Multiplication chart 1-40

A multiplication chart 1-40 is a 40 × 40 grid of products, from 1 × 1 = 1 to 40 × 40 = 1,600. Find one number down the left side and the other across the top: the square where they meet is the answer. Print it below in color, in black and white or blank, on US Letter or A4.

Print the multiplication chart 1-40

On one US Letter page the products print at 5 points, smaller than most printed text, so the one-page chart suits a wall or a binder you read up close. For everyday use, print the large-print version: four pages of 20 × 20 squares with the products at 9.7 points. The blank chart comes as four pages too, because a one-page square (4.6 mm) is too small to write a four-digit answer in.

Multiplication chart 1-40 PDFs
Sheet	US Letter	A4
Color, one page	PDF (1 page, 109 KB)	PDF (1 page, 110 KB)
Black and white, one page	PDF (1 page, 108 KB)	PDF (1 page, 109 KB)
Large print, 4 pages of 20 × 20	PDF (4 pages, 123 KB)	PDF (4 pages, 124 KB)
Blank, 4 pages of 20 × 20, with answer key	PDF (8 pages, 143 KB)	PDF (8 pages, 144 KB)

Black and white and blank charts

The black and white chart uses gray shading that copies well on a school photocopier. The blank chart keeps the numbers 1 to 40 along both edges and leaves every square empty to fill in.

Black and white multiplication chart 1-40 with gray headers and the square numbers shaded, for printing on a black and white printer — Multiplication chart 1-40 in black and white.

Blank multiplication chart 1-40: colored row and column headers from 1 to 40 and empty squares to fill in — Blank multiplication chart 1-40, ready to fill in.

How to read the 1-40 chart

Find 36 in the colored column on the left and 27 in the colored row across the top.
Follow row 36 across and column 27 down. They meet at 972, so 36 × 27 = 972.
Division works backward: to find 972 ÷ 27, go down column 27 to 972 and read the number at the start of that row, 36.

The 1-40 chart in numbers

Our chart generator counted these. We count 36 × 27 and 27 × 36 as one fact, because they match on opposite sides of the diagonal.

Squares, facts and products on each chart size
Chart	Squares	Different facts	Different products	Largest product
1-12	144	78	59	144
1-20	400	210	152	400
1-40	1,600	820	517	1,600
1-100	10,000	5,050	2,906	10,000

So the 1-40 chart has 1,600 squares but only 517 different answers. The most repeated answer is 120, which appears 12 times.

Square numbers from 1 to 40

The diagonal from the top left corner to the bottom right holds the square numbers, each a number times itself. They are the bold squares on the chart.

1 × 1 = 1
2 × 2 = 4
3 × 3 = 9
4 × 4 = 16
5 × 5 = 25
6 × 6 = 36
7 × 7 = 49
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144
13 × 13 = 169
14 × 14 = 196
15 × 15 = 225
16 × 16 = 256
17 × 17 = 289
18 × 18 = 324
19 × 19 = 361
20 × 20 = 400
21 × 21 = 441
22 × 22 = 484
23 × 23 = 529
24 × 24 = 576
25 × 25 = 625
26 × 26 = 676
27 × 27 = 729
28 × 28 = 784
29 × 29 = 841
30 × 30 = 900
31 × 31 = 961
32 × 32 = 1,024
33 × 33 = 1,089
34 × 34 = 1,156
35 × 35 = 1,225
36 × 36 = 1,296
37 × 37 = 1,369
38 × 38 = 1,444
39 × 39 = 1,521
40 × 40 = 1,600

Tricks for the bigger numbers

The 40s: Multiply by 4, then by 10. 40 × 13: 4 × 13 = 52, and 52 × 10 = 520.
31 to 39: Split off the 30, multiply both parts and add. 34 × 7 = 30 × 7 + 4 × 7 = 210 + 28 = 238.
Just under a ten: Round up, then take one group away. 39 × 6 = 40 × 6 − 6 = 240 − 6 = 234.
Squares that end in 5: For 35 × 35, multiply the 3 by the next number, 4, to get 12, then write 25 after it: 1,225.

34 × 7 as a rectangle cut at 30: 210 + 28 = 238.

Splitting a number this way is the distributive property, the same idea as Common Core 3.OA.B.5: "Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)"

Warm up on the 1 to 12 factsEvery trick above rests on them. Earn stars and beat your best score.

Who needs a chart this big?

In the US, Common Core 3.OA.C.7 ends with "By the end of Grade 3, know from memory all products of two one-digit numbers." In England, Year 4 pupils should "recall multiplication and division facts for multiplication tables up to 12 × 12". Neither goes past 12 × 12, so a 1-40 chart is for looking answers up: checking long multiplication, finding factors and spotting patterns. To learn the facts themselves, start with the multiplication chart 1-12 and the times tables worksheets.

By Rai Ansar · Updated November 3, 2026 · Charts are calculated by this site's generator and checked by automated tests. How pages are made

Sources

Common Core State Standards for Mathematics, Grade 3 Operations and Algebraic Thinking: 3.OA.A.1, 3.OA.B.5, 3.OA.B.6, 3.OA.C.7, 3.OA.D.9; wording checked against the official standards PDF (page 23)
National curriculum in England: mathematics programmes of study (Department for Education, 2013): Years 2, 3 and 4 times-table statements; Year 5 square numbers

Last checked October 25, 2026.