Factors of 789

How to find the factors of 789

Test every whole number from 1 up to the square root of 789 (√789 ≈ 28.089). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 789 ÷ 1 = 789 — so 1 and 789 are factors
• 789 ÷ 2 = 394.5 — not a whole number
• 789 ÷ 3 = 263 — so 3 and 263 are factors
• 789 ÷ 4 = 197.25 — not a whole number
• 789 ÷ 5 = 157.8 — not a whole number
• 789 ÷ 6 = 131.5 — not a whole number
• 789 ÷ 7 = 112.714 — not a whole number
• 789 ÷ 8 = 98.625 — not a whole number
• 789 ÷ 9 = 87.667 — not a whole number
• 789 ÷ 10 = 78.9 — not a whole number
• 789 ÷ 11 = 71.727 — not a whole number
• 789 ÷ 12 = 65.75 — not a whole number
• 789 ÷ 13 = 60.692 — not a whole number
• 789 ÷ 14 = 56.357 — not a whole number
• 789 ÷ 15 = 52.6 — not a whole number
• 789 ÷ 16 = 49.313 — not a whole number
• 789 ÷ 17 = 46.412 — not a whole number
• 789 ÷ 18 = 43.833 — not a whole number
• 789 ÷ 19 = 41.526 — not a whole number
• 789 ÷ 20 = 39.45 — not a whole number
• 789 ÷ 21 = 37.571 — not a whole number
• 789 ÷ 22 = 35.864 — not a whole number
• 789 ÷ 23 = 34.304 — not a whole number
• 789 ÷ 24 = 32.875 — not a whole number
• 789 ÷ 25 = 31.56 — not a whole number
• 789 ÷ 26 = 30.346 — not a whole number
• 789 ÷ 27 = 29.222 — not a whole number
• 789 ÷ 28 = 28.179 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 263 and 789.

Prime factorization of 789

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

The primes you divided by give 789 = 3 × 263. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 789

• 789 is a composite number.
• The sum of all its factors is 1,056; the sum of its proper factors (excluding 789) is 267, which makes it a deficient number (its proper factors add up to less than itself).
• 789 is not a perfect square, so its factors pair up evenly.
• Multiples of 789 include 1,578, 2,367, 3,156, 3,945 and so on.

Factors vs. multiples

Factors of 789 are the numbers that divide into it; multiples of 789 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.