Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 13)

26. THE TABLE REFERRED TO (p. 111). 
[To face page 112. 
r 
W 
2 PAETS 
3 
PAETS 
3 
1 
4 
2 
11= 2 
2 
5 
3 
12= 5 
111 
5 x 
2= 10 
5 
2) 10 = 
5 
6 
4 
13= 6 
112 
6 X 
5= 30 
1111 
22= 3 
3 x 
4= 12 
9 
2) 42 = 
21 
7 
5 
14= 7 
113 
7 x 
6= 42 
1112 
23= 7 
7 x 
2= 14 
Î4 
2) 56 = 
28 
122 
7 x 
3= 21 
7 x 
5= 35 
2) 56 = 
28 
56 
8 
6 
15= 8 
114 
8 x 
7= 56 
1113 
24= 8 
8 x 
2= 16 
33= 4 
2 ) 72 = 
36 
20 
123 
8 x 
7= 56 
1122 
8 x 
6= 48 
4x10= 40 
2 ) 144 = 
72 
222 
8 x 
3= 24 
2 ) 24 = 
12 
Î2Ü 
9 
7 
16= 9 
115 
9 x 
8= 72 
1114 
25= 9 
34= 9 
9 x 
2= 18 
2) 90 = 
45 
27 
124 
9 x 
8= 72 
1123 
9 x 
7= 63 
9 x 
5= 45 
2 ) 180 = 
90 
133 
9 x 
4= 36 
9 x 
6= 54 
2 ) 90 = 
45 
1222 
223 
9 x 
7= 63 
9 x 
3= 27 
2 ) 90 = 
45 
225 
10 
8 
17 = 10 
116 
10 x 
9= 90 
1115 
26 = 10 
35 = 10 
44= 5 
10 x 
2= 20 
2 ) ÏÏÏÏ= 
55 
35 
125 
10 x 
9= 90 
1124 
10 x 
8= 80 
10 x 
5= 50 
2 ) 220 = 
no 
134 
10 x 
9= 90 
10 x 
7= 70 
1133 
5 x 
12= 60 
2 ) 220 = 
no 
224 
10 x 
8= 80 
5 x 
6= 30 
2 ) 110 = 
55 
1223 
233 
10 x 
4= 40 
10 x 
7= 70 
2) 110 = 
55 
385 
2222 
4 PAETS 
21 x 2= 42 
3 ) 42= 14 
28 x 5= 140 
28 x 4= 112 
3 ) 252= 84 
36 x 6= 216 
72 x 2= 144 
3 ) 360= 120 
36 x 3= 108 
72 x 5= 360 
12 x 6= 72 
3 ) 540= 180 
300 
45 x 7= 315 
90 x 2= 180 
3 ) 495 = 
165 
45 x 7= 315 
90 x 6= 540 
45x10= 450 
45 x 4= 180 
3 ) Ï485= 495 
90 x 3= 270 
45 x 5= 225 
3 ) 495 = 
165 
825 
55 x 8= 440 
HO x 2= 220 
3 ) 660= 220 
55 x 8= 440 
110 x 7= 770 
110 x 5= 550 
55 x 4= 220 
3 ) 1980= 660 
55 x 4= 220 
110 x 6= 660 
55 x 2= HO 
3 ) 990= 330 
HO x 3= 330 
55 x 6= 330 
55 x 10 = 550 
3 ) 1980= 660 
55 x 3= 165 
3) 165= 55 
1925 
5 PAETS 
mil 84 X 2= 168 
4 ) 168= 42 
11112 120 x 5= 600 
180 x 4= 720 
4) 1320= 330 
11113 
165 x 
6 = 
990 
495 x 
2 = 
990 
4) 
1980 = 
11122 
165 x 
3 = 
495 
495 x 
5 = 
2475 
165 x 
6 = 
990 
4) 
3960= 
1485 
11222 
220 x 
7= 1540 
660 x 
2= 1320 
4 ) 2860= 715 
220 x 
7= 1540 
660 x 
6= 3960 
330x10= 3300 
660 x 
4= 2640 
4 ) 11440 = 2860 
660 x 
3= 1980 
660 x 
5= 3300 
55 x 
8= 440 
4 ) 5720=1430 
5005 
6 PAETS 
mm 330x2= 660 
5 ) 660= 132 
111112 
495x5= 2475 
990x4= 3960 
5 ) 6435 = 1287 
111113 
111122 
715x6= 4290 
2860x2= 5720 
5 ) iÖÖIÖ=2002 
715x3= 2145 
2860 x 5 = 14300 
1430x6= J3580 
5 ) 25025 = 5005 
7007 
7 PAETS 
1111111 1287x2= 2574 
6 ) 2574= 429 
1111112 
2002x5 = 10010 
5005 x 4 = 20020 
6 ) 30030 = 5005 
8 PAETS 
11111111 5005x2=10010 
7 ) 10010 = 1430
	        
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