Factors of 509

How to find the factors of 509

Test every whole number from 1 up to the square root of 509 (√509 ≈ 22.561). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 509 ÷ 1 = 509 — so 1 and 509 are factors
• 509 ÷ 2 = 254.5 — not a whole number
• 509 ÷ 3 = 169.667 — not a whole number
• 509 ÷ 4 = 127.25 — not a whole number
• 509 ÷ 5 = 101.8 — not a whole number
• 509 ÷ 6 = 84.833 — not a whole number
• 509 ÷ 7 = 72.714 — not a whole number
• 509 ÷ 8 = 63.625 — not a whole number
• 509 ÷ 9 = 56.556 — not a whole number
• 509 ÷ 10 = 50.9 — not a whole number
• 509 ÷ 11 = 46.273 — not a whole number
• 509 ÷ 12 = 42.417 — not a whole number
• 509 ÷ 13 = 39.154 — not a whole number
• 509 ÷ 14 = 36.357 — not a whole number
• 509 ÷ 15 = 33.933 — not a whole number
• 509 ÷ 16 = 31.813 — not a whole number
• 509 ÷ 17 = 29.941 — not a whole number
• 509 ÷ 18 = 28.278 — not a whole number
• 509 ÷ 19 = 26.789 — not a whole number
• 509 ÷ 20 = 25.45 — not a whole number
• 509 ÷ 21 = 24.238 — not a whole number
• 509 ÷ 22 = 23.136 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 509.

Prime factorization of 509

509 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 509.

Properties of 509

• 509 is a prime number.
• The sum of all its factors is 510; the sum of its proper factors (excluding 509) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 509 is not a perfect square, so its factors pair up evenly.
• Multiples of 509 include 1,018, 1,527, 2,036, 2,545 and so on.

Factors vs. multiples

Factors of 509 are the numbers that divide into it; multiples of 509 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.