Factors of 380

How to find the factors of 380

Test every whole number from 1 up to the square root of 380 (√380 ≈ 19.494). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 380 ÷ 1 = 380 — so 1 and 380 are factors
• 380 ÷ 2 = 190 — so 2 and 190 are factors
• 380 ÷ 3 = 126.667 — not a whole number
• 380 ÷ 4 = 95 — so 4 and 95 are factors
• 380 ÷ 5 = 76 — so 5 and 76 are factors
• 380 ÷ 6 = 63.333 — not a whole number
• 380 ÷ 7 = 54.286 — not a whole number
• 380 ÷ 8 = 47.5 — not a whole number
• 380 ÷ 9 = 42.222 — not a whole number
• 380 ÷ 10 = 38 — so 10 and 38 are factors
• 380 ÷ 11 = 34.545 — not a whole number
• 380 ÷ 12 = 31.667 — not a whole number
• 380 ÷ 13 = 29.231 — not a whole number
• 380 ÷ 14 = 27.143 — not a whole number
• 380 ÷ 15 = 25.333 — not a whole number
• 380 ÷ 16 = 23.75 — not a whole number
• 380 ÷ 17 = 22.353 — not a whole number
• 380 ÷ 18 = 21.111 — not a whole number
• 380 ÷ 19 = 20 — so 19 and 20 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190 and 380.

Prime factorization of 380

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

The primes you divided by give 380 = 2² × 5 × 19. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 380

• 380 is a composite number.
• The sum of all its factors is 840; the sum of its proper factors (excluding 380) is 460, which makes it a abundant number (its proper factors add up to more than itself).
• 380 is not a perfect square, so its factors pair up evenly.
• Multiples of 380 include 760, 1,140, 1,520, 1,900 and so on.

Factors vs. multiples

Factors of 380 are the numbers that divide into it; multiples of 380 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.