Babylonian Multiplication Table In Base 60
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1Babylonian Multiplication Table in Base 60
2
3
4
5
6
7
8
9
10
11
12
13
14
15
20
25
30
35
40
45
50
55
2
0
4
0
6
0
8
0 10 0 12 0 14 0 16 0 18 0 20
0 22 0 24 0 26 0
28
0
30
0
40
0
50
1
0
1
10
1
20
1
30
1
40
1
50
3
0
6
0
9
0 12 0 15 0 18 0 21 0 24 0 27 0 30
0 33 0 36 0 39 0
42
0
45
1
0
1
15
1
30
1
45
2
0
2
15
2
30
2
45
4
0
8
0 12 0 16 0 20 0 24 0 28 0 32 0 36 0 40
0 44 0 48 0 52 0
56
1
0
1
20
1
40
2
0
2
20
2
40
3
0
3
20
3
40
5
0 10 0 15 0 20 0 25 0 30 0 35 0 40 0 45 0 50
0 55 1
0
1
5
1
10
1
15
1
40
2
5
2
30
2
55
3
20
3
45
4
10
4
35
6
0 12 0 18 0 24 0 30 0 36 0 42 0 48 0 54 1
0
1
6
1 12 1 18 1
24
1
30
2
0
2
30
3
0
3
30
4
0
4
30
5
0
5
30
7
0 14 0 21 0 28 0 35 0 42 0 49 0 56 1
3
1 10
1 17 1 24 1 31 1
38
1
45
2
20
2
55
3
30
4
5
4
40
5
15
5
50
6
25
8
0 16 0 24 0 32 0 40 0 48 0 56 1
4
1 12 1 20
1 28 1 36 1 44 1
52
2
0
2
40
3
20
4
0
4
40
5
20
6
0
6
40
7
20
9
0 18 0 27 0 36 0 45 0 54 1
3
1 12 1 21 1 30
1 39 1 48 1 57 2
6
2
15
3
0
3
45
4
30
5
15
6
0
6
45
7
30
8
15
10 0 20 0 30 0 40 0 50 1
0
1 10 1 20 1 30 1 40
1 50 2
0
2 10 2
20
2
30
3
20
4
10
5
0
5
50
6
40
7
30
8
20
9
10
11 0 22 0 33 0 44 0 55 1
6
1 17 1 28 1 39 1 50
2
1
2 12 2 23 2
34
2
45
3
40
4
35
5
30
6
25
7
20
8
15
9
10 10
5
12 0 24 0 36 0 48 1
0
1 12 1 24 1 36 1 48 2
0
2 12 2 24 2 36 2
48
3
0
4
0
5
0
6
0
7
0
8
0
9
0
10
0
11
0
13 0 26 0 39 0 52 1
5
1 18 1 31 1 44 1 57 2 10
2 23 2 36 2 49 3
2
3
15
4
20
5
25
6
30
7
35
8
40
9
45 10 50 11 55
14 0 28 0 42 0 56 1 10 1 24 1 38 1 52 2
6
2 20
2 34 2 48 3
2
3
16
3
30
4
40
5
50
7
0
8
10
9
20 10 30 11 40 12 50
15 0 30 0 45 1
0
1 15 1 30 1 45 2
0
2 15 2 30
2 45 3
0
3 15 3
30
3
45
5
0
6
15
7
30
8
45 10
0
11 15 12 30 13 45
16 0 32 0 48 1
4
1 20 1 36 1 52 2
8
2 24 2 40
2 56 3 12 3 28 3
44
4
0
5
20
6
40
8
0
9
20 10 40 12
0
13 20 14 40
17 0 34 0 51 1
8
1 25 1 42 1 59 2 16 2 33 2 50
3
7
3 24 3 41 3
58
4
15
5
40
7
5
8
30
9
55 11 20 12 45 14 10 15 35
18 0 36 0 54 1 12 1 30 1 48 2
6
2 24 2 42 3
0
3 18 3 36 3 54 4
12
4
30
6
0
7
30
9
0
10 30 12
0
13 30 15
0
16 30
19 0 38 0 57 1 16 1 35 1 54 2 13 2 32 2 51 3 10
3 29 3 48 4
7
4
26
4
45
6
20
7
55
9
30 11
5
12 40 14 15 15 50 17 25
20 0 40 1
0
1 20 1 40 2
0
2 20 2 40 3
0
3 20
3 40 4
0
4 20 4
40
5
0
6
40
8
20 10
0
11 40 13 20 15
0
16 40 18 20
24 0 48 1 12 1 36 2
0
2 24 2 48 3 12 3 36 4
0
4 24 4 48 5 12 5
36
6
0
8
0
10
0
12
0
14
0
16
0
18
0
20
0
22
0
25 0 50 1 15 1 40 2
5
2 30 2 55 3 20 3 45 4 10
4 35 5
0
5 25 5
50
6
15
8
20 10 25 12 30 14 35 16 40 18 45 20 50 22 55
30 1
0
1 30 2
0
2 30 3
0
3 30 4
0
4 30 5
0
5 30 6
0
6 30 7
0
7
30 10
0
12 30 15
0
17 30 20
0
22 30 25
0
27 30
35 1 10 1 45 2 20 2 55 3 30 4
5
4 40 5 15 5 50
6 25 7
0
7 35 8
10
8
45 11 40 14 35 17 30 20 25 23 20 26 15 29 10 32
5
36 1 12 1 48 2 24 3
0
3 36 4 12 4 48 5 24 6
0
6 36 7 12 7 48 8
24
9
0
12
0
15
0
18
0
21
0
24
0
27
0
30
0
33
0
40 1 20 2
0
2 40 3 20 4
0
4 40 5 20 6
0
6 40
7 20 8
0
8 40 9
20 10
0
13 20 16 40 20
0
23 20 26 40 30
0
33 20 36 40
45 1 30 2 15 3
0
3 45 4 30 5 15 6
0
6 45 7 30
8 15 9
0
9 45 10 30 11 15 15
0
18 45 22 30 26 15 30
0
33 45 37 30 41 15
48 1 36 2 24 3 12 4
0
4 48 5 36 6 24 7 12 8
0
8 48 9 36 10 24 11 12 12
0
16
0
20
0
24
0
28
0
32
0
36
0
40
0
44
0
50 1 40 2 30 3 20 4 10 5
0
5 50 6 40 7 30 8 20
9 10 10 0 10 50 11 40 12 30 16 40 20 50 25
0
29 10 33 20 37 30 41 40 45 50
55 1 50 2 45 3 40 4 35 5 30 6 25 7 20 8 15 9 10 10 5 11 0 11 55 12 50 13 45 18 20 22 55 27 30 32
5
36 40 41 15 45 50 50 25
− −
A Table of Reciprocals in Base
60 Notation
n
2 3 4 5 6
8
9
10 12 15 16
18 20 24
25
27
30
32
36
40
45
48
50
54
1
;30 ;20 ;15 ;12 ;10 ;7 30 ;6 40 ;6 ;5 ;4 ;3 45 ;3 20 ;3 ;2 30 ;2 24 ;2 13 20 ;2 ;1 52 30 ;1 40 ;1 30 ;1 20 ;1 15 ;1 12 ;1 06 40
n
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