Factors of 376

How to find the factors of 376

Test every whole number from 1 up to the square root of 376 (√376 ≈ 19.391). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 376 ÷ 1 = 376 — so 1 and 376 are factors
• 376 ÷ 2 = 188 — so 2 and 188 are factors
• 376 ÷ 3 = 125.333 — not a whole number
• 376 ÷ 4 = 94 — so 4 and 94 are factors
• 376 ÷ 5 = 75.2 — not a whole number
• 376 ÷ 6 = 62.667 — not a whole number
• 376 ÷ 7 = 53.714 — not a whole number
• 376 ÷ 8 = 47 — so 8 and 47 are factors
• 376 ÷ 9 = 41.778 — not a whole number
• 376 ÷ 10 = 37.6 — not a whole number
• 376 ÷ 11 = 34.182 — not a whole number
• 376 ÷ 12 = 31.333 — not a whole number
• 376 ÷ 13 = 28.923 — not a whole number
• 376 ÷ 14 = 26.857 — not a whole number
• 376 ÷ 15 = 25.067 — not a whole number
• 376 ÷ 16 = 23.5 — not a whole number
• 376 ÷ 17 = 22.118 — not a whole number
• 376 ÷ 18 = 20.889 — not a whole number
• 376 ÷ 19 = 19.789 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 47, 94, 188 and 376.

Prime factorization of 376

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

The primes you divided by give 376 = 2³ × 47. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 376

• 376 is a composite number.
• The sum of all its factors is 720; the sum of its proper factors (excluding 376) is 344, which makes it a deficient number (its proper factors add up to less than itself).
• 376 is not a perfect square, so its factors pair up evenly.
• Multiples of 376 include 752, 1,128, 1,504, 1,880 and so on.

Factors vs. multiples

Factors of 376 are the numbers that divide into it; multiples of 376 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.