Factors of 968

How to find the factors of 968

Test every whole number from 1 up to the square root of 968 (√968 ≈ 31.113). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 968 ÷ 1 = 968 — so 1 and 968 are factors
• 968 ÷ 2 = 484 — so 2 and 484 are factors
• 968 ÷ 3 = 322.667 — not a whole number
• 968 ÷ 4 = 242 — so 4 and 242 are factors
• 968 ÷ 5 = 193.6 — not a whole number
• 968 ÷ 6 = 161.333 — not a whole number
• 968 ÷ 7 = 138.286 — not a whole number
• 968 ÷ 8 = 121 — so 8 and 121 are factors
• 968 ÷ 9 = 107.556 — not a whole number
• 968 ÷ 10 = 96.8 — not a whole number
• 968 ÷ 11 = 88 — so 11 and 88 are factors
• 968 ÷ 12 = 80.667 — not a whole number
• 968 ÷ 13 = 74.462 — not a whole number
• 968 ÷ 14 = 69.143 — not a whole number
• 968 ÷ 15 = 64.533 — not a whole number
• 968 ÷ 16 = 60.5 — not a whole number
• 968 ÷ 17 = 56.941 — not a whole number
• 968 ÷ 18 = 53.778 — not a whole number
• 968 ÷ 19 = 50.947 — not a whole number
• 968 ÷ 20 = 48.4 — not a whole number
• 968 ÷ 21 = 46.095 — not a whole number
• 968 ÷ 22 = 44 — so 22 and 44 are factors
• 968 ÷ 23 = 42.087 — not a whole number
• 968 ÷ 24 = 40.333 — not a whole number
• 968 ÷ 25 = 38.72 — not a whole number
• 968 ÷ 26 = 37.231 — not a whole number
• 968 ÷ 27 = 35.852 — not a whole number
• 968 ÷ 28 = 34.571 — not a whole number
• 968 ÷ 29 = 33.379 — not a whole number
• 968 ÷ 30 = 32.267 — not a whole number
• 968 ÷ 31 = 31.226 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484 and 968.

Prime factorization of 968

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

The primes you divided by give 968 = 2³ × 11². From the exponents you can also count the factors without listing them: (3 + 1) × (2 + 1) = 12.

Properties of 968

• 968 is a composite number.
• The sum of all its factors is 1,995; the sum of its proper factors (excluding 968) is 1,027, which makes it a abundant number (its proper factors add up to more than itself).
• 968 is not a perfect square, so its factors pair up evenly.
• Multiples of 968 include 1,936, 2,904, 3,872, 4,840 and so on.

Factors vs. multiples

Factors of 968 are the numbers that divide into it; multiples of 968 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.