What is a KenKen solver?
A KenKen solver is an online tool that completes a KenKen puzzle by applying the normal row, column and cage rules. Each row and column must contain every number from 1 to the grid size, and each cage must match its arithmetic clue.
KenKen is also searched as Calcudoku, Mathdoku, KenDoku and arithmetic Sudoku. The names vary, but the solving job is the same: combine Latin-square logic with cage targets such as 12x, 7+, 3- or 2/.
- Solve a KenKen puzzle from a newspaper, app, book or worksheet.
- Check whether your current numbers are still possible.
- Test a handmade Calcudoku grid for validity.
- Find out whether a puzzle has one answer or multiple answers.
How to use this KenKen solver
Start by choosing the grid size. In cage mode, drag across connected cells to select a cage, enter its target, choose the operation, and save it. Repeat until every cell belongs to exactly one cage.
Switch to number mode if you already know some values. You can type digits from the keyboard or use the number buttons. Press Solve to fill the whole grid, or Check to see whether your givens are consistent.
- Create the grid size you need.
- Draw each cage as a connected group of cells.
- Use = for a one-cell cage.
- Use +, -, x or / for multi-cell cages.
- Solve or check the puzzle.
KenKen, Calcudoku and Mathdoku rules
The solver assumes the standard rules used by most KenKen and Calcudoku puzzles. A 6x6 grid uses the numbers 1 to 6 in every row and column. A 9x9 grid uses the numbers 1 to 9.
Cages are the outlined regions inside the grid. A cage clue gives a target number and an operation. For example, a 10+ cage must add to 10, a 24x cage must multiply to 24, and a 2/ cage must divide to 2.
- Rows cannot repeat numbers.
- Columns cannot repeat numbers.
- Every cell belongs to one cage.
- Each cage must satisfy its arithmetic clue.
Why a KenKen puzzle may have no solution
A puzzle can become impossible if a row or column already repeats a number, if a cage target cannot be reached, or if a cell is placed in the wrong cage. The solver reports those contradictions before showing an answer.
A puzzle can also have multiple solutions. Published KenKen puzzles usually aim for a unique solution, but handmade grids and incomplete cage clues can leave more than one valid finished board.
KenKen solver keywords and search intent
This page is built for people searching for KenKen solver, KenKen puzzle solver, Calcudoku solver, Mathdoku solver, arithmetic Sudoku solver, KenKen answers and online KenKen calculator.
Those searches usually need a practical grid editor rather than a rules-only guide. That is why the solver appears first, with the article below explaining the rules, cage operations, uniqueness checks and common mistakes.