Factors of 980

How to find the factors of 980

Test every whole number from 1 up to the square root of 980 (√980 ≈ 31.305). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 980 ÷ 1 = 980 — so 1 and 980 are factors
• 980 ÷ 2 = 490 — so 2 and 490 are factors
• 980 ÷ 3 = 326.667 — not a whole number
• 980 ÷ 4 = 245 — so 4 and 245 are factors
• 980 ÷ 5 = 196 — so 5 and 196 are factors
• 980 ÷ 6 = 163.333 — not a whole number
• 980 ÷ 7 = 140 — so 7 and 140 are factors
• 980 ÷ 8 = 122.5 — not a whole number
• 980 ÷ 9 = 108.889 — not a whole number
• 980 ÷ 10 = 98 — so 10 and 98 are factors
• 980 ÷ 11 = 89.091 — not a whole number
• 980 ÷ 12 = 81.667 — not a whole number
• 980 ÷ 13 = 75.385 — not a whole number
• 980 ÷ 14 = 70 — so 14 and 70 are factors
• 980 ÷ 15 = 65.333 — not a whole number
• 980 ÷ 16 = 61.25 — not a whole number
• 980 ÷ 17 = 57.647 — not a whole number
• 980 ÷ 18 = 54.444 — not a whole number
• 980 ÷ 19 = 51.579 — not a whole number
• 980 ÷ 20 = 49 — so 20 and 49 are factors
• 980 ÷ 21 = 46.667 — not a whole number
• 980 ÷ 22 = 44.545 — not a whole number
• 980 ÷ 23 = 42.609 — not a whole number
• 980 ÷ 24 = 40.833 — not a whole number
• 980 ÷ 25 = 39.2 — not a whole number
• 980 ÷ 26 = 37.692 — not a whole number
• 980 ÷ 27 = 36.296 — not a whole number
• 980 ÷ 28 = 35 — so 28 and 35 are factors
• 980 ÷ 29 = 33.793 — not a whole number
• 980 ÷ 30 = 32.667 — not a whole number
• 980 ÷ 31 = 31.613 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490 and 980.

Prime factorization of 980

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

The primes you divided by give 980 = 2² × 5 × 7². From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (2 + 1) = 18.

Properties of 980

• 980 is a composite number.
• The sum of all its factors is 2,394; the sum of its proper factors (excluding 980) is 1,414, which makes it a abundant number (its proper factors add up to more than itself).
• 980 is not a perfect square, so its factors pair up evenly.
• Multiples of 980 include 1,960, 2,940, 3,920, 4,900 and so on.

Factors vs. multiples

Factors of 980 are the numbers that divide into it; multiples of 980 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.