Factors of 880

How to find the factors of 880

Test every whole number from 1 up to the square root of 880 (√880 ≈ 29.665). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 880 ÷ 1 = 880 — so 1 and 880 are factors
• 880 ÷ 2 = 440 — so 2 and 440 are factors
• 880 ÷ 3 = 293.333 — not a whole number
• 880 ÷ 4 = 220 — so 4 and 220 are factors
• 880 ÷ 5 = 176 — so 5 and 176 are factors
• 880 ÷ 6 = 146.667 — not a whole number
• 880 ÷ 7 = 125.714 — not a whole number
• 880 ÷ 8 = 110 — so 8 and 110 are factors
• 880 ÷ 9 = 97.778 — not a whole number
• 880 ÷ 10 = 88 — so 10 and 88 are factors
• 880 ÷ 11 = 80 — so 11 and 80 are factors
• 880 ÷ 12 = 73.333 — not a whole number
• 880 ÷ 13 = 67.692 — not a whole number
• 880 ÷ 14 = 62.857 — not a whole number
• 880 ÷ 15 = 58.667 — not a whole number
• 880 ÷ 16 = 55 — so 16 and 55 are factors
• 880 ÷ 17 = 51.765 — not a whole number
• 880 ÷ 18 = 48.889 — not a whole number
• 880 ÷ 19 = 46.316 — not a whole number
• 880 ÷ 20 = 44 — so 20 and 44 are factors
• 880 ÷ 21 = 41.905 — not a whole number
• 880 ÷ 22 = 40 — so 22 and 40 are factors
• 880 ÷ 23 = 38.261 — not a whole number
• 880 ÷ 24 = 36.667 — not a whole number
• 880 ÷ 25 = 35.2 — not a whole number
• 880 ÷ 26 = 33.846 — not a whole number
• 880 ÷ 27 = 32.593 — not a whole number
• 880 ÷ 28 = 31.429 — not a whole number
• 880 ÷ 29 = 30.345 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440 and 880.

Prime factorization of 880

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

The primes you divided by give 880 = 2⁴ × 5 × 11. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 880

• 880 is a composite number.
• The sum of all its factors is 2,232; the sum of its proper factors (excluding 880) is 1,352, which makes it a abundant number (its proper factors add up to more than itself).
• 880 is not a perfect square, so its factors pair up evenly.
• Multiples of 880 include 1,760, 2,640, 3,520, 4,400 and so on.

Factors vs. multiples

Factors of 880 are the numbers that divide into it; multiples of 880 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.