Kalkaaliyihii Faqriinta
kala qaybi tirada hoos u faahfaahintiisa prime.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
Prime factorization expresses a whole number as a product of prime numbers — the unique "building blocks" that multiply to give it. This calculator returns the factorization in exponent form, the full list of prime factors, how many divisors the number has, and whether it is prime.
It works by trial division: divide out the smallest prime that fits (2s first, then 3s, then 5s, and so on) until only 1 remains, then group repeated primes into powers. For example, 360 = 2 × 2 × 2 × 3 × 3 × 5, written 2³ × 3² × 5. The number of divisors follows from the exponents — add one to each and multiply: (3+1) × (2+1) × (1+1) = 24 divisors for 360. If a number factors into just itself, it is prime.
Prime factorization is the basis for finding the GCD and LCM, reducing fractions, and public-key cryptography, whose security rests on how hard factoring very large numbers is. Every whole number above 1 has exactly one prime factorization.
Su'aalaha badanaa la isweydiiyo
Maxaa ah factorization Prime?
Waa in la qoraa tirada sida wax soo saarka tirada ugu horeysa. 360 = 2 × 3 × 3 × 5, caadi ahaan waxaa lagu qoraa 2³ × 3² × 5.
Sidee baan u ogaan karaa haddii tirada waa ugu horreeya?
A prime waxaa si toos ah u leeyahay hal faahfaahin prime — isaga. Haddii factorization waa kaliya tirada ku gaar ah, waa prime.
Sidee badan ayaa qaybiyaal ah ayaa tirada leh?
Ku dar mid ka mid ah oo ku saabsan mid kasta oo ka mid ah qaybinta iyo isku darka. 360 = 2³ × 3² × 5, sidaas darteed waxay leedahay (3+1) × (2+1) × (1+1) = 24 qaybiyaal.
Miyuu yahay tirada ugu horeysa ee la soo saaray?
Midka ugu yar ee ku habboon: qalabka ayaa kala qaybiya dhammaan 2s, ka dibna 3s, ka dibna 5s, oo sii wada kor u kacaya inta lagu jiro primes.
Ma 1 waa tirada ugu horeysa?
No. Mid ka mid ah ma laha sababaha ugu weyn, iyo heshiiska waa mid ka mid ah ugu weyn iyo mid isku dhafan, sidaas darteed qalabka u baahan yahay in la soo galo ugu yaraan 2.
Maxay yihiin Primes la soo celiyey oo la muujiyey sida?
Waxay ku kala qaybsan yihiin qaabka exponent. Saddex sababood oo 2 waxaa lagu qoray 2³ ka badan 2 × 2 × 2.
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/prime-factorization/curl
curl "https://calculator.free/api/v1/prime-factorization/?n=360"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/prime-factorization/?" + new URLSearchParams({
"n": "360"
}));
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.