Multiplication Chart

About the Multiplication Chart

A multiplication chart you can explore, from 1–10 up to 30 × 30. Point at a square and its row and column light up; choose it to see the fact turned round, every other square with the same answer, and the answer’s factors. Shade the square numbers or the multiples of any number from 2 to 20 to see the patterns.

Then print it: a full reference chart, a blank chart to fill in, a partly filled practice chart with 25, 50 or 75% of the squares left blank, or a mixed-up chart with the numbers along the edges shuffled — each practice sheet with an answer key. You can also print boxed lists of any times tables up to × 20. Every page is a true-size PDF, or a 300 dpi PNG, made in your browser.

Common uses

• A reference chart for a classroom wall, a homework folder or a desk.
• Fill-in practice: blank, partly filled and mixed-up charts with their answer keys.
• Showing patterns: square numbers on the diagonal, the symmetry of the chart, multiples of 3, 9 or 12.
• Printing the tables a child is learning, with or without the answers.

Patterns to look for

• Square numbers (1, 4, 9, 16 …) run down the diagonal from the top left, and the chart is a mirror image on either side of it, because 7 × 8 and 8 × 7 are the same fact. So a 12 × 12 chart has 144 squares but only 78 different facts.
• Even answers fill every row and column of an even number; an odd answer needs two odd numbers.
• The 5s end in 5 or 0, and the 10s in 0. Along the 9s, up to 9 × 10 the tens digit goes up by one as the ones digit goes down by one (18, 27, 36 …).
• Same answer: choosing 12 on a 1–12 chart outlines 1 × 12, 2 × 6, 3 × 4, 4 × 3, 6 × 2 and 12 × 1 — every way to make 12 on the chart.

Practice sheets

A blank chart has only the numbers along the edges. A partly filled chart leaves a share of the squares blank at random, so every sheet asks for different facts. A mixed-up chart shuffles the numbers along the top and the side, so the answers cannot be filled in by counting along a row. Partly filled and mixed-up sheets print a sheet code: with the same code, size and settings you get the same sheet again, and New sheet gives a different one. The answer key is printed as a second page.

Printing

PDF pages are vector graphics at true size on A4 or US Letter, so the lines and numbers stay sharp at any zoom, and wide charts turn sideways (landscape) to make the squares bigger. A 1–12 chart prints with squares of about 14 mm on A4; a 1–30 chart with squares of about 6 mm. Print at 100% or Actual size to keep that size; a PNG is a 300 dots-per-inch image of one page.

Limitations

• Charts go up to 30 rows and 30 columns, starting at 1. For decimals, negative numbers or a single long table, use the multiplication table generator.
• Lists cover tables from 1 to 100, up to 40 tables at a time, multiplied up to × 20.
• The page preview shows the first page; the PDF has all of them.

Privacy

Everything happens in your browser: the chart, the PDF and the PNG are made on your device and nothing is uploaded. Your settings are kept in this browser’s storage for next time.