Factors of 967

How to find the factors of 967

Test every whole number from 1 up to the square root of 967 (√967 ≈ 31.097). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 967 ÷ 1 = 967 — so 1 and 967 are factors
• 967 ÷ 2 = 483.5 — not a whole number
• 967 ÷ 3 = 322.333 — not a whole number
• 967 ÷ 4 = 241.75 — not a whole number
• 967 ÷ 5 = 193.4 — not a whole number
• 967 ÷ 6 = 161.167 — not a whole number
• 967 ÷ 7 = 138.143 — not a whole number
• 967 ÷ 8 = 120.875 — not a whole number
• 967 ÷ 9 = 107.444 — not a whole number
• 967 ÷ 10 = 96.7 — not a whole number
• 967 ÷ 11 = 87.909 — not a whole number
• 967 ÷ 12 = 80.583 — not a whole number
• 967 ÷ 13 = 74.385 — not a whole number
• 967 ÷ 14 = 69.071 — not a whole number
• 967 ÷ 15 = 64.467 — not a whole number
• 967 ÷ 16 = 60.438 — not a whole number
• 967 ÷ 17 = 56.882 — not a whole number
• 967 ÷ 18 = 53.722 — not a whole number
• 967 ÷ 19 = 50.895 — not a whole number
• 967 ÷ 20 = 48.35 — not a whole number
• 967 ÷ 21 = 46.048 — not a whole number
• 967 ÷ 22 = 43.955 — not a whole number
• 967 ÷ 23 = 42.043 — not a whole number
• 967 ÷ 24 = 40.292 — not a whole number
• 967 ÷ 25 = 38.68 — not a whole number
• 967 ÷ 26 = 37.192 — not a whole number
• 967 ÷ 27 = 35.815 — not a whole number
• 967 ÷ 28 = 34.536 — not a whole number
• 967 ÷ 29 = 33.345 — not a whole number
• 967 ÷ 30 = 32.233 — not a whole number
• 967 ÷ 31 = 31.194 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 967.

Prime factorization of 967

967 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 967.

Properties of 967

• 967 is a prime number.
• The sum of all its factors is 968; the sum of its proper factors (excluding 967) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 967 is not a perfect square, so its factors pair up evenly.
• Multiples of 967 include 1,934, 2,901, 3,868, 4,835 and so on.

Factors vs. multiples

Factors of 967 are the numbers that divide into it; multiples of 967 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.