Factors of 964

How to find the factors of 964

Test every whole number from 1 up to the square root of 964 (√964 ≈ 31.048). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 964 ÷ 1 = 964 — so 1 and 964 are factors
• 964 ÷ 2 = 482 — so 2 and 482 are factors
• 964 ÷ 3 = 321.333 — not a whole number
• 964 ÷ 4 = 241 — so 4 and 241 are factors
• 964 ÷ 5 = 192.8 — not a whole number
• 964 ÷ 6 = 160.667 — not a whole number
• 964 ÷ 7 = 137.714 — not a whole number
• 964 ÷ 8 = 120.5 — not a whole number
• 964 ÷ 9 = 107.111 — not a whole number
• 964 ÷ 10 = 96.4 — not a whole number
• 964 ÷ 11 = 87.636 — not a whole number
• 964 ÷ 12 = 80.333 — not a whole number
• 964 ÷ 13 = 74.154 — not a whole number
• 964 ÷ 14 = 68.857 — not a whole number
• 964 ÷ 15 = 64.267 — not a whole number
• 964 ÷ 16 = 60.25 — not a whole number
• 964 ÷ 17 = 56.706 — not a whole number
• 964 ÷ 18 = 53.556 — not a whole number
• 964 ÷ 19 = 50.737 — not a whole number
• 964 ÷ 20 = 48.2 — not a whole number
• 964 ÷ 21 = 45.905 — not a whole number
• 964 ÷ 22 = 43.818 — not a whole number
• 964 ÷ 23 = 41.913 — not a whole number
• 964 ÷ 24 = 40.167 — not a whole number
• 964 ÷ 25 = 38.56 — not a whole number
• 964 ÷ 26 = 37.077 — not a whole number
• 964 ÷ 27 = 35.704 — not a whole number
• 964 ÷ 28 = 34.429 — not a whole number
• 964 ÷ 29 = 33.241 — not a whole number
• 964 ÷ 30 = 32.133 — not a whole number
• 964 ÷ 31 = 31.097 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 241, 482 and 964.

Prime factorization of 964

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

The primes you divided by give 964 = 2² × 241. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 964

• 964 is a composite number.
• The sum of all its factors is 1,694; the sum of its proper factors (excluding 964) is 730, which makes it a deficient number (its proper factors add up to less than itself).
• 964 is not a perfect square, so its factors pair up evenly.
• Multiples of 964 include 1,928, 2,892, 3,856, 4,820 and so on.

Factors vs. multiples

Factors of 964 are the numbers that divide into it; multiples of 964 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.