Square of 13
13 squared equals 169. 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, 144 sits 25 below and 196 sits 27 above — the square ladder widens by exactly two at every step. An odd base keeps the square odd: 169 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 |
|---|---|
| 13² | 169 |
Frequently asked questions
What is 13 squared?
13 squared is 169, because 13 × 13 = 169. The exponent 2 is why it is written 13².
What is 14 squared, next to 13²?
14² = 196, which is 27 more than 13² = 169. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 13, distance in the Pythagorean theorem, and variance in statistics all use squared values.