Factors of 371

How to find the factors of 371

Test every whole number from 1 up to the square root of 371 (√371 ≈ 19.261). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 371 ÷ 1 = 371 — so 1 and 371 are factors
• 371 ÷ 2 = 185.5 — not a whole number
• 371 ÷ 3 = 123.667 — not a whole number
• 371 ÷ 4 = 92.75 — not a whole number
• 371 ÷ 5 = 74.2 — not a whole number
• 371 ÷ 6 = 61.833 — not a whole number
• 371 ÷ 7 = 53 — so 7 and 53 are factors
• 371 ÷ 8 = 46.375 — not a whole number
• 371 ÷ 9 = 41.222 — not a whole number
• 371 ÷ 10 = 37.1 — not a whole number
• 371 ÷ 11 = 33.727 — not a whole number
• 371 ÷ 12 = 30.917 — not a whole number
• 371 ÷ 13 = 28.538 — not a whole number
• 371 ÷ 14 = 26.5 — not a whole number
• 371 ÷ 15 = 24.733 — not a whole number
• 371 ÷ 16 = 23.188 — not a whole number
• 371 ÷ 17 = 21.824 — not a whole number
• 371 ÷ 18 = 20.611 — not a whole number
• 371 ÷ 19 = 19.526 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 7, 53 and 371.

Prime factorization of 371

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

The primes you divided by give 371 = 7 × 53. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 371

• 371 is a composite number.
• The sum of all its factors is 432; the sum of its proper factors (excluding 371) is 61, which makes it a deficient number (its proper factors add up to less than itself).
• 371 is not a perfect square, so its factors pair up evenly.
• Multiples of 371 include 742, 1,113, 1,484, 1,855 and so on.

Factors vs. multiples

Factors of 371 are the numbers that divide into it; multiples of 371 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.