Factors of 520

How to find the factors of 520

Test every whole number from 1 up to the square root of 520 (√520 ≈ 22.804). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 520 ÷ 1 = 520 — so 1 and 520 are factors
• 520 ÷ 2 = 260 — so 2 and 260 are factors
• 520 ÷ 3 = 173.333 — not a whole number
• 520 ÷ 4 = 130 — so 4 and 130 are factors
• 520 ÷ 5 = 104 — so 5 and 104 are factors
• 520 ÷ 6 = 86.667 — not a whole number
• 520 ÷ 7 = 74.286 — not a whole number
• 520 ÷ 8 = 65 — so 8 and 65 are factors
• 520 ÷ 9 = 57.778 — not a whole number
• 520 ÷ 10 = 52 — so 10 and 52 are factors
• 520 ÷ 11 = 47.273 — not a whole number
• 520 ÷ 12 = 43.333 — not a whole number
• 520 ÷ 13 = 40 — so 13 and 40 are factors
• 520 ÷ 14 = 37.143 — not a whole number
• 520 ÷ 15 = 34.667 — not a whole number
• 520 ÷ 16 = 32.5 — not a whole number
• 520 ÷ 17 = 30.588 — not a whole number
• 520 ÷ 18 = 28.889 — not a whole number
• 520 ÷ 19 = 27.368 — not a whole number
• 520 ÷ 20 = 26 — so 20 and 26 are factors
• 520 ÷ 21 = 24.762 — not a whole number
• 520 ÷ 22 = 23.636 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260 and 520.

Prime factorization of 520

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

The primes you divided by give 520 = 2³ × 5 × 13. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 520

• 520 is a composite number.
• The sum of all its factors is 1,260; the sum of its proper factors (excluding 520) is 740, which makes it a abundant number (its proper factors add up to more than itself).
• 520 is not a perfect square, so its factors pair up evenly.
• Multiples of 520 include 1,040, 1,560, 2,080, 2,600 and so on.

Factors vs. multiples

Factors of 520 are the numbers that divide into it; multiples of 520 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.