Factors of 550

How to find the factors of 550

Test every whole number from 1 up to the square root of 550 (√550 ≈ 23.452). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 550 ÷ 1 = 550 — so 1 and 550 are factors
• 550 ÷ 2 = 275 — so 2 and 275 are factors
• 550 ÷ 3 = 183.333 — not a whole number
• 550 ÷ 4 = 137.5 — not a whole number
• 550 ÷ 5 = 110 — so 5 and 110 are factors
• 550 ÷ 6 = 91.667 — not a whole number
• 550 ÷ 7 = 78.571 — not a whole number
• 550 ÷ 8 = 68.75 — not a whole number
• 550 ÷ 9 = 61.111 — not a whole number
• 550 ÷ 10 = 55 — so 10 and 55 are factors
• 550 ÷ 11 = 50 — so 11 and 50 are factors
• 550 ÷ 12 = 45.833 — not a whole number
• 550 ÷ 13 = 42.308 — not a whole number
• 550 ÷ 14 = 39.286 — not a whole number
• 550 ÷ 15 = 36.667 — not a whole number
• 550 ÷ 16 = 34.375 — not a whole number
• 550 ÷ 17 = 32.353 — not a whole number
• 550 ÷ 18 = 30.556 — not a whole number
• 550 ÷ 19 = 28.947 — not a whole number
• 550 ÷ 20 = 27.5 — not a whole number
• 550 ÷ 21 = 26.19 — not a whole number
• 550 ÷ 22 = 25 — so 22 and 25 are factors
• 550 ÷ 23 = 23.913 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275 and 550.

Prime factorization of 550

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

The primes you divided by give 550 = 2 × 5² × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) × (1 + 1) = 12.

Properties of 550

• 550 is a composite number.
• The sum of all its factors is 1,116; the sum of its proper factors (excluding 550) is 566, which makes it a abundant number (its proper factors add up to more than itself).
• 550 is not a perfect square, so its factors pair up evenly.
• Multiples of 550 include 1,100, 1,650, 2,200, 2,750 and so on.

Factors vs. multiples

Factors of 550 are the numbers that divide into it; multiples of 550 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.