Factors of 924

How to find the factors of 924

Test every whole number from 1 up to the square root of 924 (√924 ≈ 30.397). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 924 ÷ 1 = 924 — so 1 and 924 are factors
• 924 ÷ 2 = 462 — so 2 and 462 are factors
• 924 ÷ 3 = 308 — so 3 and 308 are factors
• 924 ÷ 4 = 231 — so 4 and 231 are factors
• 924 ÷ 5 = 184.8 — not a whole number
• 924 ÷ 6 = 154 — so 6 and 154 are factors
• 924 ÷ 7 = 132 — so 7 and 132 are factors
• 924 ÷ 8 = 115.5 — not a whole number
• 924 ÷ 9 = 102.667 — not a whole number
• 924 ÷ 10 = 92.4 — not a whole number
• 924 ÷ 11 = 84 — so 11 and 84 are factors
• 924 ÷ 12 = 77 — so 12 and 77 are factors
• 924 ÷ 13 = 71.077 — not a whole number
• 924 ÷ 14 = 66 — so 14 and 66 are factors
• 924 ÷ 15 = 61.6 — not a whole number
• 924 ÷ 16 = 57.75 — not a whole number
• 924 ÷ 17 = 54.353 — not a whole number
• 924 ÷ 18 = 51.333 — not a whole number
• 924 ÷ 19 = 48.632 — not a whole number
• 924 ÷ 20 = 46.2 — not a whole number
• 924 ÷ 21 = 44 — so 21 and 44 are factors
• 924 ÷ 22 = 42 — so 22 and 42 are factors
• 924 ÷ 23 = 40.174 — not a whole number
• 924 ÷ 24 = 38.5 — not a whole number
• 924 ÷ 25 = 36.96 — not a whole number
• 924 ÷ 26 = 35.538 — not a whole number
• 924 ÷ 27 = 34.222 — not a whole number
• 924 ÷ 28 = 33 — so 28 and 33 are factors
• 924 ÷ 29 = 31.862 — not a whole number
• 924 ÷ 30 = 30.8 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462 and 924.

Prime factorization of 924

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

The primes you divided by give 924 = 2² × 3 × 7 × 11. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 24.

Properties of 924

• 924 is a composite number.
• The sum of all its factors is 2,688; the sum of its proper factors (excluding 924) is 1,764, which makes it a abundant number (its proper factors add up to more than itself).
• 924 is not a perfect square, so its factors pair up evenly.
• Multiples of 924 include 1,848, 2,772, 3,696, 4,620 and so on.

Factors vs. multiples

Factors of 924 are the numbers that divide into it; multiples of 924 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.