Factors of 960

How to find the factors of 960

Test every whole number from 1 up to the square root of 960 (√960 ≈ 30.984). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 960 ÷ 1 = 960 — so 1 and 960 are factors
• 960 ÷ 2 = 480 — so 2 and 480 are factors
• 960 ÷ 3 = 320 — so 3 and 320 are factors
• 960 ÷ 4 = 240 — so 4 and 240 are factors
• 960 ÷ 5 = 192 — so 5 and 192 are factors
• 960 ÷ 6 = 160 — so 6 and 160 are factors
• 960 ÷ 7 = 137.143 — not a whole number
• 960 ÷ 8 = 120 — so 8 and 120 are factors
• 960 ÷ 9 = 106.667 — not a whole number
• 960 ÷ 10 = 96 — so 10 and 96 are factors
• 960 ÷ 11 = 87.273 — not a whole number
• 960 ÷ 12 = 80 — so 12 and 80 are factors
• 960 ÷ 13 = 73.846 — not a whole number
• 960 ÷ 14 = 68.571 — not a whole number
• 960 ÷ 15 = 64 — so 15 and 64 are factors
• 960 ÷ 16 = 60 — so 16 and 60 are factors
• 960 ÷ 17 = 56.471 — not a whole number
• 960 ÷ 18 = 53.333 — not a whole number
• 960 ÷ 19 = 50.526 — not a whole number
• 960 ÷ 20 = 48 — so 20 and 48 are factors
• 960 ÷ 21 = 45.714 — not a whole number
• 960 ÷ 22 = 43.636 — not a whole number
• 960 ÷ 23 = 41.739 — not a whole number
• 960 ÷ 24 = 40 — so 24 and 40 are factors
• 960 ÷ 25 = 38.4 — not a whole number
• 960 ÷ 26 = 36.923 — not a whole number
• 960 ÷ 27 = 35.556 — not a whole number
• 960 ÷ 28 = 34.286 — not a whole number
• 960 ÷ 29 = 33.103 — not a whole number
• 960 ÷ 30 = 32 — so 30 and 32 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480 and 960.

Prime factorization of 960

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

The primes you divided by give 960 = 2⁶ × 3 × 5. From the exponents you can also count the factors without listing them: (6 + 1) × (1 + 1) × (1 + 1) = 28.

Properties of 960

• 960 is a composite number.
• The sum of all its factors is 3,048; the sum of its proper factors (excluding 960) is 2,088, which makes it a abundant number (its proper factors add up to more than itself).
• 960 is not a perfect square, so its factors pair up evenly.
• Multiples of 960 include 1,920, 2,880, 3,840, 4,800 and so on.

Factors vs. multiples

Factors of 960 are the numbers that divide into it; multiples of 960 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.