Factors of 502

How to find the factors of 502

Test every whole number from 1 up to the square root of 502 (√502 ≈ 22.405). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 502 ÷ 1 = 502 — so 1 and 502 are factors
• 502 ÷ 2 = 251 — so 2 and 251 are factors
• 502 ÷ 3 = 167.333 — not a whole number
• 502 ÷ 4 = 125.5 — not a whole number
• 502 ÷ 5 = 100.4 — not a whole number
• 502 ÷ 6 = 83.667 — not a whole number
• 502 ÷ 7 = 71.714 — not a whole number
• 502 ÷ 8 = 62.75 — not a whole number
• 502 ÷ 9 = 55.778 — not a whole number
• 502 ÷ 10 = 50.2 — not a whole number
• 502 ÷ 11 = 45.636 — not a whole number
• 502 ÷ 12 = 41.833 — not a whole number
• 502 ÷ 13 = 38.615 — not a whole number
• 502 ÷ 14 = 35.857 — not a whole number
• 502 ÷ 15 = 33.467 — not a whole number
• 502 ÷ 16 = 31.375 — not a whole number
• 502 ÷ 17 = 29.529 — not a whole number
• 502 ÷ 18 = 27.889 — not a whole number
• 502 ÷ 19 = 26.421 — not a whole number
• 502 ÷ 20 = 25.1 — not a whole number
• 502 ÷ 21 = 23.905 — not a whole number
• 502 ÷ 22 = 22.818 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 251 and 502.

Prime factorization of 502

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

The primes you divided by give 502 = 2 × 251. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 502

• 502 is a composite number.
• The sum of all its factors is 756; the sum of its proper factors (excluding 502) is 254, which makes it a deficient number (its proper factors add up to less than itself).
• 502 is not a perfect square, so its factors pair up evenly.
• Multiples of 502 include 1,004, 1,506, 2,008, 2,510 and so on.

Factors vs. multiples

Factors of 502 are the numbers that divide into it; multiples of 502 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.