Square of 23
23 squared equals 529. 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 — 7 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 9 fits. Between its neighbors, 484 sits 45 below and 576 sits 47 above — the square ladder widens by exactly two at every step. An odd base keeps the square odd: 529 ends in an odd digit, as every odd square must. 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 |
|---|---|
| 23² | 529 |
Frequently asked questions
What is 23 squared?
23 squared is 529, because 23 × 23 = 529. The exponent 2 is why it is written 23².
What is 24 squared, next to 23²?
24² = 576, which is 47 more than 23² = 529. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 23, distance in the Pythagorean theorem, and variance in statistics all use squared values.