Factors of 981

How to find the factors of 981

Test every whole number from 1 up to the square root of 981 (√981 ≈ 31.321). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 981 ÷ 1 = 981 — so 1 and 981 are factors
• 981 ÷ 2 = 490.5 — not a whole number
• 981 ÷ 3 = 327 — so 3 and 327 are factors
• 981 ÷ 4 = 245.25 — not a whole number
• 981 ÷ 5 = 196.2 — not a whole number
• 981 ÷ 6 = 163.5 — not a whole number
• 981 ÷ 7 = 140.143 — not a whole number
• 981 ÷ 8 = 122.625 — not a whole number
• 981 ÷ 9 = 109 — so 9 and 109 are factors
• 981 ÷ 10 = 98.1 — not a whole number
• 981 ÷ 11 = 89.182 — not a whole number
• 981 ÷ 12 = 81.75 — not a whole number
• 981 ÷ 13 = 75.462 — not a whole number
• 981 ÷ 14 = 70.071 — not a whole number
• 981 ÷ 15 = 65.4 — not a whole number
• 981 ÷ 16 = 61.313 — not a whole number
• 981 ÷ 17 = 57.706 — not a whole number
• 981 ÷ 18 = 54.5 — not a whole number
• 981 ÷ 19 = 51.632 — not a whole number
• 981 ÷ 20 = 49.05 — not a whole number
• 981 ÷ 21 = 46.714 — not a whole number
• 981 ÷ 22 = 44.591 — not a whole number
• 981 ÷ 23 = 42.652 — not a whole number
• 981 ÷ 24 = 40.875 — not a whole number
• 981 ÷ 25 = 39.24 — not a whole number
• 981 ÷ 26 = 37.731 — not a whole number
• 981 ÷ 27 = 36.333 — not a whole number
• 981 ÷ 28 = 35.036 — not a whole number
• 981 ÷ 29 = 33.828 — not a whole number
• 981 ÷ 30 = 32.7 — not a whole number
• 981 ÷ 31 = 31.645 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 109, 327 and 981.

Prime factorization of 981

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

The primes you divided by give 981 = 3² × 109. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 981

• 981 is a composite number.
• The sum of all its factors is 1,430; the sum of its proper factors (excluding 981) is 449, which makes it a deficient number (its proper factors add up to less than itself).
• 981 is not a perfect square, so its factors pair up evenly.
• Multiples of 981 include 1,962, 2,943, 3,924, 4,905 and so on.

Factors vs. multiples

Factors of 981 are the numbers that divide into it; multiples of 981 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.