I-Prime Factorization Calculator
Ukwahlula inani ezantsi kuzinto eziphambili zayo.
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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.
Imibuzo ebuza rhoqo
Yintoni ukwenziwa kwezinto eziphambili?
Ibhala inani njengemveliso yezinto eziphambili. 360 = 2 × 3 × 3 × 5, iqhelekileyo ibhalwe njenge 2³ × 3² × 5.
Ndiyazibuza njani ukuba inani liyi-prime?
Ixabiso eliphambili linezinto eziphambili ezi-1 kuphela - ixabiso eliphambili. Ukuba ukwenziwa kwezinto ezi-1 kuphela kuyinani elilodwa, lixabiso eliphambili.
Ingaba inani lineziqalisi ezili-10?
Yongeza enye kwi-exponent nganye kwi-factorization kwaye uyiphindaphindwe. 360 = 2³ × 3² × 5, ngoko i- (3+1) × (2+1) × (1+1) = 24 iziqalisi.
Yintoni ixabiso eliphambili eligqitywa kuqala?
Eyona incinci ilungele: isixhobo sihlula zonke ii-2s, emva koko ii-3s, emva koko ii-5s, kwaye siqhubeka phezulu ngee-primes.
Ingaba u-1 ngunani eliphambili?
Hayi. Unye awunazo izizathu eziphambili, kwaye ngokunxulumene nesivumelwano asiyi kuqala okanye idityaniswe, ngoko ke isixhobo sifuna ukungena okungenani 2.
Yintoni ebonisa inani eliphinda-phindo eliphambili?
Zidityanisiwe kwifomu ye-exponent. Iinxalenye ezintathu ze-2 zibhalwe njenge-2³ endaweni ye-2 × 2 × 2.
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/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);Results are estimates for general guidance only, not financial, medical or tax advice.