# Free & Printable multiplication Charts (48)

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Multiplication Charts are essential tools to learn the multiplication tables! To help you in this task, we offer you many Printable multiplication charts.

They are in A4 standard format, available as free PDF files to download. Once you have printed the Chart, you can post it on the wall near your desk or put it into your school bag. Discover all our tools to help you with your Multiplication Tables.

You will find below:

• Different sizes of charts: Choose the one that suits your level: Chart from 1 to 10 (10x10), Chart from 1 to 12 (12x12) or Chart from 1 to 20 (20x20)
• Complete Charts or Blank Charts to be filled in: Complete charts are for learning (or as a memory aid), while blank chart to be filled in are ideal for practice.
• Colorful or black and white Charts: A colorful chart will help you remember more easily. You can also choose your own colors by coloring a black and white chart.

Find below our advice and tricks to make the learning easier for you. If you are just starting out, please read How to read a multiplication Chart?

## How to read a multiplication Chart?

To find the result of a multiplication, simply look for the intersection between the horizontal line corresponding to the first multiplication number and the vertical line corresponding to the 2nd number. You can dragg your finger along the line to the intersection if that helps.

Example: What is the result of 3 x 4 multiplication?

• 1- Locate the horizontal line corresponding to the first number (number 3 in this example)
• 2- Locate the vertical line corresponding to the second number (number 4 in this example)
• 3- The result of the multiplication is in the square located at the intersection of the 2 lines (12 in this example)

You will notice that if you do the same thing for the multiplication 4 x 3 you will find the same result at the intersection, indeed 3 x 4 = 4 x 3. This is what we call the commutative property of multiplications!

## The Pythagorean Table

Pythagoras, a famous ancient Greek mathematician and philosopher had the idea of organizing the multiplication tables inside a table, hence the name "Pythagorean Table" often used to name the Table of Multiplication Tables. The Pythagorean table is very useful to quickly find the result of a multiplication. Moreover, the symmetry of this table perfectly illustrates the notion of commutativity of multiplications (3x4 = 4x3).

## Our tricks for learning your multiplication Chart

### Bring colour into your Chart!

You can print a multiplication Chart already colored or a Multiplication Chart black/white that you will color yourself using your favourite colors! Indeed, the color will make it easier for you to remember thanks to the visual memory process. So, let's get your felt pens!

If you want to color your chart yourself using your own color codes, you must assign a different colour to each number.
For example: If you assign the green to the number 3, you will have to color in green the following cells: 3x3, 3x4, 3x5, 3x6, 3x7, 3x8, 3x9 (horizontal line) as well as 4x3, 5x3, 6x3, 7x3, 8x3, 9x3 (vertical line). 3x2, belongs to the 2 times table, so color it using the color of the 2 times table. Indeed, the result of 3x2 is equal to the result of 2x3, it is therefore useless to learn both, when you know the first, you find the second.
Note: There is no need to color the cells corresponding to the 1 and 10 times table because the results are very easy and you will not need to learn them by heart!

### No need to learn the whole multiplication Chart

A chart 1-10 (or 10x10), contains 100 squares, so 100 results, it may seem like a lot, but... Great news! You will see that there are many squares that you do not need to learn :) In fact, there are only 36 multiplications to know. Find below the results of the multiplication chart that you don't need to learn.

#### 1- Don't learn duplicates:

There are many equivalent multiplications in a chart. Indeed, in a multiplication operation, you can invert the numbers while obtaining the same result..
For example: 7 x 6 = 6 x 7 = 42
So if you know the result of 6 x 7, you also know the result of 7 x 6!

Once all duplicates have been removed, there are only 55 multiplications left to learn.

#### 2- No need to learn by heart the 1 and 10 times table:

The 1 times table and the 10 times table are the 2 easiest, it is therefore useless to learn them by heart.
1 times Table: A number multiplied by 1 is always equal to the number.
Example: 1x1=1, 1x2=2, 1x3=3, 1x4=4...
10 times Table: A number multiplied by 10 is always equal to the number followed by a zero.
Example: 1x10=10, 2x10=20, 3x10=30, 4x10=40...

So you can see that, in fact, there are only 36 multiplications to learn . That's pretty good news, isn't it?

### Above all, don't forget to revise your Tables

Revise your multiplication tables is a necessary step for a long term memorization, so don't forget to do it! There are several ways to revise your tables:

#### 1- Fill in a Blank multiplication Chart:

Fill in a blank multiplication chart is a perfect way to revise your tables. At the top of this page, you will find many blank printable charts to make revisions and training easier for you.

#### 2- Use our printable multiplication Worksheets:

Worksheets are also an effective way to revise your tables. You will find several worksheets to make revision easier in our printable multiplication Worksheets section.

### Need a boost to memorize the times tables?

If you have trouble memorizing some of (or even all) the multiplications, discover our Method to Easily learn the multiplication tables with the Multiplication Flash cards by RiverTimes, an Original, Fast and Fun way!