Factors of 984

How to find the factors of 984

Test every whole number from 1 up to the square root of 984 (√984 ≈ 31.369). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 984 ÷ 1 = 984 — so 1 and 984 are factors
• 984 ÷ 2 = 492 — so 2 and 492 are factors
• 984 ÷ 3 = 328 — so 3 and 328 are factors
• 984 ÷ 4 = 246 — so 4 and 246 are factors
• 984 ÷ 5 = 196.8 — not a whole number
• 984 ÷ 6 = 164 — so 6 and 164 are factors
• 984 ÷ 7 = 140.571 — not a whole number
• 984 ÷ 8 = 123 — so 8 and 123 are factors
• 984 ÷ 9 = 109.333 — not a whole number
• 984 ÷ 10 = 98.4 — not a whole number
• 984 ÷ 11 = 89.455 — not a whole number
• 984 ÷ 12 = 82 — so 12 and 82 are factors
• 984 ÷ 13 = 75.692 — not a whole number
• 984 ÷ 14 = 70.286 — not a whole number
• 984 ÷ 15 = 65.6 — not a whole number
• 984 ÷ 16 = 61.5 — not a whole number
• 984 ÷ 17 = 57.882 — not a whole number
• 984 ÷ 18 = 54.667 — not a whole number
• 984 ÷ 19 = 51.789 — not a whole number
• 984 ÷ 20 = 49.2 — not a whole number
• 984 ÷ 21 = 46.857 — not a whole number
• 984 ÷ 22 = 44.727 — not a whole number
• 984 ÷ 23 = 42.783 — not a whole number
• 984 ÷ 24 = 41 — so 24 and 41 are factors
• 984 ÷ 25 = 39.36 — not a whole number
• 984 ÷ 26 = 37.846 — not a whole number
• 984 ÷ 27 = 36.444 — not a whole number
• 984 ÷ 28 = 35.143 — not a whole number
• 984 ÷ 29 = 33.931 — not a whole number
• 984 ÷ 30 = 32.8 — not a whole number
• 984 ÷ 31 = 31.742 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492 and 984.

Prime factorization of 984

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

The primes you divided by give 984 = 2³ × 3 × 41. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 984

• 984 is a composite number.
• The sum of all its factors is 2,520; the sum of its proper factors (excluding 984) is 1,536, which makes it a abundant number (its proper factors add up to more than itself).
• 984 is not a perfect square, so its factors pair up evenly.
• Multiples of 984 include 1,968, 2,952, 3,936, 4,920 and so on.

Factors vs. multiples

Factors of 984 are the numbers that divide into it; multiples of 984 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.