Àwọn Ìṣàmúlò-ètò Ìṣàmúlò-ètò

Tí a bá dá àwọn fákìtorì àìdálẹ̀ láti inú àwọn ìṣàmúlò-ètò àìdálẹ̀ náà.

Ìṣàmúlò-ètò àwọn àwọn ààtò àìṣàmúlò-ètò —

Àwọn fákìtì ìṣàmúlò-ètò —

Àwọn àwọn ìṣàmúlò-ètò —

Ó jẹ́ àwọn àwọn àgbéwọlé? —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

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.

Àwọn Àtòjọ-ẹ̀yàn

Kini ìṣàfarawé àwọn àwọn ìṣàmúlò-ètò?

Ó kọ́ nọmba kan bí àwọn nǹkan-ìṣẹ́gun-prímìmù. 360 = 2 × 3 × 3 × 5, tí a fi kọ́ 2³ × 3² × 5.

Bawo ni mo ti lè sọ pé àwọn à

A prime has exactly one prime factor — itself. If the factorization is just the number on its own, it is prime.

Ìgbà wò nínú àwọn àwọn ìṣàfarawé àwọn àwọn ìṣàfarawé àwọn

Fi kan pánẹ́ẹ̀lì kan sí àwọn àwọn àgbèwọlé nínú ìṣàfarawé àti ìṣàfarawé. 360 = 2³ × 3² × 5, láti jẹ́ pé o ní (3+1) × (2+1) × (1+1) = àwọn ìpàdá 24.

Àwọn àwọn

Ọ̀kan tí o kù jú tí a bà dá: àtòjọ-ẹ̀yàn náà náà gba gbogbo àwọn 2s, àwọn 3s, àwọn 5s, àti àwọn à

Is 1 a prime number?

Kò. Ọ̀kan kò ní àwọn fákìtorì ìṣàmúlò-ètò, àti láti inú ìṣàmúlò-ètò náà o kò jẹ́ ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò, láti jẹ́ pé àtòjọ-ẹ̀yàn náà ní ìṣàmúlò-ètò tí 2 lọ́wọ́lọ́wọ́.

Kini àwọn à

They are grouped into exponent form. Three factors of 2 are written 2³ rather than 2 × 2 × 2.

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

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.

Àkóónú ìṣàmúlò-ètò yìí

Àwọn Àtòjọ-ẹ̀yàn