Factors of 492

How to find the factors of 492

Test every whole number from 1 up to the square root of 492 (√492 ≈ 22.181). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 492 ÷ 1 = 492 — so 1 and 492 are factors
• 492 ÷ 2 = 246 — so 2 and 246 are factors
• 492 ÷ 3 = 164 — so 3 and 164 are factors
• 492 ÷ 4 = 123 — so 4 and 123 are factors
• 492 ÷ 5 = 98.4 — not a whole number
• 492 ÷ 6 = 82 — so 6 and 82 are factors
• 492 ÷ 7 = 70.286 — not a whole number
• 492 ÷ 8 = 61.5 — not a whole number
• 492 ÷ 9 = 54.667 — not a whole number
• 492 ÷ 10 = 49.2 — not a whole number
• 492 ÷ 11 = 44.727 — not a whole number
• 492 ÷ 12 = 41 — so 12 and 41 are factors
• 492 ÷ 13 = 37.846 — not a whole number
• 492 ÷ 14 = 35.143 — not a whole number
• 492 ÷ 15 = 32.8 — not a whole number
• 492 ÷ 16 = 30.75 — not a whole number
• 492 ÷ 17 = 28.941 — not a whole number
• 492 ÷ 18 = 27.333 — not a whole number
• 492 ÷ 19 = 25.895 — not a whole number
• 492 ÷ 20 = 24.6 — not a whole number
• 492 ÷ 21 = 23.429 — not a whole number
• 492 ÷ 22 = 22.364 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492.

Prime factorization of 492

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

The primes you divided by give 492 = 2² × 3 × 41. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 492

• 492 is a composite number.
• The sum of all its factors is 1,176; the sum of its proper factors (excluding 492) is 684, which makes it a abundant number (its proper factors add up to more than itself).
• 492 is not a perfect square, so its factors pair up evenly.
• Multiples of 492 include 984, 1,476, 1,968, 2,460 and so on.

Factors vs. multiples

Factors of 492 are the numbers that divide into it; multiples of 492 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.