Factors of 220

How to find the factors of 220

Test every whole number from 1 up to the square root of 220 (√220 ≈ 14.832). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 220 ÷ 1 = 220 — so 1 and 220 are factors
• 220 ÷ 2 = 110 — so 2 and 110 are factors
• 220 ÷ 3 = 73.333 — not a whole number
• 220 ÷ 4 = 55 — so 4 and 55 are factors
• 220 ÷ 5 = 44 — so 5 and 44 are factors
• 220 ÷ 6 = 36.667 — not a whole number
• 220 ÷ 7 = 31.429 — not a whole number
• 220 ÷ 8 = 27.5 — not a whole number
• 220 ÷ 9 = 24.444 — not a whole number
• 220 ÷ 10 = 22 — so 10 and 22 are factors
• 220 ÷ 11 = 20 — so 11 and 20 are factors
• 220 ÷ 12 = 18.333 — not a whole number
• 220 ÷ 13 = 16.923 — not a whole number
• 220 ÷ 14 = 15.714 — not a whole number

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

Prime factorization of 220

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

The primes you divided by give 220 = 2² × 5 × 11. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 220

• 220 is a composite number.
• The sum of all its factors is 504; the sum of its proper factors (excluding 220) is 284, which makes it a abundant number (its proper factors add up to more than itself).
• 220 is not a perfect square, so its factors pair up evenly.
• Multiples of 220 include 440, 660, 880, 1,100 and so on.

Factors vs. multiples

Factors of 220 are the numbers that divide into it; multiples of 220 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.