Factors of 245

How to find the factors of 245

Test every whole number from 1 up to the square root of 245 (√245 ≈ 15.652). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 245 ÷ 1 = 245 — so 1 and 245 are factors
• 245 ÷ 2 = 122.5 — not a whole number
• 245 ÷ 3 = 81.667 — not a whole number
• 245 ÷ 4 = 61.25 — not a whole number
• 245 ÷ 5 = 49 — so 5 and 49 are factors
• 245 ÷ 6 = 40.833 — not a whole number
• 245 ÷ 7 = 35 — so 7 and 35 are factors
• 245 ÷ 8 = 30.625 — not a whole number
• 245 ÷ 9 = 27.222 — not a whole number
• 245 ÷ 10 = 24.5 — not a whole number
• 245 ÷ 11 = 22.273 — not a whole number
• 245 ÷ 12 = 20.417 — not a whole number
• 245 ÷ 13 = 18.846 — not a whole number
• 245 ÷ 14 = 17.5 — not a whole number
• 245 ÷ 15 = 16.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 7, 35, 49 and 245.

Prime factorization of 245

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

The primes you divided by give 245 = 5 × 7². From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) = 6.

Properties of 245

• 245 is a composite number.
• The sum of all its factors is 342; the sum of its proper factors (excluding 245) is 97, which makes it a deficient number (its proper factors add up to less than itself).
• 245 is not a perfect square, so its factors pair up evenly.
• Multiples of 245 include 490, 735, 980, 1,225 and so on.

Factors vs. multiples

Factors of 245 are the numbers that divide into it; multiples of 245 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.