Factors of 496

How to find the factors of 496

Test every whole number from 1 up to the square root of 496 (√496 ≈ 22.271). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 496 ÷ 1 = 496 — so 1 and 496 are factors
• 496 ÷ 2 = 248 — so 2 and 248 are factors
• 496 ÷ 3 = 165.333 — not a whole number
• 496 ÷ 4 = 124 — so 4 and 124 are factors
• 496 ÷ 5 = 99.2 — not a whole number
• 496 ÷ 6 = 82.667 — not a whole number
• 496 ÷ 7 = 70.857 — not a whole number
• 496 ÷ 8 = 62 — so 8 and 62 are factors
• 496 ÷ 9 = 55.111 — not a whole number
• 496 ÷ 10 = 49.6 — not a whole number
• 496 ÷ 11 = 45.091 — not a whole number
• 496 ÷ 12 = 41.333 — not a whole number
• 496 ÷ 13 = 38.154 — not a whole number
• 496 ÷ 14 = 35.429 — not a whole number
• 496 ÷ 15 = 33.067 — not a whole number
• 496 ÷ 16 = 31 — so 16 and 31 are factors
• 496 ÷ 17 = 29.176 — not a whole number
• 496 ÷ 18 = 27.556 — not a whole number
• 496 ÷ 19 = 26.105 — not a whole number
• 496 ÷ 20 = 24.8 — not a whole number
• 496 ÷ 21 = 23.619 — not a whole number
• 496 ÷ 22 = 22.545 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496.

Prime factorization of 496

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

The primes you divided by give 496 = 2⁴ × 31. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 496

• 496 is a composite number.
• The sum of all its factors is 992; the sum of its proper factors (excluding 496) is 496, which makes it a perfect number — a rare case where the proper factors add up exactly to the number.
• 496 is not a perfect square, so its factors pair up evenly.
• Multiples of 496 include 992, 1,488, 1,984, 2,480 and so on.

Factors vs. multiples

Factors of 496 are the numbers that divide into it; multiples of 496 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.