Factors of 331

How to find the factors of 331

Test every whole number from 1 up to the square root of 331 (√331 ≈ 18.193). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 331 ÷ 1 = 331 — so 1 and 331 are factors
• 331 ÷ 2 = 165.5 — not a whole number
• 331 ÷ 3 = 110.333 — not a whole number
• 331 ÷ 4 = 82.75 — not a whole number
• 331 ÷ 5 = 66.2 — not a whole number
• 331 ÷ 6 = 55.167 — not a whole number
• 331 ÷ 7 = 47.286 — not a whole number
• 331 ÷ 8 = 41.375 — not a whole number
• 331 ÷ 9 = 36.778 — not a whole number
• 331 ÷ 10 = 33.1 — not a whole number
• 331 ÷ 11 = 30.091 — not a whole number
• 331 ÷ 12 = 27.583 — not a whole number
• 331 ÷ 13 = 25.462 — not a whole number
• 331 ÷ 14 = 23.643 — not a whole number
• 331 ÷ 15 = 22.067 — not a whole number
• 331 ÷ 16 = 20.688 — not a whole number
• 331 ÷ 17 = 19.471 — not a whole number
• 331 ÷ 18 = 18.389 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 331.

Prime factorization of 331

331 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 331.

Properties of 331

• 331 is a prime number.
• The sum of all its factors is 332; the sum of its proper factors (excluding 331) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 331 is not a perfect square, so its factors pair up evenly.
• Multiples of 331 include 662, 993, 1,324, 1,655 and so on.

Factors vs. multiples

Factors of 331 are the numbers that divide into it; multiples of 331 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.