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Factors of 444

444 has 12 factors: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222 and 444. Its prime factorization is 2² × 3 × 37.

Factor pairs of 444

Factor×FactorProduct
1×444444
2×222444
3×148444
4×111444
6×74444
12×37444

Negative pairs work too: (−1) × (−444), (−2) × (−222), … = 444.

Number of factors
12
Factor pairs
6
Sum of factors
1,064
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2² × 3 × 37

How to find the factors of 444

Test every whole number from 1 up to the square root of 444 (√444 ≈ 21.071). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 444 ÷ 1 = 444 — so 1 and 444 are factors
  • 444 ÷ 2 = 222 — so 2 and 222 are factors
  • 444 ÷ 3 = 148 — so 3 and 148 are factors
  • 444 ÷ 4 = 111 — so 4 and 111 are factors
  • 444 ÷ 5 = 88.8 — not a whole number
  • 444 ÷ 6 = 74 — so 6 and 74 are factors
  • 444 ÷ 7 = 63.429 — not a whole number
  • 444 ÷ 8 = 55.5 — not a whole number
  • 444 ÷ 9 = 49.333 — not a whole number
  • 444 ÷ 10 = 44.4 — not a whole number
  • 444 ÷ 11 = 40.364 — not a whole number
  • 444 ÷ 12 = 37 — so 12 and 37 are factors
  • 444 ÷ 13 = 34.154 — not a whole number
  • 444 ÷ 14 = 31.714 — not a whole number
  • 444 ÷ 15 = 29.6 — not a whole number
  • 444 ÷ 16 = 27.75 — not a whole number
  • 444 ÷ 17 = 26.118 — not a whole number
  • 444 ÷ 18 = 24.667 — not a whole number
  • 444 ÷ 19 = 23.368 — not a whole number
  • 444 ÷ 20 = 22.2 — not a whole number
  • 444 ÷ 21 = 21.143 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222 and 444.

Prime factorization of 444

Divide by the smallest prime that fits, and keep going until the quotient is 1:

444 ÷ 2 = 222
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1

The primes you divided by give 444 = 2² × 3 × 37. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 444

  • 444 is a composite number.
  • The sum of all its factors is 1,064; the sum of its proper factors (excluding 444) is 620, which makes it a abundant number (its proper factors add up to more than itself).
  • 444 is not a perfect square, so its factors pair up evenly.
  • Multiples of 444 include 888, 1,332, 1,776, 2,220 and so on.

Factors vs. multiples

Factors of 444 are the numbers that divide into it; multiples of 444 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.

Frequently asked questions

What are the factors of 444?

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222 and 444. Each of these divides 444 with no remainder.

How many factors does 444 have?

444 has 12 positive factors, which form 6 factor pairs. Counting negative factors as well doubles that to 24.

What is the prime factorization of 444?

444 = 2² × 3 × 37. Its distinct prime factors are 2, 3 and 37.

Is 444 a prime number?

No. 444 is composite because it has 12 factors, more than the two a prime number has.