NUMBER OF FACTORS


Number of factors of N = (a+1)(b+1)(c+1)(d+1).....                                 
S.No
Number
Prime factorization

Number of Factors

NO. OF Odd factors
NO. OF Even Factors
1
2
21
(1 +1)=2
1
1
2
4
22
(2 +1) = 3
1
2
3
6
2131
(1+1)(1+1)=(2)(2)= 4
2
2
4
8
23
(3+1)=4
1
3
5
9
32
(2+1)=3
3
0
6
10
21  51
(1+1)(1+1)= (2)(2)= 4
2
2
7
12
22 31
(2 +1) (1+1) = (3)(2) = 6
2
4
8
15
31  51
(1+1)(1+1)= (2)(2)= 4
2
2
9
18
21  32
(1+1)(2+1)=(2)(3)= 6
2
4
10
20
22  51
(2+1) (1+1)= (3)(2) = 6
2
4
11
24
23 31
(3+1) (1+1)=(4)(2)= 8
2
6
12
28
22  71
(2 +1) (1+1) =  (3)(2) = 6
2
4
13
30
21  31  51
(1+1)(1+1) (1+1) =(2)(2)(2)= 8
4
4
14
32
25
(5+1)= 6
1
5
15
35
51 71
(1+1)(1+1)= (2)(2)= 4
4
0
16
40
23 51
(3+1) (1+1)= (4)(2)= 8
2
6
17
42
213171
(1+1)(1+1) (1+1) =(2)(2)(2)= 8
4
4
18
44
22  111
(2 +1) (1+1) = (3)(2) = 6
2
4
19
48
24  31
(4+1) (1+1) = (5)( 2) = 10
2
8
20
50
21  52
(1+1)(2+1)= (2)(3)= 6
3
3
21
51
31  171
(1+1)(1+1)= (2)(2)= 4
4
0
22
54
21  33   
(1+1) (3+1) =(2)(4)= 8
4
4
23
57
31  191 
(1+1)(1+1)= (2)(2)= 4
4
0
24
60
22  31  51
(2+1)(1+1) (1+1)=(3)(2)(2)= 12
4
8
25
64
26
(6+1)= 7
1
6
26
72
23  32
(3+1) (2+1)=(4)(3)= 12
3
9
27
75
31  52
(1+1)(2+1)= (2)(3)= 6
6
0
28
78
21  31  131
(1+1)(1+1) (1+1) =(2)(2)(2)= 8
4
4
29
81
34
(4+1)= 5
5
0
30
84
223171
(2+1)(1+1) (1+1) =(3)(2)(2)= 12
4
8
31
88
23 111
(3+1) (1+1)= (4)(2)= 8
2
6
32
90
21  32  51
(1+1)(2+1) (1+1) =(2)(3)(2)= 12
6
6
33
96
25  31
(5+1)(1 +1)=(6)(2)= 12
2
10
34
100
22   52
(2+1)(2 +1)=(3)(3)= 9
3
6
35
120
23  31  51
(3+1)(1+1) (1+1) =(4)(2)(2)= 16
4
12
36
121
(11)2
(2+1)= 3
3
0
37
125
53
(3+1)= 4
4
0
38
144
24  32
(4+1)(2 +1)=(5)(3)= 15
3
12
39
150
21  31  52
(1+1)(1+1) (2+1) =(2)(2)(3)= 12
6
6
40
175
52  71
(2 +1) (1+1) =  (3)(2) = 6
6
0
41
180
22  32  51
(2+1)(2+1) (1+1) =(3)(3)(2)= 18
6
12
42
196
22 72
(2+1)(2 +1)=(3)(3)= 9
3
6
43
200
23   52
(3+1) (2+1)=(4)(3)= 12
3
9
44
210
21  31 51  71
(1+1)(1+1) (1+1) (1+1) =(2)(2)(2)(2)= 16
8
8
45
225
32   52
(2+1)(2 +1)= (3)(3)= 9
9
0
46
240
24  31  51
(4+1)(1+1) (1+1) =(5)(2)(2)= 20
4
16
47
250
21   53
(1+1) (3+1) =(2)(4)= 8
4
4
48
280
23  51  71
(3+1)(1+1) (1+1) =(4)(2)(2)= 16
4
12
49
300
22   31  52
(2+1) (1+1) (2+1)  =(3)(2)(3)= 18
6
12
50
324
22   34     
(2+1)(4 +1)=(3)(5)= 15
5
10
51
350
21  52  71
(1+1)(2+1) (1+1) =(2)(3)(2)= 12
6
6
52
360
23  32  51
(3+1)(2+1) (1+1) =(4)(3)(2)= 24
6
18
53
400
24   52
(4+1)(2 +1)=(5)(3)= 15
3
12
54
420
22  31  51  71
(2+1)(1+1) (1+1) (1+1) =(3)(2)(2)(2)= 24
8
16
55
450
21  32  52
(1+1) (2+1)(2+1) =(2)(3)(3)= 18
9
9
56
480
25  31  51
(5+1)(1+1) (1+1) =(6)(2)(2)= 24
4
20
57
500
22 53
(2+1)(3+1)=(3)(4)= 12
4
8
58
525
3152 71
(1+1)(2+1) (1+1) =(2)(3)(2)= 12
12
0
59
529
(23)2
(2+1)= 3
3
0
60
540
22 33 51
(2+1) (3+1) (1+1) =(3)(4)(2)= 24
8
16
61
550
21  52 111
(1+1)(2+1) (1+1) =232= 12
6
6
62
600
23  31 52
(3+1)(1+1) (2+1) =(4)(2)(3)= 24
6
18
63
625
54
(4+1)= 5
5
0
64
650
21  52 131
(1+1)(2+1) (1+1) =(2)(3)(2)= 12
6
6
65
676
22  132
(2+1)(2 +1)=(3)(3)= 9
3
6
66
700
22  52  71
(2+1)(2+1) (1+1) =(3)(3)(2)= 18
6
12
67
720
24  32  51
(4+1)(2+1) (1+1) =(5)(3)(2)= 30
6
24
68
729
36
(6+1)= 7
7
0
69
750
21 31  53
(1+1)(1+1) (3+1) =(2)(2)(4)= 16
8
8
70
800
25   52
(5+1)(2 +1)=(6)(3)= 18
3
15
71
840
23  31  51  71
(3+1)(1+1) (1+1) (1+1) =(4)(2)(2)(2)= 32
8
24
72
841
(29)2
(2+1)= 3
3
0
73
900
22  32   52
(2+1) (2+1)(2+1) =(3)(3)(3)= 27
9
18
74
960
26  31  51
(6+1)(1+1) (1+1) =(7)(2)(2)= 28
4
24
75
961
(31)2
(2+1)= 3
3
0
76
1000
23   53
(3+1)(3+1)=(4)(4)= 16
4
12
77
1024
210
(10+1)= 11
1
10
78
1200
24   31  52
(4+1) (1+1) (2+1) =(5)(2)(3)= 30
6
24
79
1296
24   34
(4+1)(4+1)=(5)(= 25
5
20
80
1500
22  31  53
(2+1) (1+1) (3+1)  =(3)(2)(4)= 24
8
16
81
1600
26  52
(6+1)(2+1)=(7)(= 21
3
18
82
1800
23  32  52
(3+1) (2+1)(2+1) =(4)(3)(3)= 36
9
27
83
2400
25   31  52
(5+1) (1+1)(2+1) =(6)(2)(3)= 36
6
30
84
2500
22 54
(2+1)(4+1)=(3)(5)= 15
5
10
85
2800
24  52  71
(4+1)(2+1) (1+1) =(5)(3)(2)= 30
6
24
86
3000
23  31  53
(3+1)(1+1) (3+1) =(4)(2)(4)= 32
8
24
87
3200
27  52
(7+1)(2+1)=(8)(= 24
3
21
88
3500
22 53 71
(2+1) (3+1) (1+1) =(3)(4)(2)= 24
8
16
89
3600
24  32   52
(4+1) (2+1) (2+1) =(5)(3)(3)= 45
9
36
90
4800
26   31  52
(6+1) (1+1) (2+1) =(7)(2)(3)= 42
6
36
S-BATCH