Factors of 501

How to find the factors of 501

Test every whole number from 1 up to the square root of 501 (√501 ≈ 22.383). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 501 ÷ 1 = 501 — so 1 and 501 are factors
• 501 ÷ 2 = 250.5 — not a whole number
• 501 ÷ 3 = 167 — so 3 and 167 are factors
• 501 ÷ 4 = 125.25 — not a whole number
• 501 ÷ 5 = 100.2 — not a whole number
• 501 ÷ 6 = 83.5 — not a whole number
• 501 ÷ 7 = 71.571 — not a whole number
• 501 ÷ 8 = 62.625 — not a whole number
• 501 ÷ 9 = 55.667 — not a whole number
• 501 ÷ 10 = 50.1 — not a whole number
• 501 ÷ 11 = 45.545 — not a whole number
• 501 ÷ 12 = 41.75 — not a whole number
• 501 ÷ 13 = 38.538 — not a whole number
• 501 ÷ 14 = 35.786 — not a whole number
• 501 ÷ 15 = 33.4 — not a whole number
• 501 ÷ 16 = 31.313 — not a whole number
• 501 ÷ 17 = 29.471 — not a whole number
• 501 ÷ 18 = 27.833 — not a whole number
• 501 ÷ 19 = 26.368 — not a whole number
• 501 ÷ 20 = 25.05 — not a whole number
• 501 ÷ 21 = 23.857 — not a whole number
• 501 ÷ 22 = 22.773 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 167 and 501.

Prime factorization of 501

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

The primes you divided by give 501 = 3 × 167. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 501

• 501 is a composite number.
• The sum of all its factors is 672; the sum of its proper factors (excluding 501) is 171, which makes it a deficient number (its proper factors add up to less than itself).
• 501 is not a perfect square, so its factors pair up evenly.
• Multiples of 501 include 1,002, 1,503, 2,004, 2,505 and so on.

Factors vs. multiples

Factors of 501 are the numbers that divide into it; multiples of 501 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.