Factors of 832

How to find the factors of 832

Test every whole number from 1 up to the square root of 832 (√832 ≈ 28.844). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 832 ÷ 1 = 832 — so 1 and 832 are factors
• 832 ÷ 2 = 416 — so 2 and 416 are factors
• 832 ÷ 3 = 277.333 — not a whole number
• 832 ÷ 4 = 208 — so 4 and 208 are factors
• 832 ÷ 5 = 166.4 — not a whole number
• 832 ÷ 6 = 138.667 — not a whole number
• 832 ÷ 7 = 118.857 — not a whole number
• 832 ÷ 8 = 104 — so 8 and 104 are factors
• 832 ÷ 9 = 92.444 — not a whole number
• 832 ÷ 10 = 83.2 — not a whole number
• 832 ÷ 11 = 75.636 — not a whole number
• 832 ÷ 12 = 69.333 — not a whole number
• 832 ÷ 13 = 64 — so 13 and 64 are factors
• 832 ÷ 14 = 59.429 — not a whole number
• 832 ÷ 15 = 55.467 — not a whole number
• 832 ÷ 16 = 52 — so 16 and 52 are factors
• 832 ÷ 17 = 48.941 — not a whole number
• 832 ÷ 18 = 46.222 — not a whole number
• 832 ÷ 19 = 43.789 — not a whole number
• 832 ÷ 20 = 41.6 — not a whole number
• 832 ÷ 21 = 39.619 — not a whole number
• 832 ÷ 22 = 37.818 — not a whole number
• 832 ÷ 23 = 36.174 — not a whole number
• 832 ÷ 24 = 34.667 — not a whole number
• 832 ÷ 25 = 33.28 — not a whole number
• 832 ÷ 26 = 32 — so 26 and 32 are factors
• 832 ÷ 27 = 30.815 — not a whole number
• 832 ÷ 28 = 29.714 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416 and 832.

Prime factorization of 832

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

The primes you divided by give 832 = 2⁶ × 13. From the exponents you can also count the factors without listing them: (6 + 1) × (1 + 1) = 14.

Properties of 832

• 832 is a composite number.
• The sum of all its factors is 1,778; the sum of its proper factors (excluding 832) is 946, which makes it a abundant number (its proper factors add up to more than itself).
• 832 is not a perfect square, so its factors pair up evenly.
• Multiples of 832 include 1,664, 2,496, 3,328, 4,160 and so on.

Factors vs. multiples

Factors of 832 are the numbers that divide into it; multiples of 832 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.