Calculator ya Factorial
Kuwerengetsa factorial n! ya int, moyenera - ngakhale kwambiri matanthauzo akulu.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
The factorial of n (written n!) is the product of every whole number from 1 up to n. This calculator returns the exact value using arbitrary-precision integers, the number of digits in that value, and an approximate mantissa × power-of-ten form for readability.
The calculation is a running product: 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials grow extremely fast — 10! = 3,628,800 and 100! already has 158 digits — which is why the tool shows both the full exact integer and its digit count. By definition 0! = 1 and 1! = 1, since there is exactly one way to arrange an empty or single-item set. It accepts n from 0 up to 2000.
Factorials count the number of ways to order n distinct items and are the foundation of permutations and combinations, the binomial theorem, and probability. Whenever you count arrangements or divide out orderings, a factorial is doing the work underneath.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi chiyani factorial amagwiritsa ntchito?
A factorial mfundo zowerengera: n! ndi idadi ya zosiyanasiyana orderings n zinthu. Ndi nyumba block ya permutations ndi kugwirizana.
Kodi ndi chiyani 0! (zero factorial)?
Mwa tanthauzo 0! = 1. Palibe moyenera njira imodzi yoyang'anira cholakwika set, kotero cholakwika mankhwala ndi 1.
Kodi ndi chiyani 5 factorial?
Ndi 5 × 4 × 3 × 2 × 1 = 120, default chitsanzo ichi calculator amasonyeza.
Kodi ndi chiyani chofunika kwambiri factorial angachite?
Kufika 2000! moyenera, pogwiritsa ntchito arbitrary-precision integers, kotero palibe khalidwe labwino ndi kuwonongeka ngakhale kuti mnda ndi lalikulu.
N’chifukwa chiyani amasonyeza digito kuwerengetsa?
Factorials kukula mofulumira kuti wonse mnda ndi unhandled — 100! ali 158 digits — kotero digiti mnda amapereka inu mosavuta kumvetsa yake kukula.
Kodi ndi chiyani kufunika kwa ndalama?
Zimasonyeza factorial monga mantissa nthawi imodzi mphamvu ya makumi, olimba-kuwerenga kuyerekezera anasonyeza pafupi ndi weniweni integer.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
GET https://calculator.free/api/v1/factorial/curl
curl "https://calculator.free/api/v1/factorial/?n=5"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/factorial/?" + new URLSearchParams({
"n": "5"
}));
const data = await r.json();
console.log(data.results);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.