Factors of 498

How to find the factors of 498

Test every whole number from 1 up to the square root of 498 (√498 ≈ 22.316). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 498 ÷ 1 = 498 — so 1 and 498 are factors
• 498 ÷ 2 = 249 — so 2 and 249 are factors
• 498 ÷ 3 = 166 — so 3 and 166 are factors
• 498 ÷ 4 = 124.5 — not a whole number
• 498 ÷ 5 = 99.6 — not a whole number
• 498 ÷ 6 = 83 — so 6 and 83 are factors
• 498 ÷ 7 = 71.143 — not a whole number
• 498 ÷ 8 = 62.25 — not a whole number
• 498 ÷ 9 = 55.333 — not a whole number
• 498 ÷ 10 = 49.8 — not a whole number
• 498 ÷ 11 = 45.273 — not a whole number
• 498 ÷ 12 = 41.5 — not a whole number
• 498 ÷ 13 = 38.308 — not a whole number
• 498 ÷ 14 = 35.571 — not a whole number
• 498 ÷ 15 = 33.2 — not a whole number
• 498 ÷ 16 = 31.125 — not a whole number
• 498 ÷ 17 = 29.294 — not a whole number
• 498 ÷ 18 = 27.667 — not a whole number
• 498 ÷ 19 = 26.211 — not a whole number
• 498 ÷ 20 = 24.9 — not a whole number
• 498 ÷ 21 = 23.714 — not a whole number
• 498 ÷ 22 = 22.636 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 83, 166, 249 and 498.

Prime factorization of 498

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

The primes you divided by give 498 = 2 × 3 × 83. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 498

• 498 is a composite number.
• The sum of all its factors is 1,008; the sum of its proper factors (excluding 498) is 510, which makes it a abundant number (its proper factors add up to more than itself).
• 498 is not a perfect square, so its factors pair up evenly.
• Multiples of 498 include 996, 1,494, 1,992, 2,490 and so on.

Factors vs. multiples

Factors of 498 are the numbers that divide into it; multiples of 498 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.