Kalkaaliyihii
Tixraac factorial n! of a number buuxa, si sax ah — xitaa qiimaha aad u weyn.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
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.
Su'aalaha badanaa la isweydiiyo
Maxaa factorial loo isticmaalaa?
A factorial tirada qorshayaasha: n! waa tirada orderings kala duwan ee n waxyaabaha. Waa dhismaha block of permutations iyo isku dhafka.
Maxaa 0! (zero factorial)?
By qeexidda 0! = 1. Waxaa jira si toos ah hab mid ah si ay u diyaariyaan set baaquli, sidaas darteed, wax soo saarka baaquli waa 1.
Maxaa 5 factorial?
Waa 5 × 4 × 3 × 2 × 1 = 120, tusaale default this calculator muujinaya.
Sidee weyn factorial ka dhigi kartaa ay xisaabta?
Tan iyo 2000! si sax ah, iyadoo la isticmaalayo integers arbitrary-tusaale, sidaas daraaddeed wax sax ah ma la waayey in kastoo tirada waa weyn.
Maxaa ka dhigaysa in ay muujiyaan tirada digit?
Factorials si deg deg ah u koraan in tirada buuxda waa unwieldy — 100! waxaa jira 158 digits — sidaas digit tirada kuu siin doonaa dareenka deg deg ah ee cabbirka.
Waa maxay qiimaha ku dhow ee?
Waxay muujinaysaa factorial sida mantissa jeer awoodda toban, a fudud-in-qaado qiimeyn muujinaya in ay ku xigta integer saxda ah.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
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);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.