Calculator

Wepụ nọmba n'ime ihenhọrọ ndị ahụ.

Prime factorization —
Prime Factors —
Ọnụọgụgụ nke ndịna —
Ọ bụ ihe dị mkpa? —

Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.

Ọ bụrụ na ọbụna ọbụ

N'ihe banyere calculator a

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.

Ajụjụ ndị a na-ajụkarị

Gịnị bụ ntinye ihenhọrọ?

Ọ na-edepụta nọmba dịka ihe n'imepriime. 360 = 2 × 3 × 3 × 5, a na-edekarị ya dịka 2³ × 3² × 5.

Olee otú m ga-esi mara ma ọ bụrụ na nọmba bụ príìm?

Príèmù nwere ákàràmà fàkìtàlì ọ̀sọ̀ - ya onwe ya. Ọ bụrụ ná ákàràmà bụ naanị ọnụọgụgụ n'onwe ya, ọ bụ ákàràmà.

Olee divisors ole nọmba nwere?

Tinye otu n'ime ha n'ime ihenhọrọ ọbụla na faktorịzá nakwa n'ime n'ime. 360 = 2³ × 3² × 5, ya mere ọ nwere (3+1) × (2+1) × (1+1) = 24 divisors.

Príìm ole ka a ga-ewepụ n'oge mbụ?

Nke nta nke dị n'ime nke dị n'ime: tulee na-ewepụ 2s niile, mgbe ahụ 3s, mgbe ahụ 5s, na na-aga n'ihu n'elu site na príèmù.

Ọ bụ 1 ọnụọgụgụ mbụ?

Ọ dịghị. Otu enweghị ihenhọrọ mbụ, na site n'omume ọ bụghị mbụ ma ọ bụ n'otu n'otu, yabụ tùlè ahụ chọrọ n'imegharị nke ọbụla 2.

Gịnị bụ ihe a na-egosi na príìmù ndị na-abịakwute?

Ha e mejupụtara n'ime ụdị ékspéè̀ntị. Faịlụ̀tàrị̀ atọ nke 2 a depụtara 2³ kama 2 × 2 × 2.

❤️ Love Calculator.Free? Kpọnye ya

𝕏  X Facebook Reddit
API — jiri kaadị a site na kóòdù

Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →

Ebemkpofuozi

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);

Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.