Factors of 882

How to find the factors of 882

Test every whole number from 1 up to the square root of 882 (√882 ≈ 29.698). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 882 ÷ 1 = 882 — so 1 and 882 are factors
• 882 ÷ 2 = 441 — so 2 and 441 are factors
• 882 ÷ 3 = 294 — so 3 and 294 are factors
• 882 ÷ 4 = 220.5 — not a whole number
• 882 ÷ 5 = 176.4 — not a whole number
• 882 ÷ 6 = 147 — so 6 and 147 are factors
• 882 ÷ 7 = 126 — so 7 and 126 are factors
• 882 ÷ 8 = 110.25 — not a whole number
• 882 ÷ 9 = 98 — so 9 and 98 are factors
• 882 ÷ 10 = 88.2 — not a whole number
• 882 ÷ 11 = 80.182 — not a whole number
• 882 ÷ 12 = 73.5 — not a whole number
• 882 ÷ 13 = 67.846 — not a whole number
• 882 ÷ 14 = 63 — so 14 and 63 are factors
• 882 ÷ 15 = 58.8 — not a whole number
• 882 ÷ 16 = 55.125 — not a whole number
• 882 ÷ 17 = 51.882 — not a whole number
• 882 ÷ 18 = 49 — so 18 and 49 are factors
• 882 ÷ 19 = 46.421 — not a whole number
• 882 ÷ 20 = 44.1 — not a whole number
• 882 ÷ 21 = 42 — so 21 and 42 are factors
• 882 ÷ 22 = 40.091 — not a whole number
• 882 ÷ 23 = 38.348 — not a whole number
• 882 ÷ 24 = 36.75 — not a whole number
• 882 ÷ 25 = 35.28 — not a whole number
• 882 ÷ 26 = 33.923 — not a whole number
• 882 ÷ 27 = 32.667 — not a whole number
• 882 ÷ 28 = 31.5 — not a whole number
• 882 ÷ 29 = 30.414 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441 and 882.

Prime factorization of 882

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

The primes you divided by give 882 = 2 × 3² × 7². From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) × (2 + 1) = 18.

Properties of 882

• 882 is a composite number.
• The sum of all its factors is 2,223; the sum of its proper factors (excluding 882) is 1,341, which makes it a abundant number (its proper factors add up to more than itself).
• 882 is not a perfect square, so its factors pair up evenly.
• Multiples of 882 include 1,764, 2,646, 3,528, 4,410 and so on.

Factors vs. multiples

Factors of 882 are the numbers that divide into it; multiples of 882 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.