Factors of 589

How to find the factors of 589

Test every whole number from 1 up to the square root of 589 (√589 ≈ 24.269). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 589 ÷ 1 = 589 — so 1 and 589 are factors
• 589 ÷ 2 = 294.5 — not a whole number
• 589 ÷ 3 = 196.333 — not a whole number
• 589 ÷ 4 = 147.25 — not a whole number
• 589 ÷ 5 = 117.8 — not a whole number
• 589 ÷ 6 = 98.167 — not a whole number
• 589 ÷ 7 = 84.143 — not a whole number
• 589 ÷ 8 = 73.625 — not a whole number
• 589 ÷ 9 = 65.444 — not a whole number
• 589 ÷ 10 = 58.9 — not a whole number
• 589 ÷ 11 = 53.545 — not a whole number
• 589 ÷ 12 = 49.083 — not a whole number
• 589 ÷ 13 = 45.308 — not a whole number
• 589 ÷ 14 = 42.071 — not a whole number
• 589 ÷ 15 = 39.267 — not a whole number
• 589 ÷ 16 = 36.813 — not a whole number
• 589 ÷ 17 = 34.647 — not a whole number
• 589 ÷ 18 = 32.722 — not a whole number
• 589 ÷ 19 = 31 — so 19 and 31 are factors
• 589 ÷ 20 = 29.45 — not a whole number
• 589 ÷ 21 = 28.048 — not a whole number
• 589 ÷ 22 = 26.773 — not a whole number
• 589 ÷ 23 = 25.609 — not a whole number
• 589 ÷ 24 = 24.542 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 19, 31 and 589.

Prime factorization of 589

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

The primes you divided by give 589 = 19 × 31. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 589

• 589 is a composite number.
• The sum of all its factors is 640; the sum of its proper factors (excluding 589) is 51, which makes it a deficient number (its proper factors add up to less than itself).
• 589 is not a perfect square, so its factors pair up evenly.
• Multiples of 589 include 1,178, 1,767, 2,356, 2,945 and so on.

Factors vs. multiples

Factors of 589 are the numbers that divide into it; multiples of 589 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.