3,6,7,14,21,42
43的倍数:43,86,129,172,215,258,301,344,387/43的因数:1,43
44的倍数:44,88,132,176,220,264,308,352,396/44的因数:1,2,4,11,22,44
45的倍数:45,90,135,180,225,270,315,360,405/45的因数:1,3,5,9,15,45
46的倍数:46,92,138,184,230,276,322,368,414/46的因数:1,2,23,46
47的倍数:47,94,141,188,235,282,329,376,423/47的因数:1,47
48的倍数:48,96,144,192,240,288,336,384,432/48的因数:1,2,3,4,6,8,12,16,24,48
49的倍数:49,98,147,196,245,294,343,392,441/49的因数:1,7,49
50的倍数:50,100,150,200,250,300,350,400,450/50的因数:1,2,5,10,25,50
51的倍数:51,102,153,204,255,306,357,408,459/51的因数:1,3,17,51
52的倍数:52,104,156,208,260,312,364,416,468/52的因数:1,2,4,13,26,52
53的倍数:53,106,159,212,265,318,371,424,477/53的因数:1,53
54的倍数:54,108,162,216,270,324,378,432,486/54的因数:1,2,3,6,9,18,27,54
55的倍数:55,110,165,220,275,330,385,440,495/55的因数:1,5,11,55
56的倍数:56,112,168,224,280,336,392,448,504/56的因数:1,2,4,7,8,14,28,56
57的倍数:57,114,171,228,285,342,399,456,513/57的因数:1,3,19,57
58的倍数:58,116,174,232,290,348,406,464,522/58的因数:1,2,29,58
59的倍数:59,118,177,236,295,354,413,472,531/59的因数:1,59
60的倍数:60,120,180,240,300,360,420,480,540/60的因数:1,2,3,4,5,6,10,12,15,20,30,60
61的倍数:61,122,183,244,305,366,427,488,549/61的因数:1,61
62的倍数:62,124,186,248,310,372,434,496,558/62的因数:1,2,31,62
63的倍数:63,126,189,252,315,378,441,504,567/63的因数:1,3,7,9,21,63
64的倍数:64,128,192,256,320,384,448,512,576/64的因数:1,2,4,8,16,32,64
65的倍数:65,130,195,260,325,390,455,520,585/65的因数:1,5,13,65
66的倍数:66,132,198,264,330,396,462,528,594/66的因数:1,2,3,6,11,22,33,66
67的倍数:67,134,201,268,335,402,469,536,603/67的因数:1,67
68的倍数:68,136,204,272,340,408,476,544,612/68的因数:1,2,4,17,34,68
69的倍数:69,138,207,276,345,414,483,552,621/69的因数:1,3,23,69
70的倍数:70,140,210,280,350,420,490,560,630/70的因数:1,2,5,7,10,14,35,70
71的倍数:71,142,213,284,355,426,497,568,639/71的因数:1,71
72的倍数:72,144,216,288,360,432,504,576,648/72的因数:1,2,3,4,6,8,9,12,18,24,36,72
73的倍数:73,146,219,292,365,438,511,584,657/73的因数:1,73
74的倍数:74,148,222,296,370,444,518,592,666/74的因数:1,2,37,74
75的倍数:75,150,225,300,375,450,525,600,675/75的因数:1,3,5,15,25,75
76的倍数:76,152,228,304,380,456,532,608,684/76的因数:1,2,4,19,38,76
77的倍数:77,154,231,308,385,462,539,616,693/77的因数:1,7,11,77
78的倍数:78,156,234,312,390,468,546,624,702/78的因数:1,2,3,6,13,26,39,78
79的倍数:79,158,237,316,395,474,553,632,711/79的因数:1,79
80的倍数:80,160,240,320,400,480,560,640,720/80的因数:1,2,4,5,8,10,16,20,40,80
81的倍数:81,162,243,324,405,486,567,648,729/81的因数:1,3,9,27,81
82的倍数:82,164,246,328,410,492,574,656,738/82的因数:1,2,41,82
83的倍数:83,166,249,332,415,498,581,664,747/83的因数:1,83
84的倍数:84,168,252,336,420,504,588,672,756/84的因数:1,2,3,4,6,7,12,14,21,28,42,84
85的倍数:85,170,255,340,425,510,595,680,765/85的因数:1,5,17,85
86的倍数:86,172,258,344,430,516,602,688,774/86的因数:1,2,43,86
87的倍数:87,174,261,348,435,522,609,696,783/87的因数:1,3,29,87
88的倍数:88,176,264,352,440,528,616,704,792/88的因数:1,2,4,8,11,22,44,88
89的倍数:89,178,267,356,445,534,623,712,801/89的因数:1,89
90的倍数:90,180,270,360,450,540,630,720,810/90的因数:1,2,3,5,6,9,10,15,18,30,45,90
91的倍数:91,182,273,364,455,546,637,728,819/91的因数:1,7,13,91
92的倍数:92,184,276,368,460,552,644,736,828/92的因数:1,2,4,23,46,92
93的倍数:93,186,279,372,465,558,651,744,837/93的因数:1,3,31,93
94的倍数:94,188,282,376,470,564,658,752,846/94的因数:1,2,47,94
95的倍数:95,190,285,380,475,570,665,760,855/95的因数:1,5,19,95
96的倍数:96,192,288,384,480,576,672,768,864/96的因数:1,2,3,4,6,8,12,16,24,32,48,96
97的倍数:97,194,291,388,485,582,679,776,873/97的因数:1,97
98的倍数:98,196,294,392,490,588,686,784,882/98的因数:1,2,7,14,49,98
99的倍数:99,198,297,396,495,594,693,792,891/99的因数:1,3,9,11,33,99
100的倍数:100,200,300,400,500,600,700,800,900/100的因数:1,2,4,5,10,20,25,50,100
1 2 3 5 7 11 13 17 19 21 23 27 29 31 37 41 43 47 49 51 53 57 ......
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1~100所有的倍数和因数列表视频
相关评论:
傅轻药答:19,倍数是190,380如此类推 20,倍数是20,40,60如此类推 因数: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,不考虑0。倍数 ①一个整数能够被...
傅轻药答:100的因数有1、2、4、5、10、20、25、50、100;其中素因数有两个,分别是2和5。整数A乘以整数B得到整数C,整数A与整数B都称做整数C的因数;反之,整数C为整数A的倍数,也为整数B的倍数。因数的相关知识点:1、因数和倍数的表达 因数和倍数表示的是一个数与另一个数的关系,它们是两个相互...
傅轻药答:一个数的最大因数是它本身,因此这个数是12,它的所有因数有1 -2-3-4-6-12。100以内的倍数有12-24-36-48-60-72-84-96。
傅轻药答:所以不算。7不是30的因数,所以也不是质因数。公因数只有1的两个非零自然数,叫做互质数。1个非零自然数的正因数的个数是有限的,其中最小的是1,最大的是它本身。而一个非零自然数的倍数的个数是无限的。所有不为零的整数都是0的因数。(还有争议)2是最小的质数。4是最小的合数。
傅轻药答:质数:2、3、5、7、11、13、17、19 合数:1、4、6、8、9、10、12、14、15、16、18、20 因数:全部都是 100以内20的倍数:0、20、40、60、80、100 如有帮助请采纳,手机则点击右上角的满意。谢谢!!
傅轻药答:100以内12的因数:1,2,3,4,6,12 100以内12的倍数:12,24,36,48,60,72,84,96
傅轻药答:1到90的因数倍数,举其中的5个如下:10的因数有:1、2、5、10;10的倍数有无数个,如:10、20、30、40、50、……11的因数有:1、11;11的倍数有无数个,如:11、22、33、44、55、……7的因数有:1、7;7的倍数有无数个,如:7、14、21、28、35……13的因数有:1、13;13的倍数...
傅轻药答:且a是质数,则称a是b的质因数。例如2,3,5均为30的质因数。6不是质数,所以不算。7不是30的因数,所以也不是质因数。6、公因数只有1的两个非零自然数,叫做互质数。7、1个非零自然数的正因数的个数是有限的,其中最小的是1,最大的是它本身。而一个非零自然数的倍数的个数是无限的。
傅轻药答:这个数是24,它的因数有:1、2、3、4、6、8、12、24,这个数100以内的倍数有:24、48、72、96。
傅轻药答:第3类:3的倍数(3,9,15,……,99共17个)第4类:5的倍数(5,25,35,55,65,85,95共7个)第5类:7的倍数(7,49,77,91共4个)第6类:11的倍数(11共1个)……第26类:97的倍数(97共1个)从1~100任意挑数,假设没有8个数公因数大于1,那么最多能挑出多少个数呢?第1类及第...