Multiplication chart 1–12

Patterns in the 1–12 chart

• The diagonal of squares

  From the top left to the bottom right the chart reads 1, 4, 9, 16 and on to 144. The steps between them are the odd numbers: 3, 5, 7, 9.

  6 × 6 = 36 · 9 × 9 = 81 · 12 × 12 = 144

• Two halves that match

  The chart is a mirror across the diagonal, because 3 × 9 and 9 × 3 are the same. That leaves 78 facts to learn, not 144.

  66 mirrored pairs + 12 squares = 78

• The numbers that repeat

  Only 59 different numbers fill the 144 squares. None appears more than six times; 12 and 24 do.

  12 = 1 × 12 · 2 × 6 · 3 × 4

• The 11s and 12s

  Up to 9, the 11s row just repeats the digit. The 12s row is the 10s row plus the 2s row, and it ends on 144, a dozen dozens.

  12 × 7 = 70 + 14 = 84

The 0–12 version

Some schools start the chart at zero. The 0–12 chart adds a row and a column of zeros, which makes the point that anything times zero is zero, and brings the grid to 13 × 13 with 169 squares. Switch the range above to 0–12 to see and print it.

Other multiplication charts

• 1–10
• 1–12
• 1–15
• 1–20
• 1–25
• 1–30
• 1–50
• 1–100
• Blank chart
• All sizes and posters

Multiplication chart 1–12 FAQ