Factors of 250

How to find the factors of 250

Test every whole number from 1 up to the square root of 250 (√250 ≈ 15.811). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 250 ÷ 1 = 250 — so 1 and 250 are factors
• 250 ÷ 2 = 125 — so 2 and 125 are factors
• 250 ÷ 3 = 83.333 — not a whole number
• 250 ÷ 4 = 62.5 — not a whole number
• 250 ÷ 5 = 50 — so 5 and 50 are factors
• 250 ÷ 6 = 41.667 — not a whole number
• 250 ÷ 7 = 35.714 — not a whole number
• 250 ÷ 8 = 31.25 — not a whole number
• 250 ÷ 9 = 27.778 — not a whole number
• 250 ÷ 10 = 25 — so 10 and 25 are factors
• 250 ÷ 11 = 22.727 — not a whole number
• 250 ÷ 12 = 20.833 — not a whole number
• 250 ÷ 13 = 19.231 — not a whole number
• 250 ÷ 14 = 17.857 — not a whole number
• 250 ÷ 15 = 16.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 25, 50, 125 and 250.

Prime factorization of 250

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

The primes you divided by give 250 = 2 × 5³. From the exponents you can also count the factors without listing them: (1 + 1) × (3 + 1) = 8.

Properties of 250

• 250 is a composite number.
• The sum of all its factors is 468; the sum of its proper factors (excluding 250) is 218, which makes it a deficient number (its proper factors add up to less than itself).
• 250 is not a perfect square, so its factors pair up evenly.
• Multiples of 250 include 500, 750, 1,000, 1,250 and so on.

Factors vs. multiples

Factors of 250 are the numbers that divide into it; multiples of 250 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.