Factors of 963

How to find the factors of 963

Test every whole number from 1 up to the square root of 963 (√963 ≈ 31.032). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 963 ÷ 1 = 963 — so 1 and 963 are factors
• 963 ÷ 2 = 481.5 — not a whole number
• 963 ÷ 3 = 321 — so 3 and 321 are factors
• 963 ÷ 4 = 240.75 — not a whole number
• 963 ÷ 5 = 192.6 — not a whole number
• 963 ÷ 6 = 160.5 — not a whole number
• 963 ÷ 7 = 137.571 — not a whole number
• 963 ÷ 8 = 120.375 — not a whole number
• 963 ÷ 9 = 107 — so 9 and 107 are factors
• 963 ÷ 10 = 96.3 — not a whole number
• 963 ÷ 11 = 87.545 — not a whole number
• 963 ÷ 12 = 80.25 — not a whole number
• 963 ÷ 13 = 74.077 — not a whole number
• 963 ÷ 14 = 68.786 — not a whole number
• 963 ÷ 15 = 64.2 — not a whole number
• 963 ÷ 16 = 60.188 — not a whole number
• 963 ÷ 17 = 56.647 — not a whole number
• 963 ÷ 18 = 53.5 — not a whole number
• 963 ÷ 19 = 50.684 — not a whole number
• 963 ÷ 20 = 48.15 — not a whole number
• 963 ÷ 21 = 45.857 — not a whole number
• 963 ÷ 22 = 43.773 — not a whole number
• 963 ÷ 23 = 41.87 — not a whole number
• 963 ÷ 24 = 40.125 — not a whole number
• 963 ÷ 25 = 38.52 — not a whole number
• 963 ÷ 26 = 37.038 — not a whole number
• 963 ÷ 27 = 35.667 — not a whole number
• 963 ÷ 28 = 34.393 — not a whole number
• 963 ÷ 29 = 33.207 — not a whole number
• 963 ÷ 30 = 32.1 — not a whole number
• 963 ÷ 31 = 31.065 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 107, 321 and 963.

Prime factorization of 963

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

The primes you divided by give 963 = 3² × 107. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 963

• 963 is a composite number.
• The sum of all its factors is 1,404; the sum of its proper factors (excluding 963) is 441, which makes it a deficient number (its proper factors add up to less than itself).
• 963 is not a perfect square, so its factors pair up evenly.
• Multiples of 963 include 1,926, 2,889, 3,852, 4,815 and so on.

Factors vs. multiples

Factors of 963 are the numbers that divide into it; multiples of 963 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.