Factors of 680

How to find the factors of 680

Test every whole number from 1 up to the square root of 680 (√680 ≈ 26.077). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 680 ÷ 1 = 680 — so 1 and 680 are factors
• 680 ÷ 2 = 340 — so 2 and 340 are factors
• 680 ÷ 3 = 226.667 — not a whole number
• 680 ÷ 4 = 170 — so 4 and 170 are factors
• 680 ÷ 5 = 136 — so 5 and 136 are factors
• 680 ÷ 6 = 113.333 — not a whole number
• 680 ÷ 7 = 97.143 — not a whole number
• 680 ÷ 8 = 85 — so 8 and 85 are factors
• 680 ÷ 9 = 75.556 — not a whole number
• 680 ÷ 10 = 68 — so 10 and 68 are factors
• 680 ÷ 11 = 61.818 — not a whole number
• 680 ÷ 12 = 56.667 — not a whole number
• 680 ÷ 13 = 52.308 — not a whole number
• 680 ÷ 14 = 48.571 — not a whole number
• 680 ÷ 15 = 45.333 — not a whole number
• 680 ÷ 16 = 42.5 — not a whole number
• 680 ÷ 17 = 40 — so 17 and 40 are factors
• 680 ÷ 18 = 37.778 — not a whole number
• 680 ÷ 19 = 35.789 — not a whole number
• 680 ÷ 20 = 34 — so 20 and 34 are factors
• 680 ÷ 21 = 32.381 — not a whole number
• 680 ÷ 22 = 30.909 — not a whole number
• 680 ÷ 23 = 29.565 — not a whole number
• 680 ÷ 24 = 28.333 — not a whole number
• 680 ÷ 25 = 27.2 — not a whole number
• 680 ÷ 26 = 26.154 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340 and 680.

Prime factorization of 680

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

The primes you divided by give 680 = 2³ × 5 × 17. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 680

• 680 is a composite number.
• The sum of all its factors is 1,620; the sum of its proper factors (excluding 680) is 940, which makes it a abundant number (its proper factors add up to more than itself).
• 680 is not a perfect square, so its factors pair up evenly.
• Multiples of 680 include 1,360, 2,040, 2,720, 3,400 and so on.

Factors vs. multiples

Factors of 680 are the numbers that divide into it; multiples of 680 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.