Factors of 864

How to find the factors of 864

Test every whole number from 1 up to the square root of 864 (√864 ≈ 29.394). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 864 ÷ 1 = 864 — so 1 and 864 are factors
• 864 ÷ 2 = 432 — so 2 and 432 are factors
• 864 ÷ 3 = 288 — so 3 and 288 are factors
• 864 ÷ 4 = 216 — so 4 and 216 are factors
• 864 ÷ 5 = 172.8 — not a whole number
• 864 ÷ 6 = 144 — so 6 and 144 are factors
• 864 ÷ 7 = 123.429 — not a whole number
• 864 ÷ 8 = 108 — so 8 and 108 are factors
• 864 ÷ 9 = 96 — so 9 and 96 are factors
• 864 ÷ 10 = 86.4 — not a whole number
• 864 ÷ 11 = 78.545 — not a whole number
• 864 ÷ 12 = 72 — so 12 and 72 are factors
• 864 ÷ 13 = 66.462 — not a whole number
• 864 ÷ 14 = 61.714 — not a whole number
• 864 ÷ 15 = 57.6 — not a whole number
• 864 ÷ 16 = 54 — so 16 and 54 are factors
• 864 ÷ 17 = 50.824 — not a whole number
• 864 ÷ 18 = 48 — so 18 and 48 are factors
• 864 ÷ 19 = 45.474 — not a whole number
• 864 ÷ 20 = 43.2 — not a whole number
• 864 ÷ 21 = 41.143 — not a whole number
• 864 ÷ 22 = 39.273 — not a whole number
• 864 ÷ 23 = 37.565 — not a whole number
• 864 ÷ 24 = 36 — so 24 and 36 are factors
• 864 ÷ 25 = 34.56 — not a whole number
• 864 ÷ 26 = 33.231 — not a whole number
• 864 ÷ 27 = 32 — so 27 and 32 are factors
• 864 ÷ 28 = 30.857 — not a whole number
• 864 ÷ 29 = 29.793 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432 and 864.

Prime factorization of 864

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

The primes you divided by give 864 = 2⁵ × 3³. From the exponents you can also count the factors without listing them: (5 + 1) × (3 + 1) = 24.

Properties of 864

• 864 is a composite number.
• The sum of all its factors is 2,520; the sum of its proper factors (excluding 864) is 1,656, which makes it a abundant number (its proper factors add up to more than itself).
• 864 is not a perfect square, so its factors pair up evenly.
• Multiples of 864 include 1,728, 2,592, 3,456, 4,320 and so on.

Factors vs. multiples

Factors of 864 are the numbers that divide into it; multiples of 864 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.