Square Number — 12² = 144 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 12² = 144

About this illustration

Visual representation of the square number 12² = 144 as a 12×12 grid of 144 navy dots. For teaching square numbers, exponents, perfect squares.

What is 12 squared?

12 squared is 144. Squaring a number means multiplying it by itself, so 12² = 12 × 12 = 144. Read the other way round, the square root of 144 is 12.

Calculation
12² = 12 × 12
Answer
144
In words
one hundred and forty-four
Square root
√144 = 12
Position
the 12th square number
  • Squaring means multiplying a number by itself, so 12² = 12 × 12 = 144.
  • 144 is called a square number because 144 counters can be arranged in a perfect square of 12 rows with 12 in each row.
  • The opposite of squaring is taking the square root, so √144 = 12.
  • 12 squared is not 12 × 2. 12 × 2 = 24, but 12² = 144.
  • Each square number is the odd numbers added up in order: 144 − 121 = 23, so the gap from 121 to 144 is 23.

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