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Factors of 440

440 has 16 factors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220 and 440. Its prime factorization is 2³ × 5 × 11.

Factor pairs of 440

Factor×FactorProduct
1×440440
2×220440
4×110440
5×88440
8×55440
10×44440
11×40440
20×22440

Negative pairs work too: (−1) × (−440), (−2) × (−220), … = 440.

Number of factors
16
Factor pairs
8
Sum of factors
1,080
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2³ × 5 × 11

How to find the factors of 440

Test every whole number from 1 up to the square root of 440 (√440 ≈ 20.976). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 440 ÷ 1 = 440 — so 1 and 440 are factors
  • 440 ÷ 2 = 220 — so 2 and 220 are factors
  • 440 ÷ 3 = 146.667 — not a whole number
  • 440 ÷ 4 = 110 — so 4 and 110 are factors
  • 440 ÷ 5 = 88 — so 5 and 88 are factors
  • 440 ÷ 6 = 73.333 — not a whole number
  • 440 ÷ 7 = 62.857 — not a whole number
  • 440 ÷ 8 = 55 — so 8 and 55 are factors
  • 440 ÷ 9 = 48.889 — not a whole number
  • 440 ÷ 10 = 44 — so 10 and 44 are factors
  • 440 ÷ 11 = 40 — so 11 and 40 are factors
  • 440 ÷ 12 = 36.667 — not a whole number
  • 440 ÷ 13 = 33.846 — not a whole number
  • 440 ÷ 14 = 31.429 — not a whole number
  • 440 ÷ 15 = 29.333 — not a whole number
  • 440 ÷ 16 = 27.5 — not a whole number
  • 440 ÷ 17 = 25.882 — not a whole number
  • 440 ÷ 18 = 24.444 — not a whole number
  • 440 ÷ 19 = 23.158 — not a whole number
  • 440 ÷ 20 = 22 — so 20 and 22 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220 and 440.

Prime factorization of 440

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

440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

The primes you divided by give 440 = 2³ × 5 × 11. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 440

  • 440 is a composite number.
  • The sum of all its factors is 1,080; the sum of its proper factors (excluding 440) is 640, which makes it a abundant number (its proper factors add up to more than itself).
  • 440 is not a perfect square, so its factors pair up evenly.
  • Multiples of 440 include 880, 1,320, 1,760, 2,200 and so on.

Factors vs. multiples

Factors of 440 are the numbers that divide into it; multiples of 440 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 440?

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220 and 440. Each of these divides 440 with no remainder.

How many factors does 440 have?

440 has 16 positive factors, which form 8 factor pairs. Counting negative factors as well doubles that to 32.

What is the prime factorization of 440?

440 = 2³ × 5 × 11. Its distinct prime factors are 2, 5 and 11.

Is 440 a prime number?

No. 440 is composite because it has 16 factors, more than the two a prime number has.