Factors of 767

How to find the factors of 767

Test every whole number from 1 up to the square root of 767 (√767 ≈ 27.695). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 767 ÷ 1 = 767 — so 1 and 767 are factors
• 767 ÷ 2 = 383.5 — not a whole number
• 767 ÷ 3 = 255.667 — not a whole number
• 767 ÷ 4 = 191.75 — not a whole number
• 767 ÷ 5 = 153.4 — not a whole number
• 767 ÷ 6 = 127.833 — not a whole number
• 767 ÷ 7 = 109.571 — not a whole number
• 767 ÷ 8 = 95.875 — not a whole number
• 767 ÷ 9 = 85.222 — not a whole number
• 767 ÷ 10 = 76.7 — not a whole number
• 767 ÷ 11 = 69.727 — not a whole number
• 767 ÷ 12 = 63.917 — not a whole number
• 767 ÷ 13 = 59 — so 13 and 59 are factors
• 767 ÷ 14 = 54.786 — not a whole number
• 767 ÷ 15 = 51.133 — not a whole number
• 767 ÷ 16 = 47.938 — not a whole number
• 767 ÷ 17 = 45.118 — not a whole number
• 767 ÷ 18 = 42.611 — not a whole number
• 767 ÷ 19 = 40.368 — not a whole number
• 767 ÷ 20 = 38.35 — not a whole number
• 767 ÷ 21 = 36.524 — not a whole number
• 767 ÷ 22 = 34.864 — not a whole number
• 767 ÷ 23 = 33.348 — not a whole number
• 767 ÷ 24 = 31.958 — not a whole number
• 767 ÷ 25 = 30.68 — not a whole number
• 767 ÷ 26 = 29.5 — not a whole number
• 767 ÷ 27 = 28.407 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 13, 59 and 767.

Prime factorization of 767

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

The primes you divided by give 767 = 13 × 59. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 767

• 767 is a composite number.
• The sum of all its factors is 840; the sum of its proper factors (excluding 767) is 73, which makes it a deficient number (its proper factors add up to less than itself).
• 767 is not a perfect square, so its factors pair up evenly.
• Multiples of 767 include 1,534, 2,301, 3,068, 3,835 and so on.

Factors vs. multiples

Factors of 767 are the numbers that divide into it; multiples of 767 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.