Factors of 949

How to find the factors of 949

Test every whole number from 1 up to the square root of 949 (√949 ≈ 30.806). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 949 ÷ 1 = 949 — so 1 and 949 are factors
• 949 ÷ 2 = 474.5 — not a whole number
• 949 ÷ 3 = 316.333 — not a whole number
• 949 ÷ 4 = 237.25 — not a whole number
• 949 ÷ 5 = 189.8 — not a whole number
• 949 ÷ 6 = 158.167 — not a whole number
• 949 ÷ 7 = 135.571 — not a whole number
• 949 ÷ 8 = 118.625 — not a whole number
• 949 ÷ 9 = 105.444 — not a whole number
• 949 ÷ 10 = 94.9 — not a whole number
• 949 ÷ 11 = 86.273 — not a whole number
• 949 ÷ 12 = 79.083 — not a whole number
• 949 ÷ 13 = 73 — so 13 and 73 are factors
• 949 ÷ 14 = 67.786 — not a whole number
• 949 ÷ 15 = 63.267 — not a whole number
• 949 ÷ 16 = 59.313 — not a whole number
• 949 ÷ 17 = 55.824 — not a whole number
• 949 ÷ 18 = 52.722 — not a whole number
• 949 ÷ 19 = 49.947 — not a whole number
• 949 ÷ 20 = 47.45 — not a whole number
• 949 ÷ 21 = 45.19 — not a whole number
• 949 ÷ 22 = 43.136 — not a whole number
• 949 ÷ 23 = 41.261 — not a whole number
• 949 ÷ 24 = 39.542 — not a whole number
• 949 ÷ 25 = 37.96 — not a whole number
• 949 ÷ 26 = 36.5 — not a whole number
• 949 ÷ 27 = 35.148 — not a whole number
• 949 ÷ 28 = 33.893 — not a whole number
• 949 ÷ 29 = 32.724 — not a whole number
• 949 ÷ 30 = 31.633 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 13, 73 and 949.

Prime factorization of 949

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

The primes you divided by give 949 = 13 × 73. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 949

• 949 is a composite number.
• The sum of all its factors is 1,036; the sum of its proper factors (excluding 949) is 87, which makes it a deficient number (its proper factors add up to less than itself).
• 949 is not a perfect square, so its factors pair up evenly.
• Multiples of 949 include 1,898, 2,847, 3,796, 4,745 and so on.

Factors vs. multiples

Factors of 949 are the numbers that divide into it; multiples of 949 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.