Factors of 959

How to find the factors of 959

Test every whole number from 1 up to the square root of 959 (√959 ≈ 30.968). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 959 ÷ 1 = 959 — so 1 and 959 are factors
• 959 ÷ 2 = 479.5 — not a whole number
• 959 ÷ 3 = 319.667 — not a whole number
• 959 ÷ 4 = 239.75 — not a whole number
• 959 ÷ 5 = 191.8 — not a whole number
• 959 ÷ 6 = 159.833 — not a whole number
• 959 ÷ 7 = 137 — so 7 and 137 are factors
• 959 ÷ 8 = 119.875 — not a whole number
• 959 ÷ 9 = 106.556 — not a whole number
• 959 ÷ 10 = 95.9 — not a whole number
• 959 ÷ 11 = 87.182 — not a whole number
• 959 ÷ 12 = 79.917 — not a whole number
• 959 ÷ 13 = 73.769 — not a whole number
• 959 ÷ 14 = 68.5 — not a whole number
• 959 ÷ 15 = 63.933 — not a whole number
• 959 ÷ 16 = 59.938 — not a whole number
• 959 ÷ 17 = 56.412 — not a whole number
• 959 ÷ 18 = 53.278 — not a whole number
• 959 ÷ 19 = 50.474 — not a whole number
• 959 ÷ 20 = 47.95 — not a whole number
• 959 ÷ 21 = 45.667 — not a whole number
• 959 ÷ 22 = 43.591 — not a whole number
• 959 ÷ 23 = 41.696 — not a whole number
• 959 ÷ 24 = 39.958 — not a whole number
• 959 ÷ 25 = 38.36 — not a whole number
• 959 ÷ 26 = 36.885 — not a whole number
• 959 ÷ 27 = 35.519 — not a whole number
• 959 ÷ 28 = 34.25 — not a whole number
• 959 ÷ 29 = 33.069 — not a whole number
• 959 ÷ 30 = 31.967 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 7, 137 and 959.

Prime factorization of 959

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

The primes you divided by give 959 = 7 × 137. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 959

• 959 is a composite number.
• The sum of all its factors is 1,104; the sum of its proper factors (excluding 959) is 145, which makes it a deficient number (its proper factors add up to less than itself).
• 959 is not a perfect square, so its factors pair up evenly.
• Multiples of 959 include 1,918, 2,877, 3,836, 4,795 and so on.

Factors vs. multiples

Factors of 959 are the numbers that divide into it; multiples of 959 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.