Factors of 490

How to find the factors of 490

Test every whole number from 1 up to the square root of 490 (√490 ≈ 22.136). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 490 ÷ 1 = 490 — so 1 and 490 are factors
• 490 ÷ 2 = 245 — so 2 and 245 are factors
• 490 ÷ 3 = 163.333 — not a whole number
• 490 ÷ 4 = 122.5 — not a whole number
• 490 ÷ 5 = 98 — so 5 and 98 are factors
• 490 ÷ 6 = 81.667 — not a whole number
• 490 ÷ 7 = 70 — so 7 and 70 are factors
• 490 ÷ 8 = 61.25 — not a whole number
• 490 ÷ 9 = 54.444 — not a whole number
• 490 ÷ 10 = 49 — so 10 and 49 are factors
• 490 ÷ 11 = 44.545 — not a whole number
• 490 ÷ 12 = 40.833 — not a whole number
• 490 ÷ 13 = 37.692 — not a whole number
• 490 ÷ 14 = 35 — so 14 and 35 are factors
• 490 ÷ 15 = 32.667 — not a whole number
• 490 ÷ 16 = 30.625 — not a whole number
• 490 ÷ 17 = 28.824 — not a whole number
• 490 ÷ 18 = 27.222 — not a whole number
• 490 ÷ 19 = 25.789 — not a whole number
• 490 ÷ 20 = 24.5 — not a whole number
• 490 ÷ 21 = 23.333 — not a whole number
• 490 ÷ 22 = 22.273 — not a whole number

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

Prime factorization of 490

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

The primes you divided by give 490 = 2 × 5 × 7². From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (2 + 1) = 12.

Properties of 490

• 490 is a composite number.
• The sum of all its factors is 1,026; the sum of its proper factors (excluding 490) is 536, which makes it a abundant number (its proper factors add up to more than itself).
• 490 is not a perfect square, so its factors pair up evenly.
• Multiples of 490 include 980, 1,470, 1,960, 2,450 and so on.

Factors vs. multiples

Factors of 490 are the numbers that divide into it; multiples of 490 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.