Factors of 588

How to find the factors of 588

Test every whole number from 1 up to the square root of 588 (√588 ≈ 24.249). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 588 ÷ 1 = 588 — so 1 and 588 are factors
• 588 ÷ 2 = 294 — so 2 and 294 are factors
• 588 ÷ 3 = 196 — so 3 and 196 are factors
• 588 ÷ 4 = 147 — so 4 and 147 are factors
• 588 ÷ 5 = 117.6 — not a whole number
• 588 ÷ 6 = 98 — so 6 and 98 are factors
• 588 ÷ 7 = 84 — so 7 and 84 are factors
• 588 ÷ 8 = 73.5 — not a whole number
• 588 ÷ 9 = 65.333 — not a whole number
• 588 ÷ 10 = 58.8 — not a whole number
• 588 ÷ 11 = 53.455 — not a whole number
• 588 ÷ 12 = 49 — so 12 and 49 are factors
• 588 ÷ 13 = 45.231 — not a whole number
• 588 ÷ 14 = 42 — so 14 and 42 are factors
• 588 ÷ 15 = 39.2 — not a whole number
• 588 ÷ 16 = 36.75 — not a whole number
• 588 ÷ 17 = 34.588 — not a whole number
• 588 ÷ 18 = 32.667 — not a whole number
• 588 ÷ 19 = 30.947 — not a whole number
• 588 ÷ 20 = 29.4 — not a whole number
• 588 ÷ 21 = 28 — so 21 and 28 are factors
• 588 ÷ 22 = 26.727 — not a whole number
• 588 ÷ 23 = 25.565 — not a whole number
• 588 ÷ 24 = 24.5 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588.

Prime factorization of 588

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

The primes you divided by give 588 = 2² × 3 × 7². From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (2 + 1) = 18.

Properties of 588

• 588 is a composite number.
• The sum of all its factors is 1,596; the sum of its proper factors (excluding 588) is 1,008, which makes it a abundant number (its proper factors add up to more than itself).
• 588 is not a perfect square, so its factors pair up evenly.
• Multiples of 588 include 1,176, 1,764, 2,352, 2,940 and so on.

Factors vs. multiples

Factors of 588 are the numbers that divide into it; multiples of 588 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.