Naked Singles Strategy

The Naked Single is the most fundamental Sudoku technique. When a cell has only one possible number remaining, that number must be the answer.

Difficulty (Day-one technique)
Beginner
Frequency (Every puzzle)
Very High
Steps to apply (Row, col, box, count, place)
5
Solves alone (With hidden singles)
Easy

What Is a Naked Single?

A Naked Single occurs when you examine an empty cell and determine that only one number from 1 to 9 can possibly go there. You reach this conclusion by checking which numbers are already placed in the cell's row, column, and 3x3 box. If eight of the nine possible numbers are already accounted for, the remaining number is the only candidate - making it a Naked Single.

The term "naked" refers to the fact that the single candidate is fully exposed - there is no ambiguity. Unlike Hidden Singles, where you need to look at the broader context of a row, column, or box, a Naked Single is determined entirely by the candidates available in one specific cell.

This technique is sometimes also called a "Sole Candidate" or "Forced Cell" in various Sudoku resources. You can learn more about Sudoku terminology in our Sudoku glossary.

How to Apply Naked Singles: Step-by-Step

  1. Select an empty cell - Choose any empty cell on the Sudoku grid. Systematic solvers often start from the top-left and work across, but you can begin anywhere.
  2. Check the row - Look at all the numbers already placed in the same row as your chosen cell. Note which numbers (1-9) are present.
  3. Check the column - Look at all numbers placed in the same column. Add these to your list of eliminated candidates.
  4. Check the 3x3 box - Look at all numbers placed in the same 3x3 box. Add these to your eliminated list as well.
  5. Count remaining candidates - If only one number from 1-9 is not already in the row, column, or box, that number is the Naked Single. Write it in the cell with confidence.

When to Use Naked Singles

Naked Singles should be your very first approach on every puzzle, regardless of difficulty. They appear frequently in easy Sudoku puzzles, where many cells are pre-filled, creating numerous Naked Singles from the start. In medium and hard puzzles, Naked Singles become more common as you fill in cells using other techniques - each placement may reveal new Naked Singles in connected cells.

If you are new to Sudoku, we recommend starting with our how to play Sudoku guide to understand the basic rules before applying strategies. You can also explore our complete list of Sudoku strategies to see how Naked Singles fit into the bigger picture of Sudoku solving.

Difficulty Level & Puzzle Types

Naked Singles is classified as a beginner-level technique. It is the easiest strategy to learn and the first one you should master. Here is how it applies across puzzle difficulties:

Easy

Very frequent - many puzzles can be largely solved with singles alone

Medium

Frequent - singles appear after applying pairs and other techniques

Hard

Moderate - often revealed as a byproduct of advanced eliminations

Expert

Occasional - still essential as a finishing technique after complex moves

Tips for Mastering Naked Singles

  1. Use pencil marks (candidate notation) to track possibilities in each cell. This makes Naked Singles immediately visible.
  2. After placing any number, immediately re-check all cells in the same row, column, and box - your new placement may have created a Naked Single.
  3. Focus on cells in rows, columns, or boxes that already have many numbers filled in - these are the most likely spots for Naked Singles.
  4. Combine Naked Singles with Hidden Singles for a powerful beginner solving approach that handles most easy and many medium puzzles.

Frequently Asked Questions

What is a Naked Single in Sudoku?

A Naked Single occurs when a cell in the Sudoku grid has only one possible candidate remaining after eliminating all numbers already present in its row, column, and box. It is the most basic and fundamental solving technique.

How do I find Naked Singles quickly?

Scan each empty cell and mentally or physically note which numbers 1-9 are already used in its row, column, and box. If only one number is left, that cell is a Naked Single. Many solvers use pencil marks to track candidates and spot singles faster.

Is Naked Singles the same as Full House?

Not exactly. A Full House is a special case where a row, column, or box has only one empty cell remaining, making the answer obvious. A Naked Single is broader - it applies to any cell with one candidate, even when many cells in its row, column, and box are still empty.

Can I solve every easy Sudoku with just Naked Singles?

Most easy puzzles can be solved using a combination of Naked Singles and Hidden Singles. Some very simple puzzles can be completed with Naked Singles alone, but you will usually need Hidden Singles as well to fully solve even easy-rated puzzles.

What should I learn after mastering Naked Singles?

After Naked Singles, learn Hidden Singles - the other essential beginner technique. Together, these two strategies form the foundation for all Sudoku solving. From there, progress to Naked Pairs and Pointing Pairs for intermediate puzzles.

Related Techniques

Related Glossary Terms

View full glossary

Practice by Difficulty

See it in action: a Naked Single

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Look at the highlighted cell. What number can fit there?

Step 1 of 5 — full interactive demo available with JavaScript enabled

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