Factors of 508

How to find the factors of 508

Test every whole number from 1 up to the square root of 508 (√508 ≈ 22.539). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 508 ÷ 1 = 508 — so 1 and 508 are factors
• 508 ÷ 2 = 254 — so 2 and 254 are factors
• 508 ÷ 3 = 169.333 — not a whole number
• 508 ÷ 4 = 127 — so 4 and 127 are factors
• 508 ÷ 5 = 101.6 — not a whole number
• 508 ÷ 6 = 84.667 — not a whole number
• 508 ÷ 7 = 72.571 — not a whole number
• 508 ÷ 8 = 63.5 — not a whole number
• 508 ÷ 9 = 56.444 — not a whole number
• 508 ÷ 10 = 50.8 — not a whole number
• 508 ÷ 11 = 46.182 — not a whole number
• 508 ÷ 12 = 42.333 — not a whole number
• 508 ÷ 13 = 39.077 — not a whole number
• 508 ÷ 14 = 36.286 — not a whole number
• 508 ÷ 15 = 33.867 — not a whole number
• 508 ÷ 16 = 31.75 — not a whole number
• 508 ÷ 17 = 29.882 — not a whole number
• 508 ÷ 18 = 28.222 — not a whole number
• 508 ÷ 19 = 26.737 — not a whole number
• 508 ÷ 20 = 25.4 — not a whole number
• 508 ÷ 21 = 24.19 — not a whole number
• 508 ÷ 22 = 23.091 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 127, 254 and 508.

Prime factorization of 508

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

The primes you divided by give 508 = 2² × 127. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 508

• 508 is a composite number.
• The sum of all its factors is 896; the sum of its proper factors (excluding 508) is 388, which makes it a deficient number (its proper factors add up to less than itself).
• 508 is not a perfect square, so its factors pair up evenly.
• Multiples of 508 include 1,016, 1,524, 2,032, 2,540 and so on.

Factors vs. multiples

Factors of 508 are the numbers that divide into it; multiples of 508 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.