Factors of 1,440

Answer

Factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

Number of factors: 36

Factor pairs: (1, 1440), (2, 720), (3, 480), (4, 360), (5, 288), (6, 240), (8, 180), (9, 160), (10, 144), (12, 120), (15, 96), (16, 90), (18, 80), (20, 72), (24, 60), (30, 48), (32, 45), (36, 40)

Prime Factorization

1440 = 2⁵ × 3² × 5

Properties

This number is not prime
This number is not a perfect square
This is an even number
Sum of all factors: 4,914

Check Numbers from 1 to 1,440

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 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1,018 1,019 1,020 1,021 1,022 1,023 1,024 1,025 1,026 1,027 1,028 1,029 1,030 1,031 1,032 1,033 1,034 1,035 1,036 1,037 1,038 1,039 1,040 1,041 1,042 1,043 1,044 1,045 1,046 1,047 1,048 1,049 1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074 1,075 1,076 1,077 1,078 1,079 1,080 1,081 1,082 1,083 1,084 1,085 1,086 1,087 1,088 1,089 1,090 1,091 1,092 1,093 1,094 1,095 1,096 1,097 1,098 1,099 1,100 1,101 1,102 1,103 1,104 1,105 1,106 1,107 1,108 1,109 1,110 1,111 1,112 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122 1,123 1,124 1,125 1,126 1,127 1,128 1,129 1,130 1,131 1,132 1,133 1,134 1,135 1,136 1,137 1,138 1,139 1,140 1,141 1,142 1,143 1,144 1,145 1,146 1,147 1,148 1,149 1,150 1,151 1,152 1,153 1,154 1,155 1,156 1,157 1,158 1,159 1,160 1,161 1,162 1,163 1,164 1,165 1,166 1,167 1,168 1,169 1,170 1,171 1,172 1,173 1,174 1,175 1,176 1,177 1,178 1,179 1,180 1,181 1,182 1,183 1,184 1,185 1,186 1,187 1,188 1,189 1,190 1,191 1,192 1,193 1,194 1,195 1,196 1,197 1,198 1,199 1,200 1,201 1,202 1,203 1,204 1,205 1,206 1,207 1,208 1,209 1,210 1,211 1,212 1,213 1,214 1,215 1,216 1,217 1,218 1,219 1,220 1,221 1,222 1,223 1,224 1,225 1,226 1,227 1,228 1,229 1,230 1,231 1,232 1,233 1,234 1,235 1,236 1,237 1,238 1,239 1,240 1,241 1,242 1,243 1,244 1,245 1,246 1,247 1,248 1,249 1,250 1,251 1,252 1,253 1,254 1,255 1,256 1,257 1,258 1,259 1,260 1,261 1,262 1,263 1,264 1,265 1,266 1,267 1,268 1,269 1,270 1,271 1,272 1,273 1,274 1,275 1,276 1,277 1,278 1,279 1,280 1,281 1,282 1,283 1,284 1,285 1,286 1,287 1,288 1,289 1,290 1,291 1,292 1,293 1,294 1,295 1,296 1,297 1,298 1,299 1,300 1,301 1,302 1,303 1,304 1,305 1,306 1,307 1,308 1,309 1,310 1,311 1,312 1,313 1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329 1,330 1,331 1,332 1,333 1,334 1,335 1,336 1,337 1,338 1,339 1,340 1,341 1,342 1,343 1,344 1,345 1,346 1,347 1,348 1,349 1,350 1,351 1,352 1,353 1,354 1,355 1,356 1,357 1,358 1,359 1,360 1,361 1,362 1,363 1,364 1,365 1,366 1,367 1,368 1,369 1,370 1,371 1,372 1,373 1,374 1,375 1,376 1,377 1,378 1,379 1,380 1,381 1,382 1,383 1,384 1,385 1,386 1,387 1,388 1,389 1,390 1,391 1,392 1,393 1,394 1,395 1,396 1,397 1,398 1,399 1,400 1,401 1,402 1,403 1,404 1,405 1,406 1,407 1,408 1,409 1,410 1,411 1,412 1,413 1,414 1,415 1,416 1,417 1,418 1,419 1,420 1,421 1,422 1,423 1,424 1,425 1,426 1,427 1,428 1,429 1,430 1,431 1,432 1,433 1,434 1,435 1,436 1,437 1,438 1,439 1,440

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Factors of 1,439 Factors of 1,441 Prime Factors of 1,440

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Understanding the Factors of 1,440

When we look at the number 1,440, we find that it has 36 factors in total. These are the numbers that divide evenly into 1,440 with no remainder.

This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 2⁵ × 3² × 5.

Factor Pairs

The factors of 1,440 can be arranged in pairs: (1, 1440), (2, 720), (3, 480), (4, 360), (5, 288), (6, 240), (8, 180), (9, 160), (10, 144), (12, 120), (15, 96), (16, 90), (18, 80), (20, 72), (24, 60), (30, 48), (32, 45), (36, 40). Each pair multiplies to give 1,440.