Factors of 852

How to find the factors of 852

Test every whole number from 1 up to the square root of 852 (√852 ≈ 29.189). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 852 ÷ 1 = 852 — so 1 and 852 are factors
• 852 ÷ 2 = 426 — so 2 and 426 are factors
• 852 ÷ 3 = 284 — so 3 and 284 are factors
• 852 ÷ 4 = 213 — so 4 and 213 are factors
• 852 ÷ 5 = 170.4 — not a whole number
• 852 ÷ 6 = 142 — so 6 and 142 are factors
• 852 ÷ 7 = 121.714 — not a whole number
• 852 ÷ 8 = 106.5 — not a whole number
• 852 ÷ 9 = 94.667 — not a whole number
• 852 ÷ 10 = 85.2 — not a whole number
• 852 ÷ 11 = 77.455 — not a whole number
• 852 ÷ 12 = 71 — so 12 and 71 are factors
• 852 ÷ 13 = 65.538 — not a whole number
• 852 ÷ 14 = 60.857 — not a whole number
• 852 ÷ 15 = 56.8 — not a whole number
• 852 ÷ 16 = 53.25 — not a whole number
• 852 ÷ 17 = 50.118 — not a whole number
• 852 ÷ 18 = 47.333 — not a whole number
• 852 ÷ 19 = 44.842 — not a whole number
• 852 ÷ 20 = 42.6 — not a whole number
• 852 ÷ 21 = 40.571 — not a whole number
• 852 ÷ 22 = 38.727 — not a whole number
• 852 ÷ 23 = 37.043 — not a whole number
• 852 ÷ 24 = 35.5 — not a whole number
• 852 ÷ 25 = 34.08 — not a whole number
• 852 ÷ 26 = 32.769 — not a whole number
• 852 ÷ 27 = 31.556 — not a whole number
• 852 ÷ 28 = 30.429 — not a whole number
• 852 ÷ 29 = 29.379 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426 and 852.

Prime factorization of 852

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

The primes you divided by give 852 = 2² × 3 × 71. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 852

• 852 is a composite number.
• The sum of all its factors is 2,016; the sum of its proper factors (excluding 852) is 1,164, which makes it a abundant number (its proper factors add up to more than itself).
• 852 is not a perfect square, so its factors pair up evenly.
• Multiples of 852 include 1,704, 2,556, 3,408, 4,260 and so on.

Factors vs. multiples

Factors of 852 are the numbers that divide into it; multiples of 852 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.