Square of 12
12 squared equals 144. Squares appear in area calculations, the Pythagorean theorem, and statistics (variance uses squared distances).
Squares obey quiet rules. Divided by 9, a square only ever leaves 0, 1, 4 or 7 — 0 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 4 fits. Between its neighbors, 121 sits 23 below and 169 sits 25 above — the square ladder widens by exactly two at every step. Double the base and the square quadruples: 24² = 576, which is 4 × 144. Two anchors most worth memorizing in this range are 12² = 144 and 15² = 225 — the odd-step rule above is why knowing them pays off, because from any anchor the next square is one step along this page's ladder.
| Expression | Value |
|---|---|
| 12² | 144 |
Frequently asked questions
What is 12 squared?
12 squared is 144, because 12 × 12 = 144. The exponent 2 is why it is written 12².
What is 13 squared, next to 12²?
13² = 169, which is 25 more than 12² = 144. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 12, distance in the Pythagorean theorem, and variance in statistics all use squared values.