Factors of 790

How to find the factors of 790

Test every whole number from 1 up to the square root of 790 (√790 ≈ 28.107). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 790 ÷ 1 = 790 — so 1 and 790 are factors
• 790 ÷ 2 = 395 — so 2 and 395 are factors
• 790 ÷ 3 = 263.333 — not a whole number
• 790 ÷ 4 = 197.5 — not a whole number
• 790 ÷ 5 = 158 — so 5 and 158 are factors
• 790 ÷ 6 = 131.667 — not a whole number
• 790 ÷ 7 = 112.857 — not a whole number
• 790 ÷ 8 = 98.75 — not a whole number
• 790 ÷ 9 = 87.778 — not a whole number
• 790 ÷ 10 = 79 — so 10 and 79 are factors
• 790 ÷ 11 = 71.818 — not a whole number
• 790 ÷ 12 = 65.833 — not a whole number
• 790 ÷ 13 = 60.769 — not a whole number
• 790 ÷ 14 = 56.429 — not a whole number
• 790 ÷ 15 = 52.667 — not a whole number
• 790 ÷ 16 = 49.375 — not a whole number
• 790 ÷ 17 = 46.471 — not a whole number
• 790 ÷ 18 = 43.889 — not a whole number
• 790 ÷ 19 = 41.579 — not a whole number
• 790 ÷ 20 = 39.5 — not a whole number
• 790 ÷ 21 = 37.619 — not a whole number
• 790 ÷ 22 = 35.909 — not a whole number
• 790 ÷ 23 = 34.348 — not a whole number
• 790 ÷ 24 = 32.917 — not a whole number
• 790 ÷ 25 = 31.6 — not a whole number
• 790 ÷ 26 = 30.385 — not a whole number
• 790 ÷ 27 = 29.259 — not a whole number
• 790 ÷ 28 = 28.214 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 79, 158, 395 and 790.

Prime factorization of 790

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

The primes you divided by give 790 = 2 × 5 × 79. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 790

• 790 is a composite number.
• The sum of all its factors is 1,440; the sum of its proper factors (excluding 790) is 650, which makes it a deficient number (its proper factors add up to less than itself).
• 790 is not a perfect square, so its factors pair up evenly.
• Multiples of 790 include 1,580, 2,370, 3,160, 3,950 and so on.

Factors vs. multiples

Factors of 790 are the numbers that divide into it; multiples of 790 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.