Factors of 888

How to find the factors of 888

Test every whole number from 1 up to the square root of 888 (√888 ≈ 29.799). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 888 ÷ 1 = 888 — so 1 and 888 are factors
• 888 ÷ 2 = 444 — so 2 and 444 are factors
• 888 ÷ 3 = 296 — so 3 and 296 are factors
• 888 ÷ 4 = 222 — so 4 and 222 are factors
• 888 ÷ 5 = 177.6 — not a whole number
• 888 ÷ 6 = 148 — so 6 and 148 are factors
• 888 ÷ 7 = 126.857 — not a whole number
• 888 ÷ 8 = 111 — so 8 and 111 are factors
• 888 ÷ 9 = 98.667 — not a whole number
• 888 ÷ 10 = 88.8 — not a whole number
• 888 ÷ 11 = 80.727 — not a whole number
• 888 ÷ 12 = 74 — so 12 and 74 are factors
• 888 ÷ 13 = 68.308 — not a whole number
• 888 ÷ 14 = 63.429 — not a whole number
• 888 ÷ 15 = 59.2 — not a whole number
• 888 ÷ 16 = 55.5 — not a whole number
• 888 ÷ 17 = 52.235 — not a whole number
• 888 ÷ 18 = 49.333 — not a whole number
• 888 ÷ 19 = 46.737 — not a whole number
• 888 ÷ 20 = 44.4 — not a whole number
• 888 ÷ 21 = 42.286 — not a whole number
• 888 ÷ 22 = 40.364 — not a whole number
• 888 ÷ 23 = 38.609 — not a whole number
• 888 ÷ 24 = 37 — so 24 and 37 are factors
• 888 ÷ 25 = 35.52 — not a whole number
• 888 ÷ 26 = 34.154 — not a whole number
• 888 ÷ 27 = 32.889 — not a whole number
• 888 ÷ 28 = 31.714 — not a whole number
• 888 ÷ 29 = 30.621 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444 and 888.

Prime factorization of 888

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

The primes you divided by give 888 = 2³ × 3 × 37. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 888

• 888 is a composite number.
• The sum of all its factors is 2,280; the sum of its proper factors (excluding 888) is 1,392, which makes it a abundant number (its proper factors add up to more than itself).
• 888 is not a perfect square, so its factors pair up evenly.
• Multiples of 888 include 1,776, 2,664, 3,552, 4,440 and so on.

Factors vs. multiples

Factors of 888 are the numbers that divide into it; multiples of 888 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.