Prime Factorization Calculator
Kuparadzanisa nhamba kuita mafactori ake akakosha.
Zvinyorwa zvinogadziridzwa paunenge uchinyora.
Nezve iyi kalkulator
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.
Zvimwe zvinobvunzwa zvakanyanya
Chii chinonzi prime factorization?
360 = 2 × 3 × 3 × 5, inonyorwa se 2³ × 3² × 5, asi inorevawo kuti 360 = 2 × 3 × 3 × 5.
Ndinogona sei kutaura kana nhamba iri isingagumi?
Kana zvikamu zvemutauro wechiGerman zvikaenzaniswa nezvinyorwa zvechiGerman, zvinonzi zvinyorwa zvechiGerman. Kana zvinyorwa zvechiGerman zvikaenzaniswa nezvinyorwa zvechiGerman, zvinonzi zvinyorwa zvechiGerman.
Ndezvipi zvidimbu zvinosiyana zvemutauro mumwe chete?
360 = 2³ × 3² × 5, saka ine (3+1) × (2+1) × (1+1) = 24 divisors. 360 = 2³ × 3² × 5, saka ine (3+1) × (2+1) × (1+1) = 24 divisors.
Ndeipi nhamba huru inofanira kuverengerwa pakutanga?
The smallest one that fits: the tool divides out all the 2s, then the 3s, then the 5s, and continues upward through the primes.
1 ndeimwe yezviuru zvemazana?
Hapana. Mumwe ane hapana zvikonzero zvekutanga, uye nechibvumirano ndezvekuti haasi mukuru kana kuumbwa, saka chirongwa chinofanira kupihwa mutero we2.
Chii chinonzi repeated primes?
Zvimwe zvikonzero zvekuti 2 zvive nezvikamu zvitatu zvinonyorwa se2³, asi 2 × 2 × 2 hazvisi izvo.
API — kushandisa iyi kalkulator kubva code
Nhare iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo mavara pasi separameter query kana JSON. Chii zvachose chaunoisa kunze chinoshandisa default iyo peji iri rakasviba nayo; parameter isiri yechokwadi inonzi 400, uye haisi zero. Tora yakazara API docs →
Endpoint
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);Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.