Factors of 337

How to find the factors of 337

Test every whole number from 1 up to the square root of 337 (√337 ≈ 18.358). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 337 ÷ 1 = 337 — so 1 and 337 are factors
• 337 ÷ 2 = 168.5 — not a whole number
• 337 ÷ 3 = 112.333 — not a whole number
• 337 ÷ 4 = 84.25 — not a whole number
• 337 ÷ 5 = 67.4 — not a whole number
• 337 ÷ 6 = 56.167 — not a whole number
• 337 ÷ 7 = 48.143 — not a whole number
• 337 ÷ 8 = 42.125 — not a whole number
• 337 ÷ 9 = 37.444 — not a whole number
• 337 ÷ 10 = 33.7 — not a whole number
• 337 ÷ 11 = 30.636 — not a whole number
• 337 ÷ 12 = 28.083 — not a whole number
• 337 ÷ 13 = 25.923 — not a whole number
• 337 ÷ 14 = 24.071 — not a whole number
• 337 ÷ 15 = 22.467 — not a whole number
• 337 ÷ 16 = 21.063 — not a whole number
• 337 ÷ 17 = 19.824 — not a whole number
• 337 ÷ 18 = 18.722 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 337.

Prime factorization of 337

337 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 337.

Properties of 337

• 337 is a prime number.
• The sum of all its factors is 338; the sum of its proper factors (excluding 337) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 337 is not a perfect square, so its factors pair up evenly.
• Multiples of 337 include 674, 1,011, 1,348, 1,685 and so on.

Factors vs. multiples

Factors of 337 are the numbers that divide into it; multiples of 337 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.