Factors of 788

How to find the factors of 788

Test every whole number from 1 up to the square root of 788 (√788 ≈ 28.071). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 788 ÷ 1 = 788 — so 1 and 788 are factors
• 788 ÷ 2 = 394 — so 2 and 394 are factors
• 788 ÷ 3 = 262.667 — not a whole number
• 788 ÷ 4 = 197 — so 4 and 197 are factors
• 788 ÷ 5 = 157.6 — not a whole number
• 788 ÷ 6 = 131.333 — not a whole number
• 788 ÷ 7 = 112.571 — not a whole number
• 788 ÷ 8 = 98.5 — not a whole number
• 788 ÷ 9 = 87.556 — not a whole number
• 788 ÷ 10 = 78.8 — not a whole number
• 788 ÷ 11 = 71.636 — not a whole number
• 788 ÷ 12 = 65.667 — not a whole number
• 788 ÷ 13 = 60.615 — not a whole number
• 788 ÷ 14 = 56.286 — not a whole number
• 788 ÷ 15 = 52.533 — not a whole number
• 788 ÷ 16 = 49.25 — not a whole number
• 788 ÷ 17 = 46.353 — not a whole number
• 788 ÷ 18 = 43.778 — not a whole number
• 788 ÷ 19 = 41.474 — not a whole number
• 788 ÷ 20 = 39.4 — not a whole number
• 788 ÷ 21 = 37.524 — not a whole number
• 788 ÷ 22 = 35.818 — not a whole number
• 788 ÷ 23 = 34.261 — not a whole number
• 788 ÷ 24 = 32.833 — not a whole number
• 788 ÷ 25 = 31.52 — not a whole number
• 788 ÷ 26 = 30.308 — not a whole number
• 788 ÷ 27 = 29.185 — not a whole number
• 788 ÷ 28 = 28.143 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 197, 394 and 788.

Prime factorization of 788

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

The primes you divided by give 788 = 2² × 197. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 788

• 788 is a composite number.
• The sum of all its factors is 1,386; the sum of its proper factors (excluding 788) is 598, which makes it a deficient number (its proper factors add up to less than itself).
• 788 is not a perfect square, so its factors pair up evenly.
• Multiples of 788 include 1,576, 2,364, 3,152, 3,940 and so on.

Factors vs. multiples

Factors of 788 are the numbers that divide into it; multiples of 788 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.