Factors of 310

How to find the factors of 310

Test every whole number from 1 up to the square root of 310 (√310 ≈ 17.607). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 310 ÷ 1 = 310 — so 1 and 310 are factors
• 310 ÷ 2 = 155 — so 2 and 155 are factors
• 310 ÷ 3 = 103.333 — not a whole number
• 310 ÷ 4 = 77.5 — not a whole number
• 310 ÷ 5 = 62 — so 5 and 62 are factors
• 310 ÷ 6 = 51.667 — not a whole number
• 310 ÷ 7 = 44.286 — not a whole number
• 310 ÷ 8 = 38.75 — not a whole number
• 310 ÷ 9 = 34.444 — not a whole number
• 310 ÷ 10 = 31 — so 10 and 31 are factors
• 310 ÷ 11 = 28.182 — not a whole number
• 310 ÷ 12 = 25.833 — not a whole number
• 310 ÷ 13 = 23.846 — not a whole number
• 310 ÷ 14 = 22.143 — not a whole number
• 310 ÷ 15 = 20.667 — not a whole number
• 310 ÷ 16 = 19.375 — not a whole number
• 310 ÷ 17 = 18.235 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 31, 62, 155 and 310.

Prime factorization of 310

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

The primes you divided by give 310 = 2 × 5 × 31. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 310

• 310 is a composite number.
• The sum of all its factors is 576; the sum of its proper factors (excluding 310) is 266, which makes it a deficient number (its proper factors add up to less than itself).
• 310 is not a perfect square, so its factors pair up evenly.
• Multiples of 310 include 620, 930, 1,240, 1,550 and so on.

Factors vs. multiples

Factors of 310 are the numbers that divide into it; multiples of 310 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.