Factors of 590

How to find the factors of 590

Test every whole number from 1 up to the square root of 590 (√590 ≈ 24.290). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 590 ÷ 1 = 590 — so 1 and 590 are factors
• 590 ÷ 2 = 295 — so 2 and 295 are factors
• 590 ÷ 3 = 196.667 — not a whole number
• 590 ÷ 4 = 147.5 — not a whole number
• 590 ÷ 5 = 118 — so 5 and 118 are factors
• 590 ÷ 6 = 98.333 — not a whole number
• 590 ÷ 7 = 84.286 — not a whole number
• 590 ÷ 8 = 73.75 — not a whole number
• 590 ÷ 9 = 65.556 — not a whole number
• 590 ÷ 10 = 59 — so 10 and 59 are factors
• 590 ÷ 11 = 53.636 — not a whole number
• 590 ÷ 12 = 49.167 — not a whole number
• 590 ÷ 13 = 45.385 — not a whole number
• 590 ÷ 14 = 42.143 — not a whole number
• 590 ÷ 15 = 39.333 — not a whole number
• 590 ÷ 16 = 36.875 — not a whole number
• 590 ÷ 17 = 34.706 — not a whole number
• 590 ÷ 18 = 32.778 — not a whole number
• 590 ÷ 19 = 31.053 — not a whole number
• 590 ÷ 20 = 29.5 — not a whole number
• 590 ÷ 21 = 28.095 — not a whole number
• 590 ÷ 22 = 26.818 — not a whole number
• 590 ÷ 23 = 25.652 — not a whole number
• 590 ÷ 24 = 24.583 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 59, 118, 295 and 590.

Prime factorization of 590

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

The primes you divided by give 590 = 2 × 5 × 59. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 590

• 590 is a composite number.
• The sum of all its factors is 1,080; the sum of its proper factors (excluding 590) is 490, which makes it a deficient number (its proper factors add up to less than itself).
• 590 is not a perfect square, so its factors pair up evenly.
• Multiples of 590 include 1,180, 1,770, 2,360, 2,950 and so on.

Factors vs. multiples

Factors of 590 are the numbers that divide into it; multiples of 590 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.