KenKen Puzzles

3×3 Cage Combinations

All valid digit combinations for 3×3 KenKen cages using digits 1–3.

Digits available: 1–3 • Max cage size: 3 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+
2, 3
1
6+
3, 3
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, 2, 3 2, 2, 2
2
7+
1, 3, 3 2, 2, 3
2
8+
2, 3, 3
1
9+
3, 3, 3
1

− Subtraction

2-Cell Cages

Target Possible Combinations Count
1−
1, 2 2, 3
2
2−
1, 3
1

× Multiplication

2-Cell Cages

Target Possible Combinations Count
1×
1, 1
1
2×
1, 2
1
3×
1, 3
1
4×
2, 2
1
6×
2, 3
1
9×
3, 3
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, 2, 2
1
6×
1, 2, 3
1
8×
2, 2, 2
1
9×
1, 3, 3
1
12×
2, 2, 3
1
18×
2, 3, 3
1
27×
3, 3, 3
1

÷ Division

2-Cell Cages

Target Possible Combinations Count
2÷
1, 2
1
3÷
1, 3
1
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