Factors of 564

How to find the factors of 564

Test every whole number from 1 up to the square root of 564 (√564 ≈ 23.749). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 564 ÷ 1 = 564 — so 1 and 564 are factors
• 564 ÷ 2 = 282 — so 2 and 282 are factors
• 564 ÷ 3 = 188 — so 3 and 188 are factors
• 564 ÷ 4 = 141 — so 4 and 141 are factors
• 564 ÷ 5 = 112.8 — not a whole number
• 564 ÷ 6 = 94 — so 6 and 94 are factors
• 564 ÷ 7 = 80.571 — not a whole number
• 564 ÷ 8 = 70.5 — not a whole number
• 564 ÷ 9 = 62.667 — not a whole number
• 564 ÷ 10 = 56.4 — not a whole number
• 564 ÷ 11 = 51.273 — not a whole number
• 564 ÷ 12 = 47 — so 12 and 47 are factors
• 564 ÷ 13 = 43.385 — not a whole number
• 564 ÷ 14 = 40.286 — not a whole number
• 564 ÷ 15 = 37.6 — not a whole number
• 564 ÷ 16 = 35.25 — not a whole number
• 564 ÷ 17 = 33.176 — not a whole number
• 564 ÷ 18 = 31.333 — not a whole number
• 564 ÷ 19 = 29.684 — not a whole number
• 564 ÷ 20 = 28.2 — not a whole number
• 564 ÷ 21 = 26.857 — not a whole number
• 564 ÷ 22 = 25.636 — not a whole number
• 564 ÷ 23 = 24.522 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282 and 564.

Prime factorization of 564

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

The primes you divided by give 564 = 2² × 3 × 47. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 564

• 564 is a composite number.
• The sum of all its factors is 1,344; the sum of its proper factors (excluding 564) is 780, which makes it a abundant number (its proper factors add up to more than itself).
• 564 is not a perfect square, so its factors pair up evenly.
• Multiples of 564 include 1,128, 1,692, 2,256, 2,820 and so on.

Factors vs. multiples

Factors of 564 are the numbers that divide into it; multiples of 564 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.