Factors of 249

How to find the factors of 249

Test every whole number from 1 up to the square root of 249 (√249 ≈ 15.780). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 249 ÷ 1 = 249 — so 1 and 249 are factors
• 249 ÷ 2 = 124.5 — not a whole number
• 249 ÷ 3 = 83 — so 3 and 83 are factors
• 249 ÷ 4 = 62.25 — not a whole number
• 249 ÷ 5 = 49.8 — not a whole number
• 249 ÷ 6 = 41.5 — not a whole number
• 249 ÷ 7 = 35.571 — not a whole number
• 249 ÷ 8 = 31.125 — not a whole number
• 249 ÷ 9 = 27.667 — not a whole number
• 249 ÷ 10 = 24.9 — not a whole number
• 249 ÷ 11 = 22.636 — not a whole number
• 249 ÷ 12 = 20.75 — not a whole number
• 249 ÷ 13 = 19.154 — not a whole number
• 249 ÷ 14 = 17.786 — not a whole number
• 249 ÷ 15 = 16.6 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 83 and 249.

Prime factorization of 249

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

The primes you divided by give 249 = 3 × 83. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 249

• 249 is a composite number.
• The sum of all its factors is 336; the sum of its proper factors (excluding 249) is 87, which makes it a deficient number (its proper factors add up to less than itself).
• 249 is not a perfect square, so its factors pair up evenly.
• Multiples of 249 include 498, 747, 996, 1,245 and so on.

Factors vs. multiples

Factors of 249 are the numbers that divide into it; multiples of 249 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.