Multiplication chart 1–15
Every product from 1 × 1 to 15 × 15 on one page: 225 answers. This 15x15 multiplication chart, also called a multiplication table, is a free PDF in Letter or A4.
three rows past the dozenUpdated
- Grid
- 15 × 15
- Products
- 225
- Largest product
- 225
- Squares on the diagonal
- 15
- Different numbers
- 89
Patterns in the 1–15 chart
The diagonal of squares
From the top left to the bottom right the chart reads 1, 4, 9, 16 and on to 225. The steps between them are the odd numbers: 3, 5, 7, 9.
9 × 9 = 81 · 12 × 12 = 144 · 15 × 15 = 225Two halves that match
The chart is a mirror across the diagonal, because 7 × 12 and 12 × 7 are the same. That leaves 120 facts to learn, not 225.
105 mirrored pairs + 15 squares = 120The numbers that repeat
Only 89 different numbers fill the 225 squares. None appears more than six times; 12, 24, 30 and one more do.
12 = 1 × 12 · 2 × 6 · 3 × 4The 15s row
Row 15 counts the way a clock does: quarter past, half past, quarter to, the hour. Every second answer ends in 0.
15 · 30 · 45 · 60 · 75 · 90
Other multiplication charts
Multiplication chart 1–15 FAQ
How many facts are on a 1–15 multiplication chart?
225, one for each square of the 15 × 15 grid. Because the order of the two numbers does not matter, 120 of them are different facts.
What is the biggest number on the chart?
225, in the bottom right corner, from 15 × 15.
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.