Factors of 567

How to find the factors of 567

Test every whole number from 1 up to the square root of 567 (√567 ≈ 23.812). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 567 ÷ 1 = 567 — so 1 and 567 are factors
• 567 ÷ 2 = 283.5 — not a whole number
• 567 ÷ 3 = 189 — so 3 and 189 are factors
• 567 ÷ 4 = 141.75 — not a whole number
• 567 ÷ 5 = 113.4 — not a whole number
• 567 ÷ 6 = 94.5 — not a whole number
• 567 ÷ 7 = 81 — so 7 and 81 are factors
• 567 ÷ 8 = 70.875 — not a whole number
• 567 ÷ 9 = 63 — so 9 and 63 are factors
• 567 ÷ 10 = 56.7 — not a whole number
• 567 ÷ 11 = 51.545 — not a whole number
• 567 ÷ 12 = 47.25 — not a whole number
• 567 ÷ 13 = 43.615 — not a whole number
• 567 ÷ 14 = 40.5 — not a whole number
• 567 ÷ 15 = 37.8 — not a whole number
• 567 ÷ 16 = 35.438 — not a whole number
• 567 ÷ 17 = 33.353 — not a whole number
• 567 ÷ 18 = 31.5 — not a whole number
• 567 ÷ 19 = 29.842 — not a whole number
• 567 ÷ 20 = 28.35 — not a whole number
• 567 ÷ 21 = 27 — so 21 and 27 are factors
• 567 ÷ 22 = 25.773 — not a whole number
• 567 ÷ 23 = 24.652 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 9, 21, 27, 63, 81, 189 and 567.

Prime factorization of 567

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

The primes you divided by give 567 = 3⁴ × 7. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 567

• 567 is a composite number.
• The sum of all its factors is 968; the sum of its proper factors (excluding 567) is 401, which makes it a deficient number (its proper factors add up to less than itself).
• 567 is not a perfect square, so its factors pair up evenly.
• Multiples of 567 include 1,134, 1,701, 2,268, 2,835 and so on.

Factors vs. multiples

Factors of 567 are the numbers that divide into it; multiples of 567 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.