Factors of 804

How to find the factors of 804

Test every whole number from 1 up to the square root of 804 (√804 ≈ 28.355). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 804 ÷ 1 = 804 — so 1 and 804 are factors
• 804 ÷ 2 = 402 — so 2 and 402 are factors
• 804 ÷ 3 = 268 — so 3 and 268 are factors
• 804 ÷ 4 = 201 — so 4 and 201 are factors
• 804 ÷ 5 = 160.8 — not a whole number
• 804 ÷ 6 = 134 — so 6 and 134 are factors
• 804 ÷ 7 = 114.857 — not a whole number
• 804 ÷ 8 = 100.5 — not a whole number
• 804 ÷ 9 = 89.333 — not a whole number
• 804 ÷ 10 = 80.4 — not a whole number
• 804 ÷ 11 = 73.091 — not a whole number
• 804 ÷ 12 = 67 — so 12 and 67 are factors
• 804 ÷ 13 = 61.846 — not a whole number
• 804 ÷ 14 = 57.429 — not a whole number
• 804 ÷ 15 = 53.6 — not a whole number
• 804 ÷ 16 = 50.25 — not a whole number
• 804 ÷ 17 = 47.294 — not a whole number
• 804 ÷ 18 = 44.667 — not a whole number
• 804 ÷ 19 = 42.316 — not a whole number
• 804 ÷ 20 = 40.2 — not a whole number
• 804 ÷ 21 = 38.286 — not a whole number
• 804 ÷ 22 = 36.545 — not a whole number
• 804 ÷ 23 = 34.957 — not a whole number
• 804 ÷ 24 = 33.5 — not a whole number
• 804 ÷ 25 = 32.16 — not a whole number
• 804 ÷ 26 = 30.923 — not a whole number
• 804 ÷ 27 = 29.778 — not a whole number
• 804 ÷ 28 = 28.714 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402 and 804.

Prime factorization of 804

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

The primes you divided by give 804 = 2² × 3 × 67. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 804

• 804 is a composite number.
• The sum of all its factors is 1,904; the sum of its proper factors (excluding 804) is 1,100, which makes it a abundant number (its proper factors add up to more than itself).
• 804 is not a perfect square, so its factors pair up evenly.
• Multiples of 804 include 1,608, 2,412, 3,216, 4,020 and so on.

Factors vs. multiples

Factors of 804 are the numbers that divide into it; multiples of 804 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.