Factors of 711

How to find the factors of 711

Test every whole number from 1 up to the square root of 711 (√711 ≈ 26.665). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 711 ÷ 1 = 711 — so 1 and 711 are factors
• 711 ÷ 2 = 355.5 — not a whole number
• 711 ÷ 3 = 237 — so 3 and 237 are factors
• 711 ÷ 4 = 177.75 — not a whole number
• 711 ÷ 5 = 142.2 — not a whole number
• 711 ÷ 6 = 118.5 — not a whole number
• 711 ÷ 7 = 101.571 — not a whole number
• 711 ÷ 8 = 88.875 — not a whole number
• 711 ÷ 9 = 79 — so 9 and 79 are factors
• 711 ÷ 10 = 71.1 — not a whole number
• 711 ÷ 11 = 64.636 — not a whole number
• 711 ÷ 12 = 59.25 — not a whole number
• 711 ÷ 13 = 54.692 — not a whole number
• 711 ÷ 14 = 50.786 — not a whole number
• 711 ÷ 15 = 47.4 — not a whole number
• 711 ÷ 16 = 44.438 — not a whole number
• 711 ÷ 17 = 41.824 — not a whole number
• 711 ÷ 18 = 39.5 — not a whole number
• 711 ÷ 19 = 37.421 — not a whole number
• 711 ÷ 20 = 35.55 — not a whole number
• 711 ÷ 21 = 33.857 — not a whole number
• 711 ÷ 22 = 32.318 — not a whole number
• 711 ÷ 23 = 30.913 — not a whole number
• 711 ÷ 24 = 29.625 — not a whole number
• 711 ÷ 25 = 28.44 — not a whole number
• 711 ÷ 26 = 27.346 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 79, 237 and 711.

Prime factorization of 711

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

The primes you divided by give 711 = 3² × 79. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 711

• 711 is a composite number.
• The sum of all its factors is 1,040; the sum of its proper factors (excluding 711) is 329, which makes it a deficient number (its proper factors add up to less than itself).
• 711 is not a perfect square, so its factors pair up evenly.
• Multiples of 711 include 1,422, 2,133, 2,844, 3,555 and so on.

Factors vs. multiples

Factors of 711 are the numbers that divide into it; multiples of 711 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.