There are many different kinds of numbers in math, such as even, odd, prime, composite, etc. But there is a certain kind of number called a “perfect square.” With the help of factorisation of a number, these can be found and written down. This article will teach you what perfect square numbers are, how to write them, and a list of them from 1 to 100, among other things.

**Definition of Perfect Squares**

A “perfect square” is a number that can be written as the square of another number. In other words, it is the result of multiplying an integer by itself.

# Perfect Square Calculator

**1 to 50 Perfect Squares Chart**

**List of Perfect Squares** **1 to 20**

Numbers | Perfect Square | Square roots |
---|---|---|

1 | 1 | 1 x 1 |

2 | 4 | 2 x 2 |

3 | 9 | 3 x 3 |

4 | 16 | 4 x 4 |

5 | 25 | 5 x 5 |

6 | 36 | 6 x 6 |

7 | 49 | 7 x 7 |

8 | 64 | 8 x 8 |

9 | 81 | 9 x 9 |

10 | 100 | 10 x 10 |

11 | 121 | 11 x 11 |

12 | 144 | 12 x 12 |

13 | 169 | 13 x 13 |

14 | 196 | 14 x 14 |

15 | 225 | 15 x 15 |

16 | 256 | 16 x 16 |

17 | 289 | 17 x 17 |

18 | 324 | 18 x 18 |

19 | 361 | 19 x 19 |

20 | 400 | 20 x 20 |

### **List of Perfect Squares** **21 to 44**

Numbers | Perfect Square | Square roots |

21 | 441 | 21 x 21 |

22 | 484 | 22 x 22 |

23 | 529 | 23 x 23 |

24 | 576 | 24 x 24 |

25 | 625 | 25 x 25 |

26 | 676 | 26 x 26 |

27 | 729 | 27 x 27 |

28 | 784 | 28 x 28 |

29 | 841 | 29 x 29 |

30 | 900 | 30 x 30 |

31 | 961 | 31 x 31 |

32 | 1024 | 32 x 32 |

33 | 1089 | 33 x 33 |

34 | 1156 | 34 x 34 |

35 | 1225 | 35 x 35 |

36 | 1296 | 36 x 36 |

37 | 1369 | 37 x 37 |

38 | 1444 | 38 x 38 |

39 | 1521 | 39 x 39 |

40 | 1600 | 40 x 40 |

41 | 1681 | 41 x 41 |

42 | 1764 | 42 x 42 |

43 | 1849 | 43 x 43 |

44 | 1936 | 44 x 44 |

**List of Perfect Squares** **45 to 75**

Number | Perfect Square | Square roots |

45 | 2025 | 45 x 45 |

46 | 2116 | 46 x 46 |

47 | 2209 | 47 x 47 |

48 | 2304 | 48 x 48 |

49 | 2401 | 49 x 49 |

50 | 2500 | 50 x 50 |

51 | 2601 | 51 x 51 |

52 | 2704 | 52 x 52 |

53 | 2809 | 53 x 53 |

54 | 2916 | 54 x 54 |

55 | 3025 | 55 x 55 |

56 | 3136 | 56 x 56 |

57 | 3249 | 57 x 57 |

58 | 3364 | 58 x 58 |

59 | 3481 | 59 x 59 |

60 | 3600 | 60 x 60 |

61 | 3721 | 61 x 61 |

62 | 3844 | 62 x 62 |

63 | 3969 | 63 x 63 |

64 | 4096 | 64 x 64 |

65 | 4225 | 65 x 65 |

66 | 4356 | 66 x 66 |

67 | 4489 | 67 x 67 |

68 | 4624 | 68 x 68 |

69 | 4761 | 69 x 69 |

70 | 4900 | 70 x 70 |

71 | 5041 | 71 x 71 |

72 | 5184 | 72 x 72 |

73 | 5329 | 73 x 73 |

74 | 5476 | 74 x 74 |

75 | 5625 | 75 x 75 |

### **List of Perfect Squares** **76 to 424**

Numbers | Perfect Square | Square roots |

76 | 5776 | 76 x 76 |

77 | 5929 | 77 x 77 |

78 | 6084 | 78 x 78 |

79 | 6241 | 79 x 79 |

80 | 6400 | 80 x 80 |

81 | 6561 | 81 x 81 |

82 | 6724 | 82 x 82 |

83 | 6889 | 83 x 83 |

84 | 7056 | 84 x 84 |

85 | 7225 | 85 x 85 |

86 | 7396 | 86 x 86 |

87 | 7569 | 87 x 87 |

88 | 7744 | 88 x 88 |

89 | 7921 | 89 x 89 |

90 | 8100 | 90 x 90 |

91 | 8281 | 91 x 91 |

92 | 8464 | 92 x 92 |

93 | 8649 | 93 x 93 |

94 | 8836 | 94 x 94 |

95 | 9025 | 95 x 95 |

96 | 9216 | 96 x 96 |

97 | 9409 | 97 x 97 |

98 | 9604 | 98 x 98 |

99 | 9801 | 99 x 99 |

100 | 10000 | 100 x 100 |

101 | 10201 | 101 x 101 |

102 | 10404 | 102 x 102 |

103 | 10609 | 103 x 103 |

104 | 10816 | 104 x 104 |

105 | 11025 | 105 x 105 |

106 | 11236 | 106 x 106 |

107 | 11449 | 107 x 107 |

108 | 11664 | 108 x 108 |

109 | 11881 | 109 x 109 |

110 | 12100 | 110 x 110 |

111 | 12321 | 111 x 111 |

112 | 12544 | 112 x 112 |

113 | 12769 | 113 x 113 |

114 | 12996 | 114 x 114 |

115 | 13225 | 115 x 115 |

116 | 13456 | 116 x 116 |

117 | 13689 | 117 x 117 |

118 | 13924 | 118 x 118 |

119 | 14161 | 119 x 119 |

120 | 14400 | 120 x 120 |

121 | 14641 | 121 x 121 |

122 | 14884 | 122 x 122 |

123 | 15129 | 123 x 123 |

124 | 15376 | 124 x 124 |

125 | 15625 | 125 x 125 |

126 | 15876 | 126 x 126 |

127 | 16129 | 127 x 127 |

128 | 16384 | 128 x 128 |

129 | 16641 | 129 x 129 |

130 | 16900 | 130 x 130 |

131 | 17161 | 131 x 131 |

132 | 17424 | 132 x 132 |

133 | 17689 | 133 x 133 |

134 | 17956 | 134 x 134 |

135 | 18225 | 135 x 135 |

136 | 18496 | 136 x 136 |

137 | 18769 | 137 x 137 |

138 | 19044 | 138 x 138 |

139 | 19321 | 139 x 139 |

140 | 19600 | 140 x 140 |

141 | 19881 | 141 x 141 |

142 | 20164 | 142 x 142 |

143 | 20449 | 143 x 143 |

144 | 20736 | 144 x 144 |

145 | 21025 | 145 x 145 |

146 | 21316 | 146 x 146 |

147 | 21609 | 147 x 147 |

148 | 21904 | 148 x 148 |

149 | 22201 | 149 x 149 |

150 | 22500 | 150 x 150 |

151 | 22801 | 151 x 151 |

152 | 23104 | 152 x 152 |

153 | 23409 | 153 x 153 |

154 | 23716 | 154 x 154 |

155 | 24025 | 155 x 155 |

156 | 24336 | 156 x 156 |

157 | 24649 | 157 x 157 |

158 | 24964 | 158 x 158 |

159 | 25281 | 159 x 159 |

160 | 25600 | 160 x 160 |

161 | 25921 | 161 x 161 |

162 | 26244 | 162 x 162 |

163 | 26569 | 163 x 163 |

164 | 26896 | 164 x 164 |

165 | 27225 | 165 x 165 |

166 | 27556 | 166 x 166 |

167 | 27889 | 167 x 167 |

168 | 28224 | 168 x 168 |

169 | 28561 | 169 x 169 |

170 | 28900 | 170 x 170 |

171 | 29241 | 171 x 171 |

172 | 29584 | 172 x 172 |

173 | 29929 | 173 x 173 |

174 | 30276 | 174 x 174 |

175 | 30625 | 175 x 175 |

176 | 30976 | 176 x 176 |

177 | 31329 | 177 x 177 |

178 | 31684 | 178 x 178 |

179 | 32041 | 179 x 179 |

180 | 32400 | 180 x 180 |

181 | 32761 | 181 x 181 |

182 | 33124 | 182 x 182 |

183 | 33489 | 183 x 183 |

184 | 33856 | 184 x 184 |

185 | 34225 | 185 x 185 |

186 | 34596 | 186 x 186 |

187 | 34969 | 187 x 187 |

188 | 35344 | 188 x 188 |

189 | 35721 | 189 x 189 |

190 | 36100 | 190 x 190 |

191 | 36481 | 191 x 191 |

192 | 36864 | 192 x 192 |

193 | 37249 | 193 x 193 |

194 | 37636 | 194 x 194 |

195 | 38025 | 195 x 195 |

196 | 38416 | 196 x 196 |

197 | 38809 | 197 x 197 |

198 | 39204 | 198 x 198 |

199 | 39601 | 199 x 199 |

200 | 40000 | 200 x 200 |

201 | 40401 | 201 x 201 |

202 | 40804 | 202 x 202 |

203 | 41209 | 203 x 203 |

204 | 41616 | 204 x 204 |

205 | 42025 | 205 x 205 |

206 | 42436 | 206 x 206 |

207 | 42849 | 207 x 207 |

208 | 43264 | 208 x 208 |

209 | 43681 | 209 x 209 |

210 | 44100 | 210 x 210 |

211 | 44521 | 211 x 211 |

212 | 44944 | 212 x 212 |

213 | 45369 | 213 x 213 |

214 | 45796 | 214 x 214 |

215 | 46225 | 215 x 215 |

216 | 46656 | 216 x 216 |

217 | 47089 | 217 x 217 |

218 | 47524 | 218 x 218 |

219 | 47961 | 219 x 219 |

220 | 48400 | 220 x 220 |

221 | 48841 | 221 x 221 |

222 | 49284 | 222 x 222 |

223 | 49729 | 223 x 223 |

224 | 50176 | 224 x 224 |

225 | 50625 | 225 x 225 |

226 | 51076 | 226 x 226 |

227 | 51529 | 227 x 227 |

228 | 51984 | 228 x 228 |

229 | 52441 | 229 x 229 |

230 | 52900 | 230 x 230 |

231 | 53361 | 231 x 231 |

232 | 53824 | 232 x 232 |

233 | 54289 | 233 x 233 |

234 | 54756 | 234 x 234 |

235 | 55225 | 235 x 235 |

236 | 55696 | 236 x 236 |

237 | 56169 | 237 x 237 |

238 | 56644 | 238 x 238 |

239 | 57121 | 239 x 239 |

240 | 57600 | 240 x 240 |

241 | 58081 | 241 x 241 |

242 | 58564 | 242 x 242 |

243 | 59049 | 243 x 243 |

244 | 59536 | 244 x 244 |

245 | 60025 | 245 x 245 |

246 | 60516 | 246 x 246 |

247 | 61009 | 247 x 247 |

248 | 61504 | 248 x 248 |

249 | 62001 | 249 x 249 |

250 | 62500 | 250 x 250 |

251 | 63001 | 251 x 251 |

252 | 63504 | 252 x 252 |

253 | 64009 | 253 x 253 |

254 | 64516 | 254 x 254 |

255 | 65025 | 255 x 255 |

256 | 65536 | 256 x 256 |

257 | 66049 | 257 x 257 |

258 | 66564 | 258 x 258 |

259 | 67081 | 259 x 259 |

260 | 67600 | 260 x 260 |

261 | 68121 | 261 x 261 |

262 | 68644 | 262 x 262 |

263 | 69169 | 263 x 263 |

264 | 69696 | 264 x 264 |

265 | 70225 | 265 x 265 |

266 | 70756 | 266 x 266 |

267 | 71289 | 267 x 267 |

268 | 71824 | 268 x 268 |

269 | 72361 | 269 x 269 |

270 | 72900 | 270 x 270 |

271 | 73441 | 271 x 271 |

272 | 73984 | 272 x 272 |

273 | 74529 | 273 x 273 |

274 | 75076 | 274 x 274 |

275 | 75625 | 275 x 275 |

276 | 76176 | 276 x 276 |

277 | 76729 | 277 x 277 |

278 | 77284 | 278 x 278 |

279 | 77841 | 279 x 279 |

280 | 78400 | 280 x 280 |

281 | 78961 | 281 x 281 |

282 | 79524 | 282 x 282 |

283 | 80089 | 283 x 283 |

284 | 80656 | 284 x 284 |

285 | 81225 | 285 x 285 |

286 | 81796 | 286 x 286 |

287 | 82369 | 287 x 287 |

288 | 82944 | 288 x 288 |

289 | 83521 | 289 x 289 |

290 | 84100 | 290 x 290 |

291 | 84681 | 291 x 291 |

292 | 85264 | 292 x 292 |

293 | 85849 | 293 x 293 |

294 | 86436 | 294 x 294 |

295 | 87025 | 295 x 295 |

296 | 87616 | 296 x 296 |

297 | 88209 | 297 x 297 |

298 | 88804 | 298 x 298 |

299 | 89401 | 299 x 299 |

300 | 90000 | 300 x 300 |

301 | 90601 | 301 x 301 |

302 | 91204 | 302 x 302 |

303 | 91809 | 303 x 303 |

304 | 92416 | 304 x 304 |

305 | 93025 | 305 x 305 |

306 | 93636 | 306 x 306 |

307 | 94249 | 307 x 307 |

308 | 94864 | 308 x 308 |

309 | 95481 | 309 x 309 |

310 | 96100 | 310 x 310 |

311 | 96721 | 311 x 311 |

312 | 97344 | 312 x 312 |

313 | 97969 | 313 x 313 |

314 | 98596 | 314 x 314 |

315 | 99225 | 315 x 315 |

316 | 99856 | 316 x 316 |

317 | 100489 | 317 x 317 |

318 | 101124 | 318 x 318 |

319 | 101761 | 319 x 319 |

320 | 102400 | 320 x 320 |

321 | 103041 | 321 x 321 |

322 | 103684 | 322 x 322 |

323 | 104329 | 323 x 323 |

324 | 104976 | 324 x 324 |

325 | 105625 | 325 x 325 |

326 | 106276 | 326 x 326 |

327 | 106929 | 327 x 327 |

328 | 107584 | 328 x 328 |

329 | 108241 | 329 x 329 |

330 | 108900 | 330 x 330 |

331 | 109561 | 331 x 331 |

332 | 110224 | 332 x 332 |

333 | 110889 | 333 x 333 |

334 | 111556 | 334 x 334 |

335 | 112225 | 335 x 335 |

336 | 112896 | 336 x 336 |

337 | 113569 | 337 x 337 |

338 | 114244 | 338 x 338 |

339 | 114921 | 339 x 339 |

340 | 115600 | 340 x 340 |

341 | 116281 | 341 x 341 |

342 | 116964 | 342 x 342 |

343 | 117649 | 343 x 343 |

344 | 118336 | 344 x 344 |

345 | 119025 | 345 x 345 |

346 | 119716 | 346 x 346 |

347 | 120409 | 347 x 347 |

348 | 121104 | 348 x 348 |

349 | 121801 | 349 x 349 |

350 | 122500 | 350 x 350 |

351 | 123201 | 351 x 351 |

352 | 123904 | 352 x 352 |

353 | 124609 | 353 x 353 |

354 | 125316 | 354 x 354 |

355 | 126025 | 355 x 355 |

356 | 126736 | 356 x 356 |

357 | 127449 | 357 x 357 |

358 | 128164 | 358 x 358 |

359 | 128881 | 359 x 359 |

360 | 129600 | 360 x 360 |

361 | 130321 | 361 x 361 |

362 | 131044 | 362 x 362 |

363 | 131769 | 363 x 363 |

364 | 132496 | 364 x 364 |

365 | 133225 | 365 x 365 |

366 | 133956 | 366 x 366 |

367 | 134689 | 367 x 367 |

368 | 135424 | 368 x 368 |

369 | 136161 | 369 x 369 |

370 | 136900 | 370 x 370 |

371 | 137641 | 371 x 371 |

372 | 138384 | 372 x 372 |

373 | 139129 | 373 x 373 |

374 | 139876 | 374 x 374 |

375 | 140625 | 375 x 375 |

376 | 141376 | 376 x 376 |

377 | 142129 | 377 x 377 |

378 | 142884 | 378 x 378 |

379 | 143641 | 379 x 379 |

380 | 144400 | 380 x 380 |

381 | 145161 | 381 x 381 |

382 | 145924 | 382 x 382 |

383 | 146689 | 383 x 383 |

384 | 147456 | 384 x 384 |

385 | 148225 | 385 x 385 |

386 | 148996 | 386 x 386 |

387 | 149769 | 387 x 387 |

388 | 150544 | 388 x 388 |

389 | 151321 | 389 x 389 |

390 | 152100 | 390 x 390 |

391 | 152881 | 391 x 391 |

392 | 153664 | 392 x 392 |

393 | 154449 | 393 x 393 |

394 | 155236 | 394 x 394 |

395 | 156025 | 395 x 395 |

396 | 156816 | 396 x 396 |

397 | 157609 | 397 x 397 |

398 | 158404 | 398 x 398 |

399 | 159201 | 399 x 399 |

400 | 160000 | 400 x 400 |

401 | 160801 | 401 x 401 |

402 | 161604 | 402 x 402 |

403 | 162409 | 403 x 403 |

404 | 163216 | 404 x 404 |

405 | 164025 | 405 x 405 |

406 | 164836 | 406 x 406 |

407 | 165649 | 407 x 407 |

408 | 166464 | 408 x 408 |

409 | 167281 | 409 x 409 |

410 | 168100 | 410 x 410 |

411 | 168921 | 411 x 411 |

412 | 169744 | 412 x 412 |

413 | 170569 | 413 x 413 |

414 | 171396 | 414 x 414 |

415 | 172225 | 415 x 415 |

416 | 173056 | 416 x 416 |

417 | 173889 | 417 x 417 |

418 | 174724 | 418 x 418 |

419 | 175561 | 419 x 419 |

420 | 176400 | 420 x 420 |

421 | 177241 | 421 x 421 |

422 | 178084 | 422 x 422 |

423 | 178929 | 423 x 423 |

424 | 179776 | 424 x 424 |

### **List of Perfect Squares** **425 to 573**

Numbers | Perfect Square | Square roots |

425 | 180625 | 425 x 425 |

426 | 181476 | 426 x 426 |

427 | 182329 | 427 x 427 |

428 | 183184 | 428 x 428 |

429 | 184041 | 429 x 429 |

430 | 184900 | 430 x 430 |

431 | 185761 | 431 x 431 |

432 | 186624 | 432 x 432 |

433 | 187489 | 433 x 433 |

434 | 188356 | 434 x 434 |

435 | 189225 | 435 x 435 |

436 | 190096 | 436 x 436 |

437 | 190969 | 437 x 437 |

438 | 191844 | 438 x 438 |

439 | 192721 | 439 x 439 |

440 | 193600 | 440 x 440 |

441 | 194481 | 441 x 441 |

442 | 195364 | 442 x 442 |

443 | 196249 | 443 x 443 |

444 | 197136 | 444 x 444 |

445 | 198025 | 445 x 445 |

446 | 198916 | 446 x 446 |

447 | 199809 | 447 x 447 |

448 | 200704 | 448 x 448 |

449 | 201601 | 449 x 449 |

450 | 202500 | 450 x 450 |

451 | 203401 | 451 x 451 |

452 | 204304 | 452 x 452 |

453 | 205209 | 453 x 453 |

454 | 206116 | 454 x 454 |

455 | 207025 | 455 x 455 |

456 | 207936 | 456 x 456 |

457 | 208849 | 457 x 457 |

458 | 209764 | 458 x 458 |

459 | 210681 | 459 x 459 |

460 | 211600 | 460 x 460 |

461 | 212521 | 461 x 461 |

462 | 213444 | 462 x 462 |

463 | 214369 | 463 x 463 |

464 | 215296 | 464 x 464 |

465 | 216225 | 465 x 465 |

466 | 217156 | 466 x 466 |

467 | 218089 | 467 x 467 |

468 | 219024 | 468 x 468 |

469 | 219961 | 469 x 469 |

470 | 220900 | 470 x 470 |

471 | 221841 | 471 x 471 |

472 | 222784 | 472 x 472 |

473 | 223729 | 473 x 473 |

474 | 224676 | 474 x 474 |

475 | 225625 | 475 x 475 |

476 | 226576 | 476 x 476 |

477 | 227529 | 477 x 477 |

478 | 228484 | 478 x 478 |

479 | 229441 | 479 x 479 |

480 | 230400 | 480 x 480 |

481 | 231361 | 481 x 481 |

482 | 232324 | 482 x 482 |

483 | 233289 | 483 x 483 |

484 | 234256 | 484 x 484 |

485 | 235225 | 485 x 485 |

486 | 236196 | 486 x 486 |

487 | 237169 | 487 x 487 |

488 | 238144 | 488 x 488 |

489 | 239121 | 489 x 489 |

490 | 240100 | 490 x 490 |

491 | 241081 | 491 x 491 |

492 | 242064 | 492 x 492 |

493 | 243049 | 493 x 493 |

494 | 244036 | 494 x 494 |

495 | 245025 | 495 x 495 |

496 | 246016 | 496 x 496 |

497 | 247009 | 497 x 497 |

498 | 248004 | 498 x 498 |

499 | 249001 | 499 x 499 |

500 | 250000 | 500 x 500 |

501 | 251001 | 501 x 501 |

502 | 252004 | 502 x 502 |

503 | 253009 | 503 x 503 |

504 | 254016 | 504 x 504 |

505 | 255025 | 505 x 505 |

506 | 256036 | 506 x 506 |

507 | 257049 | 507 x 507 |

508 | 258064 | 508 x 508 |

509 | 259081 | 509 x 509 |

510 | 260100 | 510 x 510 |

511 | 261121 | 511 x 511 |

512 | 262144 | 512 x 512 |

513 | 263169 | 513 x 513 |

514 | 264196 | 514 x 514 |

515 | 265225 | 515 x 515 |

516 | 266256 | 516 x 516 |

517 | 267289 | 517 x 517 |

518 | 268324 | 518 x 518 |

519 | 269361 | 519 x 519 |

520 | 270400 | 520 x 520 |

521 | 271441 | 521 x 521 |

522 | 272484 | 522 x 522 |

523 | 273529 | 523 x 523 |

524 | 274576 | 524 x 524 |

525 | 275625 | 525 x 525 |

526 | 276676 | 526 x 526 |

527 | 277729 | 527 x 527 |

528 | 278784 | 528 x 528 |

529 | 279841 | 529 x 529 |

530 | 280900 | 530 x 530 |

531 | 281961 | 531 x 531 |

532 | 283024 | 532 x 532 |

533 | 284089 | 533 x 533 |

534 | 285156 | 534 x 534 |

535 | 286225 | 535 x 535 |

536 | 287296 | 536 x 536 |

537 | 288369 | 537 x 537 |

538 | 289444 | 538 x 538 |

539 | 290521 | 539 x 539 |

540 | 291600 | 540 x 540 |

541 | 292681 | 541 x 541 |

542 | 293764 | 542 x 542 |

543 | 294849 | 543 x 543 |

544 | 295936 | 544 x 544 |

545 | 297025 | 545 x 545 |

546 | 298116 | 546 x 546 |

547 | 299209 | 547 x 547 |

548 | 300304 | 548 x 548 |

549 | 301401 | 549 x 549 |

550 | 302500 | 550 x 550 |

551 | 303601 | 551 x 551 |

552 | 304704 | 552 x 552 |

553 | 305809 | 553 x 553 |

554 | 306916 | 554 x 554 |

555 | 308025 | 555 x 555 |

556 | 309136 | 556 x 556 |

557 | 310249 | 557 x 557 |

558 | 311364 | 558 x 558 |

559 | 312481 | 559 x 559 |

560 | 313600 | 560 x 560 |

561 | 314721 | 561 x 561 |

562 | 315844 | 562 x 562 |

563 | 316969 | 563 x 563 |

564 | 318096 | 564 x 564 |

565 | 319225 | 565 x 565 |

566 | 320356 | 566 x 566 |

567 | 321489 | 567 x 567 |

568 | 322624 | 568 x 568 |

569 | 323761 | 569 x 569 |

570 | 324900 | 570 x 570 |

571 | 326041 | 571 x 571 |

572 | 327184 | 572 x 572 |

573 | 328329 | 573 x 573 |