Factors of 801

How to find the factors of 801

Test every whole number from 1 up to the square root of 801 (√801 ≈ 28.302). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 801 ÷ 1 = 801 — so 1 and 801 are factors
• 801 ÷ 2 = 400.5 — not a whole number
• 801 ÷ 3 = 267 — so 3 and 267 are factors
• 801 ÷ 4 = 200.25 — not a whole number
• 801 ÷ 5 = 160.2 — not a whole number
• 801 ÷ 6 = 133.5 — not a whole number
• 801 ÷ 7 = 114.429 — not a whole number
• 801 ÷ 8 = 100.125 — not a whole number
• 801 ÷ 9 = 89 — so 9 and 89 are factors
• 801 ÷ 10 = 80.1 — not a whole number
• 801 ÷ 11 = 72.818 — not a whole number
• 801 ÷ 12 = 66.75 — not a whole number
• 801 ÷ 13 = 61.615 — not a whole number
• 801 ÷ 14 = 57.214 — not a whole number
• 801 ÷ 15 = 53.4 — not a whole number
• 801 ÷ 16 = 50.063 — not a whole number
• 801 ÷ 17 = 47.118 — not a whole number
• 801 ÷ 18 = 44.5 — not a whole number
• 801 ÷ 19 = 42.158 — not a whole number
• 801 ÷ 20 = 40.05 — not a whole number
• 801 ÷ 21 = 38.143 — not a whole number
• 801 ÷ 22 = 36.409 — not a whole number
• 801 ÷ 23 = 34.826 — not a whole number
• 801 ÷ 24 = 33.375 — not a whole number
• 801 ÷ 25 = 32.04 — not a whole number
• 801 ÷ 26 = 30.808 — not a whole number
• 801 ÷ 27 = 29.667 — not a whole number
• 801 ÷ 28 = 28.607 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 89, 267 and 801.

Prime factorization of 801

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

The primes you divided by give 801 = 3² × 89. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 801

• 801 is a composite number.
• The sum of all its factors is 1,170; the sum of its proper factors (excluding 801) is 369, which makes it a deficient number (its proper factors add up to less than itself).
• 801 is not a perfect square, so its factors pair up evenly.
• Multiples of 801 include 1,602, 2,403, 3,204, 4,005 and so on.

Factors vs. multiples

Factors of 801 are the numbers that divide into it; multiples of 801 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.