Array — 12 × 12 = 144 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Array — 12 × 12 = 144

About this illustration

Multiplication array showing 12 rows of 12 navy dots (or 12 rows of 12 dots). Total 144 dots. For teaching multiplication, area model, repeated addition, commutative property.

What is 12 × 12?

This array is laid out as 12 rows of 12 dots. Counting every dot gives 144, so 12 × 12 = 144.

Rows
12
Columns
12
Total dots
144
Multiplication
12 × 12 = 144
Division
144 ÷ 12 = 12
  • Count the rows, then count how many are in each row: 12 rows of 12 makes 12 × 12 = 144.
  • As repeated addition that is 12 added 12 times: 12 + 12 + 12 + 12 + 12 + 12 + … = 144.
  • The rows and columns match, so turning this array on its side leaves it unchanged: 12 × 12 = 144 either way.
  • That also makes 144 a square number — 12² = 144 — and its square root is 12, because 144 ÷ 12 = 12.

How to use

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  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
  3. 3Attribute as “Image by Kuraplan” or link back to kuraplan.com. Not for commercial resale.

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