Factors of 374

How to find the factors of 374

Test every whole number from 1 up to the square root of 374 (√374 ≈ 19.339). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 374 ÷ 1 = 374 — so 1 and 374 are factors
• 374 ÷ 2 = 187 — so 2 and 187 are factors
• 374 ÷ 3 = 124.667 — not a whole number
• 374 ÷ 4 = 93.5 — not a whole number
• 374 ÷ 5 = 74.8 — not a whole number
• 374 ÷ 6 = 62.333 — not a whole number
• 374 ÷ 7 = 53.429 — not a whole number
• 374 ÷ 8 = 46.75 — not a whole number
• 374 ÷ 9 = 41.556 — not a whole number
• 374 ÷ 10 = 37.4 — not a whole number
• 374 ÷ 11 = 34 — so 11 and 34 are factors
• 374 ÷ 12 = 31.167 — not a whole number
• 374 ÷ 13 = 28.769 — not a whole number
• 374 ÷ 14 = 26.714 — not a whole number
• 374 ÷ 15 = 24.933 — not a whole number
• 374 ÷ 16 = 23.375 — not a whole number
• 374 ÷ 17 = 22 — so 17 and 22 are factors
• 374 ÷ 18 = 20.778 — not a whole number
• 374 ÷ 19 = 19.684 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 11, 17, 22, 34, 187 and 374.

Prime factorization of 374

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

The primes you divided by give 374 = 2 × 11 × 17. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 374

• 374 is a composite number.
• The sum of all its factors is 648; the sum of its proper factors (excluding 374) is 274, which makes it a deficient number (its proper factors add up to less than itself).
• 374 is not a perfect square, so its factors pair up evenly.
• Multiples of 374 include 748, 1,122, 1,496, 1,870 and so on.

Factors vs. multiples

Factors of 374 are the numbers that divide into it; multiples of 374 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.