The square of a number is simply the number multiplied by itself (e.g., 5² = 5 × 5 = 25). Memorizing the squares from 1 to 40 is a highly recommended shortcut for students preparing for board exams or competitive exams.
Notice a pattern: The square of any number ending in 5 will always end in 25 (e.g., 5²=25, 15²=225, 25²=625, 35²=1225).
| Number | Square | Number | Square |
|---|---|---|---|
| 1² | 1 | 11² | 121 |
| 2² | 4 | 12² | 144 |
| 3² | 9 | 13² | 169 |
| 4² | 16 | 14² | 196 |
| 5² | 25 | 15² | 225 |
| 6² | 36 | 16² | 256 |
| 7² | 49 | 17² | 289 |
| 8² | 64 | 18² | 324 |
| 9² | 81 | 19² | 361 |
| 10² | 100 | 20² | 400 |
| Number | Square | Number | Square |
|---|---|---|---|
| 21² | 441 | 31² | 961 |
| 22² | 484 | 32² | 1024 |
| 23² | 529 | 33² | 1089 |
| 24² | 576 | 34² | 1156 |
| 25² | 625 | 35² | 1225 |
| 26² | 676 | 36² | 1296 |
| 27² | 729 | 37² | 1369 |
| 28² | 784 | 38² | 1444 |
| 29² | 841 | 39² | 1521 |
| 30² | 900 | 40² | 1600 |
A perfect square is a number that is the square of a whole integer. For example, 16 is a perfect square (because 4x4=16), but 15 is not.
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Factors of 60 and Prime Factorization
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Factors of 72 — Complete List and Prime Factorization
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