Factors of 996

How to find the factors of 996

Test every whole number from 1 up to the square root of 996 (√996 ≈ 31.559). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 996 ÷ 1 = 996 — so 1 and 996 are factors
• 996 ÷ 2 = 498 — so 2 and 498 are factors
• 996 ÷ 3 = 332 — so 3 and 332 are factors
• 996 ÷ 4 = 249 — so 4 and 249 are factors
• 996 ÷ 5 = 199.2 — not a whole number
• 996 ÷ 6 = 166 — so 6 and 166 are factors
• 996 ÷ 7 = 142.286 — not a whole number
• 996 ÷ 8 = 124.5 — not a whole number
• 996 ÷ 9 = 110.667 — not a whole number
• 996 ÷ 10 = 99.6 — not a whole number
• 996 ÷ 11 = 90.545 — not a whole number
• 996 ÷ 12 = 83 — so 12 and 83 are factors
• 996 ÷ 13 = 76.615 — not a whole number
• 996 ÷ 14 = 71.143 — not a whole number
• 996 ÷ 15 = 66.4 — not a whole number
• 996 ÷ 16 = 62.25 — not a whole number
• 996 ÷ 17 = 58.588 — not a whole number
• 996 ÷ 18 = 55.333 — not a whole number
• 996 ÷ 19 = 52.421 — not a whole number
• 996 ÷ 20 = 49.8 — not a whole number
• 996 ÷ 21 = 47.429 — not a whole number
• 996 ÷ 22 = 45.273 — not a whole number
• 996 ÷ 23 = 43.304 — not a whole number
• 996 ÷ 24 = 41.5 — not a whole number
• 996 ÷ 25 = 39.84 — not a whole number
• 996 ÷ 26 = 38.308 — not a whole number
• 996 ÷ 27 = 36.889 — not a whole number
• 996 ÷ 28 = 35.571 — not a whole number
• 996 ÷ 29 = 34.345 — not a whole number
• 996 ÷ 30 = 33.2 — not a whole number
• 996 ÷ 31 = 32.129 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498 and 996.

Prime factorization of 996

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

The primes you divided by give 996 = 2² × 3 × 83. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 996

• 996 is a composite number.
• The sum of all its factors is 2,352; the sum of its proper factors (excluding 996) is 1,356, which makes it a abundant number (its proper factors add up to more than itself).
• 996 is not a perfect square, so its factors pair up evenly.
• Multiples of 996 include 1,992, 2,988, 3,984, 4,980 and so on.

Factors vs. multiples

Factors of 996 are the numbers that divide into it; multiples of 996 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.