The online calculator "Decomposition of a number into prime factors" will allow you to expand any composite number into prime factors. To do this, you need to enter a number in the field and click the "Calculate" button. The peculiarity of this calculator is that it will not only give out the answer, but also will present a detailed solution. With our calculator you can quickly get the result, and a detailed solution will help you understand how the calculation was made.
All natural numbers can be divided into two groups of numbers: simple and composite.
A prime number – is a number that has only two divisors (one and this number itself), i.e. is divided without a remainder only by one and by itself. It is generally accepted that unit (1) is not a prime number. Example of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc. The prime numbers are an infinite set, below are the prime numbers up to 1000.
A composite number – is a number that has more than two divisors. Any composite number can be in the form of produced prime numbers, for example: 84 = 2 · 2 ·3 ·7.
Table of prime numbers up to 1000
2 | 3 | 5 | 7 | 11 | 13 |
17 | 19 | 23 | 29 | 31 | 37 |
41 | 43 | 47 | 53 | 59 | 61 |
67 | 71 | 73 | 79 | 83 | 89 |
97 | 101 | 103 | 107 | 109 | 113 |
127 | 131 | 137 | 139 | 149 | 151 |
157 | 163 | 167 | 173 | 179 | 181 |
191 | 193 | 197 | 199 | 211 | 223 |
227 | 229 | 233 | 239 | 241 | 251 |
257 | 263 | 269 | 271 | 277 | 281 |
283 | 293 | 307 | 311 | 313 | 317 |
331 | 337 | 347 | 349 | 353 | 359 |
367 | 373 | 379 | 383 | 389 | 397 |
401 | 409 | 419 | 421 | 431 | 433 |
439 | 443 | 449 | 457 | 461 | 463 |
467 | 479 | 487 | 491 | 499 | 503 |
509 | 521 | 523 | 541 | 547 | 557 |
563 | 569 | 571 | 577 | 587 | 593 |
599 | 601 | 607 | 613 | 617 | 619 |
631 | 641 | 643 | 647 | 653 | 659 |
661 | 673 | 677 | 683 | 691 | 701 |
709 | 719 | 727 | 733 | 739 | 743 |
751 | 757 | 761 | 769 | 773 | 787 |
797 | 809 | 811 | 821 | 823 | 827 |
829 | 839 | 853 | 857 | 859 | 863 |
877 | 881 | 883 | 887 | 907 | 911 |
919 | 929 | 937 | 941 | 947 | 953 |
967 | 971 | 977 | 983 | 991 | 997 |
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