KenKen Puzzles

6×6 Cage Combinations

All valid digit combinations for 6×6 KenKen cages using digits 1–6.

Digits available: 1–6 • Max cage size: 4 cells

+ Addition − Subtraction × Multiplication ÷ Division

+ Addition

2-Cell Cages

Target Possible Combinations Count
2+
1, 1
1
3+
1, 2
1
4+
1, 3 2, 2
2
5+
1, 4 2, 3
2
6+
1, 5 2, 4 3, 3
3
7+
1, 6 2, 5 3, 4
3
8+
2, 6 3, 5 4, 4
3
9+
3, 6 4, 5
2
10+
4, 6 5, 5
2
11+
5, 6
1
12+
6, 6
1

3-Cell Cages

Target Possible Combinations Count
3+
1, 1, 1
1
4+
1, 1, 2
1
5+
1, 1, 3 1, 2, 2
2
6+
1, 1, 4 1, 2, 3 2, 2, 2
3
7+
1, 1, 5 1, 2, 4 1, 3, 3 2, 2, 3
4
8+
1, 1, 6 1, 2, 5 1, 3, 4 2, 2, 4 2, 3, 3
5
9+
1, 2, 6 1, 3, 5 1, 4, 4 2, 2, 5 2, 3, 4 3, 3, 3
6
10+
1, 3, 6 1, 4, 5 2, 2, 6 2, 3, 5 2, 4, 4 3, 3, 4
6
11+
1, 4, 6 1, 5, 5 2, 3, 6 2, 4, 5 3, 3, 5 3, 4, 4
6
12+
1, 5, 6 2, 4, 6 2, 5, 5 3, 3, 6 3, 4, 5 4, 4, 4
6
13+
1, 6, 6 2, 5, 6 3, 4, 6 3, 5, 5 4, 4, 5
5
14+
2, 6, 6 3, 5, 6 4, 4, 6 4, 5, 5
4
15+
3, 6, 6 4, 5, 6 5, 5, 5
3
16+
4, 6, 6 5, 5, 6
2
17+
5, 6, 6
1
18+
6, 6, 6
1

4-Cell Cages

Target Possible Combinations Count
4+
1, 1, 1, 1
1
5+
1, 1, 1, 2
1
6+
1, 1, 1, 3 1, 1, 2, 2
2
7+
1, 1, 1, 4 1, 1, 2, 3 1, 2, 2, 2
3
8+
1, 1, 1, 5 1, 1, 2, 4 1, 1, 3, 3 1, 2, 2, 3 2, 2, 2, 2
5
9+
1, 1, 1, 6 1, 1, 2, 5 1, 1, 3, 4 1, 2, 2, 4 1, 2, 3, 3 2, 2, 2, 3
6
10+
1, 1, 2, 6 1, 1, 3, 5 1, 1, 4, 4 1, 2, 2, 5 1, 2, 3, 4 1, 3, 3, 3 2, 2, 2, 4 2, 2, 3, 3
8
11+
1, 1, 3, 6 1, 1, 4, 5 1, 2, 2, 6 1, 2, 3, 5 1, 2, 4, 4 1, 3, 3, 4 2, 2, 2, 5 2, 2, 3, 4 2, 3, 3, 3
9
12+
1, 1, 4, 6 1, 1, 5, 5 1, 2, 3, 6 1, 2, 4, 5 1, 3, 3, 5 1, 3, 4, 4 2, 2, 2, 6 2, 2, 3, 5 2, 2, 4, 4 2, 3, 3, 4 3, 3, 3, 3
11
13+
1, 1, 5, 6 1, 2, 4, 6 1, 2, 5, 5 1, 3, 3, 6 1, 3, 4, 5 1, 4, 4, 4 2, 2, 3, 6 2, 2, 4, 5 2, 3, 3, 5 2, 3, 4, 4 3, 3, 3, 4
11
14+
1, 1, 6, 6 1, 2, 5, 6 1, 3, 4, 6 1, 3, 5, 5 1, 4, 4, 5 2, 2, 4, 6 2, 2, 5, 5 2, 3, 3, 6 2, 3, 4, 5 2, 4, 4, 4 3, 3, 3, 5 3, 3, 4, 4
12
15+
1, 2, 6, 6 1, 3, 5, 6 1, 4, 4, 6 1, 4, 5, 5 2, 2, 5, 6 2, 3, 4, 6 2, 3, 5, 5 2, 4, 4, 5 3, 3, 3, 6 3, 3, 4, 5 3, 4, 4, 4
11
16+
1, 3, 6, 6 1, 4, 5, 6 1, 5, 5, 5 2, 2, 6, 6 2, 3, 5, 6 2, 4, 4, 6 2, 4, 5, 5 3, 3, 4, 6 3, 3, 5, 5 3, 4, 4, 5 4, 4, 4, 4
11
17+
1, 4, 6, 6 1, 5, 5, 6 2, 3, 6, 6 2, 4, 5, 6 2, 5, 5, 5 3, 3, 5, 6 3, 4, 4, 6 3, 4, 5, 5 4, 4, 4, 5
9
18+
1, 5, 6, 6 2, 4, 6, 6 2, 5, 5, 6 3, 3, 6, 6 3, 4, 5, 6 3, 5, 5, 5 4, 4, 4, 6 4, 4, 5, 5
8
19+
1, 6, 6, 6 2, 5, 6, 6 3, 4, 6, 6 3, 5, 5, 6 4, 4, 5, 6 4, 5, 5, 5
6
20+
2, 6, 6, 6 3, 5, 6, 6 4, 4, 6, 6 4, 5, 5, 6 5, 5, 5, 5
5
21+
3, 6, 6, 6 4, 5, 6, 6 5, 5, 5, 6
3
22+
4, 6, 6, 6 5, 5, 6, 6
2
23+
5, 6, 6, 6
1
24+
6, 6, 6, 6
1

− Subtraction

2-Cell Cages

Target Possible Combinations Count
1−
1, 2 2, 3 3, 4 4, 5 5, 6
5
2−
1, 3 2, 4 3, 5 4, 6
4
3−
1, 4 2, 5 3, 6
3
4−
1, 5 2, 6
2
5−
1, 6
1

× Multiplication

2-Cell Cages

Target Possible Combinations Count
1×
1, 1
1
2×
1, 2
1
3×
1, 3
1
4×
1, 4 2, 2
2
5×
1, 5
1
6×
1, 6 2, 3
2
8×
2, 4
1
9×
3, 3
1
10×
2, 5
1
12×
2, 6 3, 4
2
15×
3, 5
1
16×
4, 4
1
18×
3, 6
1
20×
4, 5
1
24×
4, 6
1
25×
5, 5
1
30×
5, 6
1
36×
6, 6
1

3-Cell Cages

Target Possible Combinations Count
1×
1, 1, 1
1
2×
1, 1, 2
1
3×
1, 1, 3
1
4×
1, 1, 4 1, 2, 2
2
5×
1, 1, 5
1
6×
1, 1, 6 1, 2, 3
2
8×
1, 2, 4 2, 2, 2
2
9×
1, 3, 3
1
10×
1, 2, 5
1
12×
1, 2, 6 1, 3, 4 2, 2, 3
3
15×
1, 3, 5
1
16×
1, 4, 4 2, 2, 4
2
18×
1, 3, 6 2, 3, 3
2
20×
1, 4, 5 2, 2, 5
2
24×
1, 4, 6 2, 2, 6 2, 3, 4
3
25×
1, 5, 5
1
27×
3, 3, 3
1
30×
1, 5, 6 2, 3, 5
2
32×
2, 4, 4
1
36×
1, 6, 6 2, 3, 6 3, 3, 4
3
40×
2, 4, 5
1
45×
3, 3, 5
1
48×
2, 4, 6 3, 4, 4
2
50×
2, 5, 5
1
54×
3, 3, 6
1
60×
2, 5, 6 3, 4, 5
2
64×
4, 4, 4
1
72×
2, 6, 6 3, 4, 6
2
75×
3, 5, 5
1
80×
4, 4, 5
1
90×
3, 5, 6
1
96×
4, 4, 6
1
100×
4, 5, 5
1
108×
3, 6, 6
1
120×
4, 5, 6
1
125×
5, 5, 5
1
144×
4, 6, 6
1
150×
5, 5, 6
1
180×
5, 6, 6
1
216×
6, 6, 6
1

4-Cell Cages

Target Possible Combinations Count
1×
1, 1, 1, 1
1
2×
1, 1, 1, 2
1
3×
1, 1, 1, 3
1
4×
1, 1, 1, 4 1, 1, 2, 2
2
5×
1, 1, 1, 5
1
6×
1, 1, 1, 6 1, 1, 2, 3
2
8×
1, 1, 2, 4 1, 2, 2, 2
2
9×
1, 1, 3, 3
1
10×
1, 1, 2, 5
1
12×
1, 1, 2, 6 1, 1, 3, 4 1, 2, 2, 3
3
15×
1, 1, 3, 5
1
16×
1, 1, 4, 4 1, 2, 2, 4 2, 2, 2, 2
3
18×
1, 1, 3, 6 1, 2, 3, 3
2
20×
1, 1, 4, 5 1, 2, 2, 5
2
24×
1, 1, 4, 6 1, 2, 2, 6 1, 2, 3, 4 2, 2, 2, 3
4
25×
1, 1, 5, 5
1
27×
1, 3, 3, 3
1
30×
1, 1, 5, 6 1, 2, 3, 5
2
32×
1, 2, 4, 4 2, 2, 2, 4
2
36×
1, 1, 6, 6 1, 2, 3, 6 1, 3, 3, 4 2, 2, 3, 3
4
40×
1, 2, 4, 5 2, 2, 2, 5
2
45×
1, 3, 3, 5
1
48×
1, 2, 4, 6 1, 3, 4, 4 2, 2, 2, 6 2, 2, 3, 4
4
50×
1, 2, 5, 5
1
54×
1, 3, 3, 6 2, 3, 3, 3
2
60×
1, 2, 5, 6 1, 3, 4, 5 2, 2, 3, 5
3
64×
1, 4, 4, 4 2, 2, 4, 4
2
72×
1, 2, 6, 6 1, 3, 4, 6 2, 2, 3, 6 2, 3, 3, 4
4
75×
1, 3, 5, 5
1
80×
1, 4, 4, 5 2, 2, 4, 5
2
81×
3, 3, 3, 3
1
90×
1, 3, 5, 6 2, 3, 3, 5
2
96×
1, 4, 4, 6 2, 2, 4, 6 2, 3, 4, 4
3
100×
1, 4, 5, 5 2, 2, 5, 5
2
108×
1, 3, 6, 6 2, 3, 3, 6 3, 3, 3, 4
3
120×
1, 4, 5, 6 2, 2, 5, 6 2, 3, 4, 5
3
125×
1, 5, 5, 5
1
128×
2, 4, 4, 4
1
135×
3, 3, 3, 5
1
144×
1, 4, 6, 6 2, 2, 6, 6 2, 3, 4, 6 3, 3, 4, 4
4
150×
1, 5, 5, 6 2, 3, 5, 5
2
160×
2, 4, 4, 5
1
162×
3, 3, 3, 6
1
180×
1, 5, 6, 6 2, 3, 5, 6 3, 3, 4, 5
3
192×
2, 4, 4, 6 3, 4, 4, 4
2
200×
2, 4, 5, 5
1
216×
1, 6, 6, 6 2, 3, 6, 6 3, 3, 4, 6
3
225×
3, 3, 5, 5
1
240×
2, 4, 5, 6 3, 4, 4, 5
2
250×
2, 5, 5, 5
1
256×
4, 4, 4, 4
1
270×
3, 3, 5, 6
1
288×
2, 4, 6, 6 3, 4, 4, 6
2
300×
2, 5, 5, 6 3, 4, 5, 5
2
320×
4, 4, 4, 5
1
324×
3, 3, 6, 6
1
360×
2, 5, 6, 6 3, 4, 5, 6
2
375×
3, 5, 5, 5
1
384×
4, 4, 4, 6
1
400×
4, 4, 5, 5
1
432×
2, 6, 6, 6 3, 4, 6, 6
2
450×
3, 5, 5, 6
1
480×
4, 4, 5, 6
1
500×
4, 5, 5, 5
1
540×
3, 5, 6, 6
1
576×
4, 4, 6, 6
1
600×
4, 5, 5, 6
1
625×
5, 5, 5, 5
1
648×
3, 6, 6, 6
1
720×
4, 5, 6, 6
1
750×
5, 5, 5, 6
1
864×
4, 6, 6, 6
1
900×
5, 5, 6, 6
1
1080×
5, 6, 6, 6
1
1296×
6, 6, 6, 6
1

÷ Division

2-Cell Cages

Target Possible Combinations Count
2÷
1, 2 2, 4 3, 6
3
3÷
1, 3 2, 6
2
4÷
1, 4
1
5÷
1, 5
1
6÷
1, 6
1
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