I-Calculator ye-Factorial
Bala i factorial n! yenani elipheleleyo, ngokuchanekileyo - nakwixabiso elikhulu kakhulu.
Iinketho ze projekti
Malunga nale Calculator
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.
Imibuzo ebuza rhoqo
Yintoni i-factorial esetyenziswa kuyo?
I-factorial ibala ucwangciso: n! yinani lolawulo olukhethekileyo lwezinto ze-n. Yibloki yokwakha ye-permutations kunye nokudityaniswa.
Yintoni i 0! (i factorial ye zero)?
Ngolwazi oluchaziweyo 0! = 1. Kukho indlela enye yokubeka iseti engenanto, ngoko ke ukwenziwa okungamanzi ku 1.
Yintoni i-5 factorial?
I-5 × 4 × 3 × 2 × 1 = 120, umzekelo ongagqibekanga le kalkulator ibonisa.
Ingaba i-factorial ikhulu kangakanani na ikwazi ukubala?
Ifike kwi 2000! ngokuchanekileyo, usebenzisa i arbitrary- precision integers, ngoko akukho gqibo lulahlekile nokuba inani likhulu.
Kutheni ibonisa inani le-digit?
Factorials grow so fast that the full number is unwieldy — 100! has 158 digits — so the digit count gives you a quick sense of its size.
Yintoni ixabiso elifutshane?
Ibonisa i factorial njenge mantisa amaxesha anamandla eshumi, ubalo olulula lokufundeka oluboniswe kufutshane nenani elipheleleyo elichanekileyo.
API — sebenzisa le calculator ukusuka kwikhowudi
Nceda le khadi lemali njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo ezantsi njengeparameter yombuzo okanye i-JSON. Nantoni na oyenzayo isebenzisa okungagqibekanga okufanayo eli phepha ligqityiwe ngaphambili; iparameter engaziwayo yi 400, ayikho i zero ekhululekileyo. Funda i-API epheleleyo →
Incopho yesiphelo
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);Results are estimates for general guidance only, not financial, medical or tax advice.