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.

Decomposition of a number into prime factors
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Answer

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

23571113
171923293137
414347535961
6771 73 79 83 89
97 101103107109 113
127 131137139149151
157163 167173179 181
191 193197199211223
227229 233239241251
257 263269271277281
283293 307311313317
331337347 349353359
367373379 383389397
401 409419421431433
439443 449457461463
467479 487491499503
509521523541547557
563569 571577587593
599601607 613617619
631641 643647653659
661673677683691701
709719 727733739743
751 757761769773787
797809811821823827
829839853 857859863
877 881883887907911
919929 937941947953
967 971977983991997