Mulplete Solver

What Is the Mulplete Solver?

Mulplete is a variation of the Sumplete puzzle game. Instead of adding numbers, you must delete the right ones in a grid so that the product of the remaining numbers in each row and column exactly matches the target products shown at the end of each row and the bottom of each column.

It might sound simple, but once you start playing, you'll realize that solving these puzzles is far more complex than it seems. Compared to sum-based puzzles, product puzzles often have multiple valid combinations—a single target product can be formed by various sets of numbers, which increases trial-and-error and makes verification more difficult.

To make things trickier, some puzzles may actually be unsolvable due to incorrect inputs or conflicting target products. In such cases, no matter how much time and effort you spend, a correct solution simply doesn't exist.

That's why we built the Mulplete Solver—to help you quickly verify if a puzzle is solvable, optimize your solving strategy, and boost your efficiency.

How to Use the Mulplete Solver

1. Choose a Grid Size: Supports a variety of sizes from 3x3 up to 9x9.
2. Input Numbers and Target Products: Fill in the numbers in each cell, and input the target product for each row (to the right) and column (at the bottom). These targets represent the desired result from multiplying the remaining numbers after deletions.
3. Click "Solve": The solver will automatically calculate which numbers to remove and which to keep so that every row and column's product matches the target.
4. Click "Clear": Clears all inputs so you can start fresh with a new puzzle.

Benefits of Using the Mulplete Solver

Frequently Asked Questions

• How does the solver determine if a puzzle has no solution?

  The solver checks all possible combinations of remaining numbers in each row and column to see if their products match the targets. If none of the combinations work or if a valid solution in one row or column causes a conflict in another, the system will flag the puzzle as unsolvable. This often happens when:

  • The target product can't be formed from the given numbers;
  • There's a 0 in the grid, but the target product isn't 0;
  • The target product is a prime number, but no matching prime factor exists in the row or column.

• If there are multiple possible solutions, which one is shown?

  The solver provides one valid solution—not all of them. If multiple solutions exist, it prefers the one with fewer kept numbers or fewer operations, resulting in a "cleaner" answer. This is especially helpful for those who like elegant, efficient solutions.

• Can I manually lock or exclude certain cells?

  Not yet. Current versions don't support locking specific cells (e.g., "this cell must be kept"). However, we plan to add this feature in future updates to give users more control. In the meantime, you can try "mentally locking" certain cells and seeing if a solution still exists.

• Can puzzles with 0 or 1 be solved?

  Yes! 0 and 1 are both supported. Just keep in mind:

  • Any product involving 0 is 0, so 0 should only appear in rows/columns where the target product is 0.
  • 1 doesn't affect the product but may still be necessary to achieve the correct number of factors in a solution.

• Are there more efficient strategies I can use?

  Absolutely. In addition to using the solver, you can try these manual strategies:

  • Look for rows/columns with only one possible factor combo (e.g., target 2, and only one 2 present);
  • Use factor decomposition of the target product to work backwards;
  • Eliminate impossible cells early;
  • Prioritize checking rows/columns that include 0—they're the most constrained;
  • Focus first on targets that are very large or prime, as they give the most information.

  For a deeper dive, see our guide: "Quickly Solve Mulplete".

• Why do some puzzles that seem logical turn out to be unsolvable?

  Common hidden pitfalls include:

  • Conflicting targets—a cell belongs to both a row and column, but can't satisfy both target products;
  • Misuse of special numbers like 0 or 1, causing unexpected results;
  • Prime target products that have no corresponding factor in the row or column.

  We recommend double-checking for any contradictory numbers or illogical target setups if a puzzle fails.