## Factors of 401 to 500

Factors are the whole numbers that can be evenly divided into another number without leaving a remainder. Identifying the factors of numbers between 401 and 500 is essential for solving problems related to divisibility, simplifying fractions, and finding greatest common divisors. This exploration will help deepen your understanding of number properties, particularly in recognizing prime numbers and their prime factors. By examining these factors, you will gain insights into the structure and composition of numbers, which is fundamental for more advanced mathematical concepts and applications. Let’s delve into the factors of each number from 401 to 500.

Download Factors of 401 to 500 in PDF

## Factors of 401 to 500

Download Factors of 401 to 500 in PDF

Numbers | Factors | Prime Factors Form | Prime/Composite |
---|---|---|---|

401 | 1, 401 | 401 | Prime |

402 | 1, 2, 3, 6, 67, 134, 201, 402 | 2 × 3 × 67 | Composite |

403 | 1, 13, 31, 403 | 13 × 31 | Composite |

404 | 1, 2, 4, 101, 202, 404 | 2² × 101 | Composite |

405 | 1, 3, 5, 9, 15, 27, 45, 81, 135, 405 | 3⁴ × 5 | Composite |

406 | 1, 2, 7, 14, 29, 58, 203, 406 | 2 × 7 × 29 | Composite |

407 | 1, 11, 37, 407 | 11 × 37 | Composite |

408 | 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408 | 2³ × 3 × 17 | Composite |

409 | 1, 409 | 409 | Prime |

410 | 1, 2, 5, 10, 41, 82, 205, 410 | 2 × 5 × 41 | Composite |

411 | 1, 3, 137, 411 | 3 × 137 | Composite |

412 | 1, 2, 4, 103, 206, 412 | 2² × 103 | Composite |

413 | 1, 7, 59, 413 | 7 × 59 | Composite |

414 | 1, 2, 3, 6, 69, 138, 207, 414 | 2 × 3 × 69 | Composite |

415 | 1, 5, 83, 415 | 5 × 83 | Composite |

416 | 1, 2, 4, 8, 16, 26, 52, 104, 208, 416 | 2⁵ × 13 | Composite |

417 | 1, 3, 139, 417 | 3 × 139 | Composite |

418 | 1, 2, 11, 19, 22, 38, 209, 418 | 2 × 11 × 19 | Composite |

419 | 1, 419 | 419 | Prime |

420 | 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420 | 2² × 3 × 5 × 7 | Composite |

421 | 1, 421 | 421 | Prime |

422 | 1, 2, 211, 422 | 2 × 211 | Composite |

423 | 1, 3, 141, 423 | 3 × 141 | Composite |

424 | 1, 2, 4, 8, 53, 106, 212, 424 | 2³ × 53 | Composite |

425 | 1, 5, 17, 25, 85, 425 | 5² × 17 | Composite |

426 | 1, 2, 3, 6, 71, 142, 213, 426 | 2 × 3 × 71 | Composite |

427 | 1, 7, 61, 427 | 7 × 61 | Composite |

428 | 1, 2, 4, 107, 214, 428 | 2² × 107 | Composite |

429 | 1, 3, 11, 13, 33, 39, 143, 429 | 3 × 11 × 13 | Composite |

430 | 1, 2, 5, 10, 43, 86, 215, 430 | 2 × 5 × 43 | Composite |

431 | 1, 431 | 431 | Prime |

432 | 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 | 2⁴ × 3³ | Composite |

433 | 1, 433 | 433 | Prime |

434 | 1, 2, 7, 14, 31, 62, 217, 434 | 2 × 7 × 31 | Composite |

435 | 1, 3, 5, 15, 29, 87, 145, 435 | 3 × 5 × 29 | Composite |

436 | 1, 2, 4, 109, 218, 436 | 2² × 109 | Composite |

437 | 1, 19, 23, 437 | 19 × 23 | Composite |

438 | 1, 2, 3, 6, 73, 146, 219, 438 | 2 × 3 × 73 | Composite |

439 | 1, 439 | 439 | Prime |

440 | 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440 | 2³ × 5 × 11 | Composite |

441 | 1, 3, 7, 9, 21, 49, 63, 147, 441 | 3² × 7² | Composite |

442 | 1, 2, 13, 26, 17, 34, 221, 442 | 2 × 13 × 17 | Composite |

443 | 1, 443 | 443 | Prime |

444 | 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444 | 2² × 3 × 37 | Composite |

445 | 1, 5, 89, 445 | 5 × 89 | Composite |

446 | 1, 2, 223, 446 | 2 × 223 | Composite |

447 | 1, 3, 149, 447 | 3 × 149 | Composite |

448 | 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448 | 2⁶ × 7 | Composite |

449 | 1, 449 | 449 | Prime |

450 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450 | 2 × 3² × 5² | Composite |

451 | 1, 11, 41, 451 | 11 × 41 | Composite |

452 | 1, 2, 4, 113, 226, 452 | 2² × 113 | Composite |

453 | 1, 3, 151, 453 | 3 × 151 | Composite |

454 | 1, 2, 227, 454 | 2 × 227 | Composite |

455 | 1, 5, 7, 13, 35, 65, 91, 455 | 5 × 7 × 13 | Composite |

456 | 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456 | 2³ × 3 × 19 | Composite |

457 | 1, 457 | 457 | Prime |

458 | 1, 2, 229, 458 | 2 × 229 | Composite |

459 | 1, 3, 9, 17, 27, 51, 153, 459 | 3³ × 17 | Composite |

460 | 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460 | 2² × 5 × 23 | Composite |

461 | 1, 461 | 461 | Prime |

462 | 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462 | 2 × 3 × 7 × 11 | Composite |

463 | 1, 463 | 463 | Prime |

464 | 1, 2, 4, 8, 58, 116, 232, 464 | 2⁴ × 29 | Composite |

465 | 1, 3, 5, 15, 31, 93, 155, 465 | 3 × 5 × 31 | Composite |

466 | 1, 2, 233, 466 | 2 × 233 | Composite |

467 | 1, 467 | 467 | Prime |

468 | 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 234, 468 | 2² × 3 × 13 | Composite |

469 | 1, 7, 67, 469 | 7 × 67 | Composite |

470 | 1, 2, 5, 10, 47, 94, 235, 470 | 2 × 5 × 47 | Composite |

471 | 1, 3, 157, 471 | 3 × 157 | Composite |

472 | 1, 2, 4, 8, 59, 118, 236, 472 | 2³ × 59 | Composite |

473 | 1, 11, 43, 473 | 11 × 43 | Composite |

474 | 1, 2, 3, 6, 79, 158, 237, 474 | 2 × 3 × 79 | Composite |

475 | 1, 5, 19, 25, 95, 475 | 5² × 19 | Composite |

476 | 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476 | 2² × 7 × 17 | Composite |

477 | 1, 3, 9, 53, 159, 477 | 3² × 53 | Composite |

478 | 1, 2, 239, 478 | 2 × 239 | Composite |

479 | 1, 479 | 479 | Prime |

480 | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 | 2⁵ × 3 × 5 | Composite |

481 | 1, 13, 37, 481 | 13 × 37 | Composite |

482 | 1, 2, 241, 482 | 2 × 241 | Composite |

483 | 1, 3, 7, 21, 23, 69, 161, 483 | 3 × 7 × 23 | Composite |

484 | 1, 2, 4, 11, 22, 44, 121, 242, 484 | 2² × 11² | Composite |

485 | 1, 5, 97, 485 | 5 × 97 | Composite |

486 | 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486 | 2 × 3⁵ | Composite |

487 | 1, 487 | 487 | Prime |

488 | 1, 2, 4, 8, 61, 122, 244, 488 | 2³ × 61 | Composite |

489 | 1, 3, 163, 489 | 3 × 163 | Composite |

490 | 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490 | 2 × 5 × 7² | Composite |

491 | 1, 491 | 491 | Prime |

492 | 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 | 2² × 3 × 41 | Composite |

493 | 1, 17, 29, 493 | 17 × 29 | Composite |

494 | 1, 2, 247, 494 | 2 × 247 | Composite |

495 | 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495 | 3² × 5 × 11 | Composite |

496 | 1, 2, 4, 8, 16, 31, 62, 124, 248, 496 | 2⁴ × 31 | Composite |

497 | 1, 7, 71, 497 | 7 × 71 | Composite |

498 | 1, 2, 3, 6, 83, 166, 249, 498 | 2 × 3 × 83 | Composite |

499 | 1, 499 | 499 | Prime |

500 | 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 | 2² × 5³ | Composite |

The factors of numbers ranging from 401 to 500 are the whole numbers that divide each number exactly without leaving a remainder. For instance, the factors of 401 are 1 and 401, as it is a prime number. As we move through this range, composite numbers such as 420 have multiple factors like 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420. Similarly, 500 has factors including 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. Identifying factors is essential in various mathematical applications, including simplifying fractions, finding greatest common divisors, and solving algebraic problems. Each number within the 401 to 500 range has a unique set of factors that help in understanding its divisibility and prime factorization.