Factors of 820

How to find the factors of 820

Test every whole number from 1 up to the square root of 820 (√820 ≈ 28.636). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 820 ÷ 1 = 820 — so 1 and 820 are factors
• 820 ÷ 2 = 410 — so 2 and 410 are factors
• 820 ÷ 3 = 273.333 — not a whole number
• 820 ÷ 4 = 205 — so 4 and 205 are factors
• 820 ÷ 5 = 164 — so 5 and 164 are factors
• 820 ÷ 6 = 136.667 — not a whole number
• 820 ÷ 7 = 117.143 — not a whole number
• 820 ÷ 8 = 102.5 — not a whole number
• 820 ÷ 9 = 91.111 — not a whole number
• 820 ÷ 10 = 82 — so 10 and 82 are factors
• 820 ÷ 11 = 74.545 — not a whole number
• 820 ÷ 12 = 68.333 — not a whole number
• 820 ÷ 13 = 63.077 — not a whole number
• 820 ÷ 14 = 58.571 — not a whole number
• 820 ÷ 15 = 54.667 — not a whole number
• 820 ÷ 16 = 51.25 — not a whole number
• 820 ÷ 17 = 48.235 — not a whole number
• 820 ÷ 18 = 45.556 — not a whole number
• 820 ÷ 19 = 43.158 — not a whole number
• 820 ÷ 20 = 41 — so 20 and 41 are factors
• 820 ÷ 21 = 39.048 — not a whole number
• 820 ÷ 22 = 37.273 — not a whole number
• 820 ÷ 23 = 35.652 — not a whole number
• 820 ÷ 24 = 34.167 — not a whole number
• 820 ÷ 25 = 32.8 — not a whole number
• 820 ÷ 26 = 31.538 — not a whole number
• 820 ÷ 27 = 30.37 — not a whole number
• 820 ÷ 28 = 29.286 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410 and 820.

Prime factorization of 820

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

The primes you divided by give 820 = 2² × 5 × 41. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 820

• 820 is a composite number.
• The sum of all its factors is 1,764; the sum of its proper factors (excluding 820) is 944, which makes it a abundant number (its proper factors add up to more than itself).
• 820 is not a perfect square, so its factors pair up evenly.
• Multiples of 820 include 1,640, 2,460, 3,280, 4,100 and so on.

Factors vs. multiples

Factors of 820 are the numbers that divide into it; multiples of 820 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.