Multiplication Chart
Explore multiplication facts with an interactive 12×12 multiplication chart, or switch to larger 20×20 and 30×30 grids.
Follow a row and column to find a product, hide the answers for practice, or print a multiplication chart for offline learning.
Find 7 on one axis and 8 on the other. The cell where the row and column meet gives the product: 56.
Interactive Multiplication Chart
Start with the 12×12 chart for standard multiplication facts. You can also explore larger 20×20 and 30×30 charts, hide the products for practice, or print the grid.
Interactive learning tool
Interactive Multiplication Chart
Choose a chart size, then hover or tap a multiplication fact to explore its row and column.
How to Use a Multiplication Chart
A multiplication chart arranges products in rows and columns. To find an answer, choose the two factors and locate the cell where they intersect.
In the interactive chart above, you can use the grid to explore individual facts rather than reading every product in sequence. For example, locate 7 and 8 on the two axes and trace them to 7 × 8 = 56.
12×12, 20×20 or 30×30?
The right chart depends on whether you are learning the standard times tables or exploring multiplication with larger factors.
Covers multiplication facts from 1 × 1 through 12 × 12 and is the most practical grid for working with the tables taught on this site.
Extends the same structure through 20 × 20 = 400 for learners who want to explore beyond the 12 times table.
Extends the chart through 30 × 30 = 900 and is useful as a broader multiplication reference.
Larger grids contain many more cells, so the 12×12 version is generally easier to scan when using a phone or narrow screen.
Hide the Answers and Test Yourself
Instead of always using the chart to look up a product, hide the answers and try to retrieve each multiplication fact yourself.
Look at the two factors and try to calculate or recall the product before revealing it.
Reveal the cell and compare the product with the answer you produced.
The chart can begin as a reference and gradually become a practice tool as you rely less on visible products.
Patterns Hidden in the Multiplication Chart
A grid does more than list answers. Its layout makes several important multiplication relationships visible.
Both calculations equal 21. Matching products appear on opposite sides of the main diagonal.
Multiplying each number by itself creates the square numbers along the chart's main diagonal.
A row belonging to an even factor contains only even products.
Multiples of 5 end in 0 or 5, while whole-number multiples of 10 end in 0.
This symmetry represents the commutative property of multiplication: changing the order of the factors does not change their product.
The diagonal is useful for another reason. It contains facts such as 4 × 4 = 16, 7 × 7 = 49 and 12 × 12 = 144. You can explore these further on the square numbers page.
Free Printable Multiplication Charts
Download a multiplication chart for homework, classroom reference or practice away from the screen.
Color Multiplication Chart
A color multiplication grid for quick reference and offline practice.
Black & White Chart
A simple multiplication grid designed for printing without color.
You can also visit Printable Times Tables for additional printable multiplication resources.
From Looking Up Answers to Knowing Them
The goal is not to depend on the chart forever. Use it first to understand the multiplication facts, then gradually remove the visual support.
1. Explore one row Observe
2. Predict products before looking Think
3. Hide the products Recall
4. Notice which facts slow you down Focus
5. Move to practice without the grid Apply
Practice Without Seeing the Full Grid
When you can navigate the chart confidently, test whether you can recall multiplication facts when the surrounding answers are no longer visible.
Start multiplication practice →Multiplication Chart Questions
What is a multiplication chart?
A multiplication chart is a grid of multiplication products. Choose one factor from each axis and find the cell where the corresponding row and column intersect.
What is a 12×12 multiplication chart?
A 12×12 multiplication chart covers factors from 1 through 12. Its products therefore range from 1 × 1 = 1 to 12 × 12 = 144.
How do I find 7 × 8 on the chart?
Find 7 on one axis and 8 on the other. Follow their row and column until they intersect at 56.
Why is a multiplication chart symmetrical?
Changing the order of two factors does not change their product. For example, 4 × 7 = 28 and 7 × 4 = 28. The chart displays these matching products on opposite sides of its main diagonal.
What numbers appear on the diagonal?
The main diagonal contains square numbers because each factor is multiplied by itself: 1 × 1, 2 × 2, 3 × 3 and so on.
Can I print the multiplication chart?
Yes. The interactive tool includes a print option, and this page also provides downloadable color and black-and-white versions in PDF and JPG formats.
Should I use a 12×12 or 30×30 chart?
Use the 12×12 chart when working on the standard tables covered by this site. The 20×20 and 30×30 versions extend the same grid to larger factors when you need a broader reference.