Multiplication chart 1–20
Every product from 1 × 1 to 20 × 20 on one page: 400 answers. This 20x20 multiplication chart, also called a multiplication table, is a free PDF in Letter or A4.
the diagonal is all square numbersUpdated
- Grid
- 20 × 20
- Products
- 400
- Largest product
- 400
- Squares on the diagonal
- 20
- Different numbers
- 152
Patterns in the 1–20 chart
The diagonal of squares
From the top left to the bottom right the chart reads 1, 4, 9, 16 and on to 400. The steps between them are the odd numbers: 3, 5, 7, 9.
14 × 14 = 196 · 17 × 17 = 289 · 20 × 20 = 400Two halves that match
The chart is a mirror across the diagonal, because 7 × 17 and 17 × 7 are the same. That leaves 210 facts to learn, not 400.
190 mirrored pairs + 20 squares = 21060 shows up most
Only 152 different numbers fill the 400 squares. 60 appears eight times, more than any other.
3 × 20 · 4 × 15 · 5 × 12 · 6 × 10The teen rows
Most charts stop at 12. Rows 13 to 19 are where this one earns its page: split the teen number into ten and the rest.
7 × 14 = 7 × 10 + 7 × 4 = 98
Other multiplication charts
Multiplication chart 1–20 FAQ
How many facts are on a 1–20 multiplication chart?
400, one for each square of the 20 × 20 grid. Because the order of the two numbers does not matter, 210 of them are different facts.
What is the biggest number on the chart?
400, in the bottom right corner, from 20 × 20.
Does it fit on one page?
Yes. The PDF is one portrait page in Letter or A4, with the site footer outside the grid.
How do I read it?
Find the first number down the left side and the second along the top. The square where that row and column meet holds the answer.