Factors of 493

How to find the factors of 493

Test every whole number from 1 up to the square root of 493 (√493 ≈ 22.204). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 493 ÷ 1 = 493 — so 1 and 493 are factors
• 493 ÷ 2 = 246.5 — not a whole number
• 493 ÷ 3 = 164.333 — not a whole number
• 493 ÷ 4 = 123.25 — not a whole number
• 493 ÷ 5 = 98.6 — not a whole number
• 493 ÷ 6 = 82.167 — not a whole number
• 493 ÷ 7 = 70.429 — not a whole number
• 493 ÷ 8 = 61.625 — not a whole number
• 493 ÷ 9 = 54.778 — not a whole number
• 493 ÷ 10 = 49.3 — not a whole number
• 493 ÷ 11 = 44.818 — not a whole number
• 493 ÷ 12 = 41.083 — not a whole number
• 493 ÷ 13 = 37.923 — not a whole number
• 493 ÷ 14 = 35.214 — not a whole number
• 493 ÷ 15 = 32.867 — not a whole number
• 493 ÷ 16 = 30.813 — not a whole number
• 493 ÷ 17 = 29 — so 17 and 29 are factors
• 493 ÷ 18 = 27.389 — not a whole number
• 493 ÷ 19 = 25.947 — not a whole number
• 493 ÷ 20 = 24.65 — not a whole number
• 493 ÷ 21 = 23.476 — not a whole number
• 493 ÷ 22 = 22.409 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 17, 29 and 493.

Prime factorization of 493

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

The primes you divided by give 493 = 17 × 29. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 493

• 493 is a composite number.
• The sum of all its factors is 540; the sum of its proper factors (excluding 493) is 47, which makes it a deficient number (its proper factors add up to less than itself).
• 493 is not a perfect square, so its factors pair up evenly.
• Multiples of 493 include 986, 1,479, 1,972, 2,465 and so on.

Factors vs. multiples

Factors of 493 are the numbers that divide into it; multiples of 493 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.