Factors of 770

How to find the factors of 770

Test every whole number from 1 up to the square root of 770 (√770 ≈ 27.749). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 770 ÷ 1 = 770 — so 1 and 770 are factors
• 770 ÷ 2 = 385 — so 2 and 385 are factors
• 770 ÷ 3 = 256.667 — not a whole number
• 770 ÷ 4 = 192.5 — not a whole number
• 770 ÷ 5 = 154 — so 5 and 154 are factors
• 770 ÷ 6 = 128.333 — not a whole number
• 770 ÷ 7 = 110 — so 7 and 110 are factors
• 770 ÷ 8 = 96.25 — not a whole number
• 770 ÷ 9 = 85.556 — not a whole number
• 770 ÷ 10 = 77 — so 10 and 77 are factors
• 770 ÷ 11 = 70 — so 11 and 70 are factors
• 770 ÷ 12 = 64.167 — not a whole number
• 770 ÷ 13 = 59.231 — not a whole number
• 770 ÷ 14 = 55 — so 14 and 55 are factors
• 770 ÷ 15 = 51.333 — not a whole number
• 770 ÷ 16 = 48.125 — not a whole number
• 770 ÷ 17 = 45.294 — not a whole number
• 770 ÷ 18 = 42.778 — not a whole number
• 770 ÷ 19 = 40.526 — not a whole number
• 770 ÷ 20 = 38.5 — not a whole number
• 770 ÷ 21 = 36.667 — not a whole number
• 770 ÷ 22 = 35 — so 22 and 35 are factors
• 770 ÷ 23 = 33.478 — not a whole number
• 770 ÷ 24 = 32.083 — not a whole number
• 770 ÷ 25 = 30.8 — not a whole number
• 770 ÷ 26 = 29.615 — not a whole number
• 770 ÷ 27 = 28.519 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385 and 770.

Prime factorization of 770

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

The primes you divided by give 770 = 2 × 5 × 7 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 770

• 770 is a composite number.
• The sum of all its factors is 1,728; the sum of its proper factors (excluding 770) is 958, which makes it a abundant number (its proper factors add up to more than itself).
• 770 is not a perfect square, so its factors pair up evenly.
• Multiples of 770 include 1,540, 2,310, 3,080, 3,850 and so on.

Factors vs. multiples

Factors of 770 are the numbers that divide into it; multiples of 770 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.