Factors of 484

How to find the factors of 484

Test every whole number from 1 up to the square root of 484 (√484 ≈ 22.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 484 ÷ 1 = 484 — so 1 and 484 are factors
• 484 ÷ 2 = 242 — so 2 and 242 are factors
• 484 ÷ 3 = 161.333 — not a whole number
• 484 ÷ 4 = 121 — so 4 and 121 are factors
• 484 ÷ 5 = 96.8 — not a whole number
• 484 ÷ 6 = 80.667 — not a whole number
• 484 ÷ 7 = 69.143 — not a whole number
• 484 ÷ 8 = 60.5 — not a whole number
• 484 ÷ 9 = 53.778 — not a whole number
• 484 ÷ 10 = 48.4 — not a whole number
• 484 ÷ 11 = 44 — so 11 and 44 are factors
• 484 ÷ 12 = 40.333 — not a whole number
• 484 ÷ 13 = 37.231 — not a whole number
• 484 ÷ 14 = 34.571 — not a whole number
• 484 ÷ 15 = 32.267 — not a whole number
• 484 ÷ 16 = 30.25 — not a whole number
• 484 ÷ 17 = 28.471 — not a whole number
• 484 ÷ 18 = 26.889 — not a whole number
• 484 ÷ 19 = 25.474 — not a whole number
• 484 ÷ 20 = 24.2 — not a whole number
• 484 ÷ 21 = 23.048 — not a whole number
• 484 ÷ 22 = 22 — so 22 and 22 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 11, 22, 44, 121, 242 and 484.

Prime factorization of 484

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

The primes you divided by give 484 = 2² × 11². From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) = 9.

Properties of 484

• 484 is a composite number.
• The sum of all its factors is 931; the sum of its proper factors (excluding 484) is 447, which makes it a deficient number (its proper factors add up to less than itself).
• 484 is a perfect square: 22 × 22. Perfect squares always have an odd number of factors.
• Multiples of 484 include 968, 1,452, 1,936, 2,420 and so on.

Factors vs. multiples

Factors of 484 are the numbers that divide into it; multiples of 484 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.