# Printable Multiplication Chart

Pick the size, fill it in or leave it blank, add color if you like, then print the chart or save it as a PDF. Every option changes the sheet on the right as you click.

Everything is made on your device. Nothing you type is sent to us or stored on a server.

## How to make your chart

1. **Pick a size.** The default is 12 × 12, which matches what most US classrooms drill. Choose 10 × 10 for the classic chart of products from 1 to 100, or go up to 20 × 20 for older students. "Custom size" lets you set rows and columns separately, so a 5 × 12 strip for a beginner is two clicks away.
2. **Decide how much to fill in.** "All filled" is a reference chart. "Blank" keeps only the header numbers so the child writes every product. "Some blank" hides a share of the answers at random, and "Half chart" shows each fact once (more on that below).
3. **Choose a look.** Black and white saves ink. Blue headers make the factors easy to find. Rainbow rows help a child keep their finger on one row. "Squares marked" shades 1, 4, 9, 16 and the rest of the diagonal.
4. **Print or save.** Print sends the sheet straight to your printer. Download PDF gives you a file you can email to a parent or send to the school copier. PNG is handy for a slide or a class website.

Any chart that has blanks gets a second page: the completed chart, which works as the answer key. If you only want the practice page, print page 1 from your printer dialog.

## Which size should you print?

| Size | Biggest product | Cells to fill | Good for |
| --- | --- | --- | --- |
| 10 × 10 | 100 | 100 | Grade 3 fact fluency, first introduction |
| 12 × 12 | 144 | 144 | Most US schools, dozens, inches and feet |
| 15 × 15 | 225 | 225 | Students who finished the 12s early |
| 20 × 20 | 400 | 400 | Mental math, squares to 400, older kids |

The Common Core standard for grade 3 asks children to know all products of two one-digit numbers from memory by the end of the year, so the 10 × 10 chart covers the requirement. Many teachers still go to 12 because it shows up everywhere outside school: a dozen eggs, 12 inches in a foot, 12 months, the face of a clock.

A 20 × 20 chart fits on one page, but the numbers get small. Turn the page to "Wide" under *Title, zero row and paper* if you want slightly larger squares, or print it on 11 × 17 paper if your printer takes it.

## Reading a multiplication chart

Find the first number down the left side and the second number across the top. Slide one finger along the row and another down the column; the square where they meet holds the answer. For 7 × 8, go to row 7, run across to column 8, and you land on 56.

Then show the trick that halves the work: 8 × 7 sits at row 8, column 7, and it is also 56. Every fact has a twin on the other side of the diagonal. Once a child sees that, a 12 × 12 chart stops looking like 144 separate facts and starts looking like 78. That count comes from 12 × 13 ÷ 2: the 12 square numbers on the diagonal plus 66 pairs of twins.

## Patterns kids can spot on their own

Hand a filled chart to a child with a highlighter and ask what they notice before you explain anything. These are the patterns that come up most often:

- **The 10s row** is the counting numbers with a zero on the end: 10, 20, 30.
- **The 5s** end in 5 or 0, and they alternate.
- **The 9s** up to 9 × 10: the tens digit goes up by one while the ones digit goes down by one (09, 18, 27, 36). The two digits also add to 9.
- **The 11s** up to 11 × 9 repeat the digit: 11, 22, 33 … 99. Then 110, 121 and 132 break the pattern, which is a good conversation.
- **Every row of an even number** contains only even products.
- **The diagonal** from the top left holds the square numbers: 1, 4, 9, 16, 25. Pick "Squares marked" to shade them.
- **The 4s are the 2s doubled**, and the 8s are the 4s doubled. If a child knows 6 × 4 = 24, then 6 × 8 is 48.

Spotting a pattern is worth more than memorizing it from a list. It gives the child a way back to the answer when memory fails.

## Using a blank multiplication chart

A blank multiplication chart is one of the best low-prep practice sheets you can give, because it is self-checking: when a child writes 42 at row 6, column 7, the twin at row 7, column 6 has to match.

Some ways to use it:

- **Fill the easy rows first.** Ask for the 1s, 2s, 5s and 10s only. That is already 40 % of a 10 × 10 chart, and it builds confidence before the harder rows.
- **Race yourself, not each other.** Time one fill-in on Monday and another on Friday. Write both times at the top. Competing against last week works better for most kids than a class leaderboard.
- **Use "Some blank" for review.** Hiding 30 % of a filled chart takes about five minutes to finish and touches every row. Click "Mix blank squares" for a different set each day; the sheet code at the bottom lets you rebuild the same one later.
- **Try the half chart.** It shows only the facts on and above the diagonal. Ask the child to fill in the bottom half by reflecting the top half, then check with the answer key.

## The 1 to 100 chart

A 10 × 10 chart, often called the multiplication chart 1 100, holds every product from 1 × 1 to 10 × 10. It is the version to start with for a child who is still counting on fingers, because none of the numbers go past three digits and the rows are short enough to say out loud.

Do not confuse it with a hundreds chart. A hundreds chart lists the counting numbers 1 to 100 in order and is used for counting and place value. If that is what you need, the [hundreds chart page](https://dworksheets.com/hundreds-chart) makes one, including blank and missing-number versions.

## Spotlight one table

The *Spotlight one table* menu shades a single row and column, such as the 7s, in yellow. That makes it easy to talk about one table at a time. It works well on a chart pinned to the wall: change the spotlight each week as the class moves through the tables. Pair it with a sheet of [7 times table problems from the multiplication worksheet generator](https://dworksheets.com/multiplication-worksheets) for the practice that follows.

## Dividing with the same chart

The chart runs backwards too, and many children never get shown this. To work out 56 ÷ 8, go to row 8, slide across until you reach 56, then look straight up to the top header. You land on 7, so 56 ÷ 8 = 7. The row is the number you divide by, the square is the number being divided, and the header above it is the answer.

This is worth teaching the same week as the multiplication facts. Division in third grade is mostly multiplication in disguise, and a child who can find 56 in row 8 has already learned 56 ÷ 8, 56 ÷ 7, 7 × 8 and 8 × 7 from one square. If the number isn't in the row, say 58 in row 8, the division leaves a remainder. That's a nice way to meet remainders before long division arrives in fourth grade.

## How the chart helps at each grade

**Second grade.** Children aren't expected to memorize facts yet, but they do work with arrays and repeated addition. Print a 5 × 5 custom chart and connect each square to a picture: row 3, column 4 is three rows of four counters. Counting by 2s, 5s and 10s along a row is skip counting, which second graders already practice.

**Third grade.** This is the main year for the chart. Start with a filled 10 × 10 chart on the desk, move to "Some blank" at 30 percent, then to a fully blank chart. By spring, most children should be filling a blank 10 × 10 chart without help.

**Fourth grade.** The chart becomes a tool for factors and multiples. Ask a child to circle every 24 on a 12 × 12 chart: it appears at 2 × 12, 3 × 8, 4 × 6 and their twins, which gives every factor pair of 24 except 1 × 24, the one pair too wide for the chart. A number that only shows up in row 1 and column 1 (within the chart) is a good candidate for a prime number.

**Fifth grade and up.** Any two rows of a filled chart make a list of equivalent fractions. Lay a ruler under row 2 and row 3 and read them as fractions: 2/3, 4/6, 6/9, 8/12. The same trick finds common denominators, and the 15 × 15 or 20 × 20 chart helps with squares and simplifying.

## Mistakes the chart helps catch

Watching a child use a chart for a week tells you a lot about where facts break down. These come up again and again:

- **Adding instead of multiplying.** Writing 7 for 3 × 4 is the most common slip in early third grade. Ask the child to find 3 × 4 on the chart and compare it with 3 + 4. Seeing 12 and 7 side by side usually fixes it.
- **Slipping a row.** On a dense chart, a finger can drift into the row above or below, so 7 × 8 becomes 48 or 64. Rainbow rows are there for exactly this reason. An index card held under the row works too.
- **Mixing up the zeros and ones.** Children often write 6 × 0 = 6 or 6 × 1 = 7. Printing with "Start at 0" and filling in the zero row together makes the rule concrete.
- **The tricky middle.** The facts most children miss are in the 6s, 7s and 8s, especially 6 × 7, 6 × 8, 7 × 8 and 8 × 8. On a blank chart these are usually the last squares left empty. Circle them in red on the answer key and turn them into a short list for the week.

A blank chart shows patterns in mistakes that a worksheet of random facts can hide. If a child fills every square in row 7 except two, you know which two facts to practice.

## Using the answer key well

The answer key is page 2 of any chart with blanks. A few ways to get more out of it than a quick check:

- **Let the child mark their own sheet.** Hand over the key and a colored pencil. Children who find their own mistakes tend to remember the fix.
- **Fold it behind the practice page.** Print double-sided, page 1 on the front and page 2 on the back. The child does the front, turns it over and checks.
- **Keep one key for the week.** With "Some blank", the sheet code at the bottom rebuilds the same chart. Write the code down, and you can reprint the matching key any time.

## Classroom and homeschool ideas

- **Desk reference.** Print the filled chart at 10 × 10 or 12 × 12, laminate it and tape it to each desk. Take it away for quizzes, leave it for longer problems where facts aren't the point.
- **Morning work.** A "Some blank" chart at 20 percent takes four or five minutes and makes a calm start to the day. Change the blanks each morning with "Mix blank squares".
- **Homework folder.** Send home a filled chart with the 7s spotlighted along with the week's practice, so parents can see which table the class is on.
- **Homeschool wall chart.** A filled 12 × 12 chart with "Squares marked" makes a good poster near the table. Children check it while doing other math long before they memorize it.
- **Interventions.** For a child who is struggling, a custom 5 × 5 or 6 × 6 chart is far less overwhelming than the full grid. Grow it one row at a time.

## Printing tips

- **Scale:** choose "Actual size" or 100 % in the print dialog. "Fit to page" also works for charts, since the exact size of a square does not matter here.
- **Black-and-white printers:** rainbow rows turn into light grays that are still readable, but "Black and white" gives the cleanest result.
- **A4 or US Letter:** the chart resizes itself to the paper you pick, so there is no white strip at the bottom.
- **Make it last:** print on card stock and laminate it, or slide it into a sheet protector. A dry-erase marker turns a blank chart into a reusable one.
- **No title:** clear the title box and the chart grows to fill the page.
- **Margins:** the chart already leaves a margin inside the page, so you can leave your printer's margin setting on default. If the bottom row gets clipped, your printer has a wider unprintable edge; switch on "Fit to page" in the dialog.
- **Name lines for worksheets:** tick "Name and date lines" when the chart goes home as homework, so it comes back with a name on it.

## Common questions

### Is the printable chart free?

Yes. Print as many copies as you need for your family or class. The only thing we ask is that you do not sell them.

### Why does my chart start at 1 and not 0?

Most classroom charts leave out the zero row because every product in it is 0. If your curriculum includes the zeros, tick "Start at 0" under *Title, zero row and paper* and an extra row and column appear.

### Can I print a chart that only goes to 5 or 6?

Yes. Choose "Custom size" and set the rows and columns to 5, or to any number from 1 to 25. A 5 × 5 chart makes a gentle first sheet for a younger child.

### What is the difference between this and a times table chart?

A multiplication chart is a grid where each answer sits where a row and column meet. A times table chart writes the facts out as sentences, such as 6 × 4 = 24, one table per column. Some children find the written-out version easier to read aloud. You can print one on the [printable times table chart page](https://dworksheets.com/printable-times-table-chart).

### How do I print a blank multiplication chart?

Choose "Blank" under *Answers in the chart*. Only the header numbers stay, and a filled answer key prints as page 2. Pick the size first, since a blank 20 × 20 chart is a lot of writing for a young child.

### Is the chart big enough to read from across a room?

A 10 × 10 chart on letter paper has squares large enough for a desk or a fridge. For a classroom wall, save the PDF and print it at a copy shop on 11 × 17 or poster paper. The file is vector, so it stays sharp at any size.

### Can I use the chart on a tablet or an interactive whiteboard?

Yes. Download the PNG and open it in any whiteboard or drawing app. Children can write straight onto a blank chart with a stylus, and you can clear it and start over.

### Which facts should a child learn first?

Most teachers start with the 0s, 1s, 2s, 5s and 10s because they follow simple rules. Then the 9s (with the digit-sum pattern), the squares, the 3s and 4s, and last the 6s, 7s and 8s. By the time the hard facts come up, most of their twins are already known.

## Every printable on DWorksheets

### Math charts

- [**Times table chart**Written-out tables 1 to 12, or one big single table.](https://dworksheets.com/printable-times-table-chart)
- [**Hundreds chart**Click-to-shade 100s chart, blank and missing-number versions.](https://dworksheets.com/hundreds-chart)
- [**Number chart**Any range up to 1000, counting by 1s, 2s, 5s or 10s.](https://dworksheets.com/number-chart)
- [**Fraction to decimal chart**Fractions to decimals and back, with repeating decimals marked.](https://dworksheets.com/fraction-decimal-chart)
- [**Decimal place value chart**Millions to thousandths, filled in or blank.](https://dworksheets.com/decimal-place-value-chart)

### Paper

- [**Graph paper**Square, dot, isometric and hex grids at true size.](https://dworksheets.com/graph-paper)
- [**Lined paper**Wide, college, narrow and kids’ handwriting lines.](https://dworksheets.com/lined-paper)

### Handwriting and tracing

- [**Name tracing**Dotted print or cursive names, one page per child.](https://dworksheets.com/name-tracing)
- [**Letter tracing**Letters, the whole alphabet and numbers 0 to 20.](https://dworksheets.com/tracing-worksheets)
- [**Handwriting worksheets**Your own words and sentences, traced then copied.](https://dworksheets.com/handwriting-worksheets)

### Math worksheets

- [**Place value worksheets**Digit value, expanded form and tens-and-ones questions.](https://dworksheets.com/place-value-worksheets)
- [**Multiplication worksheets**Times tables, mixed facts and multi-digit problems.](https://dworksheets.com/multiplication-worksheets)
- [**Addition worksheets**Facts to 20 up to five-digit sums, carrying on or off.](https://dworksheets.com/addition-worksheets)
- [**Division worksheets**Division facts and long division, remainders on or off.](https://dworksheets.com/division-worksheets)
- [**Telling time worksheets**Read the clock or draw the hands, to the hour or the minute.](https://dworksheets.com/telling-time-worksheets)

### By grade

- [**2nd grade math worksheets**Two-digit sums, place value, time to 5 minutes.](https://dworksheets.com/2nd-grade-math-worksheets)
- [**3rd grade math worksheets**Times tables, division facts, three-digit sums.](https://dworksheets.com/3rd-grade-math-worksheets)
- [**4th grade math worksheets**Multi-digit multiplication, long division, decimals.](https://dworksheets.com/4th-grade-math-worksheets)

DWorksheets is a small, independent site that makes printable math and handwriting pages for parents, teachers and tutors. [Read how the generators are built and checked](https://dworksheets.com/about).