Factors of 558

How to find the factors of 558

Test every whole number from 1 up to the square root of 558 (√558 ≈ 23.622). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 558 ÷ 1 = 558 — so 1 and 558 are factors
• 558 ÷ 2 = 279 — so 2 and 279 are factors
• 558 ÷ 3 = 186 — so 3 and 186 are factors
• 558 ÷ 4 = 139.5 — not a whole number
• 558 ÷ 5 = 111.6 — not a whole number
• 558 ÷ 6 = 93 — so 6 and 93 are factors
• 558 ÷ 7 = 79.714 — not a whole number
• 558 ÷ 8 = 69.75 — not a whole number
• 558 ÷ 9 = 62 — so 9 and 62 are factors
• 558 ÷ 10 = 55.8 — not a whole number
• 558 ÷ 11 = 50.727 — not a whole number
• 558 ÷ 12 = 46.5 — not a whole number
• 558 ÷ 13 = 42.923 — not a whole number
• 558 ÷ 14 = 39.857 — not a whole number
• 558 ÷ 15 = 37.2 — not a whole number
• 558 ÷ 16 = 34.875 — not a whole number
• 558 ÷ 17 = 32.824 — not a whole number
• 558 ÷ 18 = 31 — so 18 and 31 are factors
• 558 ÷ 19 = 29.368 — not a whole number
• 558 ÷ 20 = 27.9 — not a whole number
• 558 ÷ 21 = 26.571 — not a whole number
• 558 ÷ 22 = 25.364 — not a whole number
• 558 ÷ 23 = 24.261 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279 and 558.

Prime factorization of 558

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

The primes you divided by give 558 = 2 × 3² × 31. From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) × (1 + 1) = 12.

Properties of 558

• 558 is a composite number.
• The sum of all its factors is 1,248; the sum of its proper factors (excluding 558) is 690, which makes it a abundant number (its proper factors add up to more than itself).
• 558 is not a perfect square, so its factors pair up evenly.
• Multiples of 558 include 1,116, 1,674, 2,232, 2,790 and so on.

Factors vs. multiples

Factors of 558 are the numbers that divide into it; multiples of 558 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.