Multiplication Table
A times table from 1 × 1 to 12 × 12, or up to 30 × 30, with any row and column highlighted. Show one number’s table and its patterns, or practise with a quiz that keeps score.
How to Use
- Choose Table, One number or Quiz.
- For the table, set the size (12 for the usual 12 × 12, up to 30) and the row and column to highlight. Hover over the grid to trace a row and column; click a cell to pick it.
- For one number, type it and how far to go, such as 7 up to 12. The circle joins the last digits of its multiples in order.
- For the quiz, enter the tables to practise, such as
2-12or6, 7, 8, type each answer and press Enter. Facts you miss come back until you get them right. - Read the score, streak and accuracy in the readouts; the tips below the buttons explain each table’s pattern.
Worked Example
7 × 8 on the 12 × 12 table. Go along row 7 to column 8: 56. Column 7, row 8 holds the same 56, the mirror image across the diagonal. Row 7 adds up to 7 × (1 + 2 + … + 12) = 7 × 78 = 546.
9 × 7 with the finger trick. Hold up ten fingers and fold down the seventh. Six fingers stand to its left and three to its right: 63. The digits add to 9, as they do for every answer from 9 × 1 to 9 × 10.
The common mistake: learning all 144 facts separately. Since a × b = b × a, half the table repeats the other half: a 12 × 12 table has only 78 different facts, and 12 of those are the squares on the diagonal. Knowing 6 × 8 = 48 means 8 × 6 is already learned.
Show Work
Formulas
Four Thousand Years of Times Tables
Scribes in Old Babylonian Mesopotamia, nearly 4,000 years ago, copied multiplication tables onto clay tablets in their base-60 number system. The oldest known decimal multiplication table is on bamboo strips from China’s Warring States period, dated to about 305 BC and now among the Tsinghua University collection; it could multiply whole numbers and halves up to 99.5.
In Europe the square grid became known as the Pythagorean table, though there is no evidence Pythagoras drew it. The habit of stopping at 12 comes from everyday measures: 12 pence made a shilling until British decimalisation in 1971, and 12 inches still make a foot.
About This Tool
This tool draws a multiplication table of any size up to 30 × 30 with a row and column highlighted, shows a single number’s table with its total and last-digit pattern, and runs a practice quiz on the tables you choose. Quiz questions come from your browser’s cryptographic random source, so the order can’t be learned, and missed facts come back until they are answered correctly.
Everything runs in your browser; nothing is sent anywhere.
Related tools: Long Division Calculator, Fraction Calculator, and Test Score Calculator.
Frequently Asked Questions
What is the quickest way to learn the times tables?
Use the patterns to shrink the job. Because 3 × 8 = 8 × 3, a 12 × 12 table holds only 78 different facts, not 144. Once the 1, 2, 5, 10 and 11 times tables and the squares are known, only 21 facts remain, all among 3, 4, 6, 7, 8, 9 and 12. Practise those few in short, frequent sessions.
How does the 9 times table finger trick work?
Hold up ten fingers and fold down finger number n. The fingers to the left are the tens and those to the right are the units: for 9 × 7, fold the seventh finger, leaving 6 and 3, so 63. It works because 9n = 10(n − 1) + (10 − n), which is also why the digits of 9 × 1 to 9 × 10 always add up to 9.
Why are the square numbers on the diagonal?
The diagonal is where the row and column numbers match, so it holds 1 × 1, 2 × 2 and so on: 1, 4, 9, 16 … 144. The table is a mirror image across that line. Neighbouring squares differ by the odd numbers: 7² − 6² = 13 = 2 × 6 + 1.
Why do children learn up to 12 × 12?
Partly history: old British money had 12 pence in a shilling, and there are 12 inches in a foot, so 12s were everyday arithmetic. England’s national curriculum expects recall up to 12 × 12 by the end of Year 4, tested by the Multiplication Tables Check: 25 questions with 6 seconds each. Many other countries stop at 10 × 10.
How can I remember 7 × 8?
Count 5, 6, 7, 8: 56 = 7 × 8. Or build it from a fact you know: 7 × 4 = 28, and doubling gives 56. The same trick works across the table, since 8 × n is n doubled three times: 7, 14, 28, 56.
How do I use the Multiplication Table?
Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.
Is it free? Does it work without internet?
Yes to both. It is free with no sign-up, and once the page has loaded it keeps working even with no internet.
Where does my data go?
Nowhere — every calculation runs on your own device. Nothing you enter is uploaded, logged, or stored.
Common Use Cases
Homework
Quiz on the 6, 7 and 8 times tables, with missed facts repeated.
Classroom display
Show the 12 × 12 grid with row 7 and column 8 meeting at 56.
Test practice
Random questions from 2 to 12, like the Year 4 Multiplication Tables Check.
Bigger facts
Read 13 × 17 = 221 off the 20 × 20 table.
Number patterns
The 7s end in 7, 4, 1, 8, 5, 2, 9, 6, 3, 0: every digit once.
Last updated: