Factors of 780

How to find the factors of 780

Test every whole number from 1 up to the square root of 780 (√780 ≈ 27.928). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 780 ÷ 1 = 780 — so 1 and 780 are factors
• 780 ÷ 2 = 390 — so 2 and 390 are factors
• 780 ÷ 3 = 260 — so 3 and 260 are factors
• 780 ÷ 4 = 195 — so 4 and 195 are factors
• 780 ÷ 5 = 156 — so 5 and 156 are factors
• 780 ÷ 6 = 130 — so 6 and 130 are factors
• 780 ÷ 7 = 111.429 — not a whole number
• 780 ÷ 8 = 97.5 — not a whole number
• 780 ÷ 9 = 86.667 — not a whole number
• 780 ÷ 10 = 78 — so 10 and 78 are factors
• 780 ÷ 11 = 70.909 — not a whole number
• 780 ÷ 12 = 65 — so 12 and 65 are factors
• 780 ÷ 13 = 60 — so 13 and 60 are factors
• 780 ÷ 14 = 55.714 — not a whole number
• 780 ÷ 15 = 52 — so 15 and 52 are factors
• 780 ÷ 16 = 48.75 — not a whole number
• 780 ÷ 17 = 45.882 — not a whole number
• 780 ÷ 18 = 43.333 — not a whole number
• 780 ÷ 19 = 41.053 — not a whole number
• 780 ÷ 20 = 39 — so 20 and 39 are factors
• 780 ÷ 21 = 37.143 — not a whole number
• 780 ÷ 22 = 35.455 — not a whole number
• 780 ÷ 23 = 33.913 — not a whole number
• 780 ÷ 24 = 32.5 — not a whole number
• 780 ÷ 25 = 31.2 — not a whole number
• 780 ÷ 26 = 30 — so 26 and 30 are factors
• 780 ÷ 27 = 28.889 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780.

Prime factorization of 780

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

The primes you divided by give 780 = 2² × 3 × 5 × 13. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 24.

Properties of 780

• 780 is a composite number.
• The sum of all its factors is 2,352; the sum of its proper factors (excluding 780) is 1,572, which makes it a abundant number (its proper factors add up to more than itself).
• 780 is not a perfect square, so its factors pair up evenly.
• Multiples of 780 include 1,560, 2,340, 3,120, 3,900 and so on.

Factors vs. multiples

Factors of 780 are the numbers that divide into it; multiples of 780 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.