Factors of 377

How to find the factors of 377

Test every whole number from 1 up to the square root of 377 (√377 ≈ 19.416). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 377 ÷ 1 = 377 — so 1 and 377 are factors
• 377 ÷ 2 = 188.5 — not a whole number
• 377 ÷ 3 = 125.667 — not a whole number
• 377 ÷ 4 = 94.25 — not a whole number
• 377 ÷ 5 = 75.4 — not a whole number
• 377 ÷ 6 = 62.833 — not a whole number
• 377 ÷ 7 = 53.857 — not a whole number
• 377 ÷ 8 = 47.125 — not a whole number
• 377 ÷ 9 = 41.889 — not a whole number
• 377 ÷ 10 = 37.7 — not a whole number
• 377 ÷ 11 = 34.273 — not a whole number
• 377 ÷ 12 = 31.417 — not a whole number
• 377 ÷ 13 = 29 — so 13 and 29 are factors
• 377 ÷ 14 = 26.929 — not a whole number
• 377 ÷ 15 = 25.133 — not a whole number
• 377 ÷ 16 = 23.563 — not a whole number
• 377 ÷ 17 = 22.176 — not a whole number
• 377 ÷ 18 = 20.944 — not a whole number
• 377 ÷ 19 = 19.842 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 13, 29 and 377.

Prime factorization of 377

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

The primes you divided by give 377 = 13 × 29. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 377

• 377 is a composite number.
• The sum of all its factors is 420; the sum of its proper factors (excluding 377) is 43, which makes it a deficient number (its proper factors add up to less than itself).
• 377 is not a perfect square, so its factors pair up evenly.
• Multiples of 377 include 754, 1,131, 1,508, 1,885 and so on.

Factors vs. multiples

Factors of 377 are the numbers that divide into it; multiples of 377 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.