Factors of 989

How to find the factors of 989

Test every whole number from 1 up to the square root of 989 (√989 ≈ 31.448). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 989 ÷ 1 = 989 — so 1 and 989 are factors
• 989 ÷ 2 = 494.5 — not a whole number
• 989 ÷ 3 = 329.667 — not a whole number
• 989 ÷ 4 = 247.25 — not a whole number
• 989 ÷ 5 = 197.8 — not a whole number
• 989 ÷ 6 = 164.833 — not a whole number
• 989 ÷ 7 = 141.286 — not a whole number
• 989 ÷ 8 = 123.625 — not a whole number
• 989 ÷ 9 = 109.889 — not a whole number
• 989 ÷ 10 = 98.9 — not a whole number
• 989 ÷ 11 = 89.909 — not a whole number
• 989 ÷ 12 = 82.417 — not a whole number
• 989 ÷ 13 = 76.077 — not a whole number
• 989 ÷ 14 = 70.643 — not a whole number
• 989 ÷ 15 = 65.933 — not a whole number
• 989 ÷ 16 = 61.813 — not a whole number
• 989 ÷ 17 = 58.176 — not a whole number
• 989 ÷ 18 = 54.944 — not a whole number
• 989 ÷ 19 = 52.053 — not a whole number
• 989 ÷ 20 = 49.45 — not a whole number
• 989 ÷ 21 = 47.095 — not a whole number
• 989 ÷ 22 = 44.955 — not a whole number
• 989 ÷ 23 = 43 — so 23 and 43 are factors
• 989 ÷ 24 = 41.208 — not a whole number
• 989 ÷ 25 = 39.56 — not a whole number
• 989 ÷ 26 = 38.038 — not a whole number
• 989 ÷ 27 = 36.63 — not a whole number
• 989 ÷ 28 = 35.321 — not a whole number
• 989 ÷ 29 = 34.103 — not a whole number
• 989 ÷ 30 = 32.967 — not a whole number
• 989 ÷ 31 = 31.903 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 23, 43 and 989.

Prime factorization of 989

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

The primes you divided by give 989 = 23 × 43. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 989

• 989 is a composite number.
• The sum of all its factors is 1,056; the sum of its proper factors (excluding 989) is 67, which makes it a deficient number (its proper factors add up to less than itself).
• 989 is not a perfect square, so its factors pair up evenly.
• Multiples of 989 include 1,978, 2,967, 3,956, 4,945 and so on.

Factors vs. multiples

Factors of 989 are the numbers that divide into it; multiples of 989 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.