Factors of 500

How to find the factors of 500

Test every whole number from 1 up to the square root of 500 (√500 ≈ 22.361). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 500 ÷ 1 = 500 — so 1 and 500 are factors
• 500 ÷ 2 = 250 — so 2 and 250 are factors
• 500 ÷ 3 = 166.667 — not a whole number
• 500 ÷ 4 = 125 — so 4 and 125 are factors
• 500 ÷ 5 = 100 — so 5 and 100 are factors
• 500 ÷ 6 = 83.333 — not a whole number
• 500 ÷ 7 = 71.429 — not a whole number
• 500 ÷ 8 = 62.5 — not a whole number
• 500 ÷ 9 = 55.556 — not a whole number
• 500 ÷ 10 = 50 — so 10 and 50 are factors
• 500 ÷ 11 = 45.455 — not a whole number
• 500 ÷ 12 = 41.667 — not a whole number
• 500 ÷ 13 = 38.462 — not a whole number
• 500 ÷ 14 = 35.714 — not a whole number
• 500 ÷ 15 = 33.333 — not a whole number
• 500 ÷ 16 = 31.25 — not a whole number
• 500 ÷ 17 = 29.412 — not a whole number
• 500 ÷ 18 = 27.778 — not a whole number
• 500 ÷ 19 = 26.316 — not a whole number
• 500 ÷ 20 = 25 — so 20 and 25 are factors
• 500 ÷ 21 = 23.81 — not a whole number
• 500 ÷ 22 = 22.727 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.

Prime factorization of 500

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

The primes you divided by give 500 = 2² × 5³. From the exponents you can also count the factors without listing them: (2 + 1) × (3 + 1) = 12.

Properties of 500

• 500 is a composite number.
• The sum of all its factors is 1,092; the sum of its proper factors (excluding 500) is 592, which makes it a abundant number (its proper factors add up to more than itself).
• 500 is not a perfect square, so its factors pair up evenly.
• Multiples of 500 include 1,000, 1,500, 2,000, 2,500 and so on.

Factors vs. multiples

Factors of 500 are the numbers that divide into it; multiples of 500 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.