Factors of 580

How to find the factors of 580

Test every whole number from 1 up to the square root of 580 (√580 ≈ 24.083). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 580 ÷ 1 = 580 — so 1 and 580 are factors
• 580 ÷ 2 = 290 — so 2 and 290 are factors
• 580 ÷ 3 = 193.333 — not a whole number
• 580 ÷ 4 = 145 — so 4 and 145 are factors
• 580 ÷ 5 = 116 — so 5 and 116 are factors
• 580 ÷ 6 = 96.667 — not a whole number
• 580 ÷ 7 = 82.857 — not a whole number
• 580 ÷ 8 = 72.5 — not a whole number
• 580 ÷ 9 = 64.444 — not a whole number
• 580 ÷ 10 = 58 — so 10 and 58 are factors
• 580 ÷ 11 = 52.727 — not a whole number
• 580 ÷ 12 = 48.333 — not a whole number
• 580 ÷ 13 = 44.615 — not a whole number
• 580 ÷ 14 = 41.429 — not a whole number
• 580 ÷ 15 = 38.667 — not a whole number
• 580 ÷ 16 = 36.25 — not a whole number
• 580 ÷ 17 = 34.118 — not a whole number
• 580 ÷ 18 = 32.222 — not a whole number
• 580 ÷ 19 = 30.526 — not a whole number
• 580 ÷ 20 = 29 — so 20 and 29 are factors
• 580 ÷ 21 = 27.619 — not a whole number
• 580 ÷ 22 = 26.364 — not a whole number
• 580 ÷ 23 = 25.217 — not a whole number
• 580 ÷ 24 = 24.167 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290 and 580.

Prime factorization of 580

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

The primes you divided by give 580 = 2² × 5 × 29. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 580

• 580 is a composite number.
• The sum of all its factors is 1,260; the sum of its proper factors (excluding 580) is 680, which makes it a abundant number (its proper factors add up to more than itself).
• 580 is not a perfect square, so its factors pair up evenly.
• Multiples of 580 include 1,160, 1,740, 2,320, 2,900 and so on.

Factors vs. multiples

Factors of 580 are the numbers that divide into it; multiples of 580 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.