Factors of 388

How to find the factors of 388

Test every whole number from 1 up to the square root of 388 (√388 ≈ 19.698). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 388 ÷ 1 = 388 — so 1 and 388 are factors
• 388 ÷ 2 = 194 — so 2 and 194 are factors
• 388 ÷ 3 = 129.333 — not a whole number
• 388 ÷ 4 = 97 — so 4 and 97 are factors
• 388 ÷ 5 = 77.6 — not a whole number
• 388 ÷ 6 = 64.667 — not a whole number
• 388 ÷ 7 = 55.429 — not a whole number
• 388 ÷ 8 = 48.5 — not a whole number
• 388 ÷ 9 = 43.111 — not a whole number
• 388 ÷ 10 = 38.8 — not a whole number
• 388 ÷ 11 = 35.273 — not a whole number
• 388 ÷ 12 = 32.333 — not a whole number
• 388 ÷ 13 = 29.846 — not a whole number
• 388 ÷ 14 = 27.714 — not a whole number
• 388 ÷ 15 = 25.867 — not a whole number
• 388 ÷ 16 = 24.25 — not a whole number
• 388 ÷ 17 = 22.824 — not a whole number
• 388 ÷ 18 = 21.556 — not a whole number
• 388 ÷ 19 = 20.421 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 97, 194 and 388.

Prime factorization of 388

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

The primes you divided by give 388 = 2² × 97. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 388

• 388 is a composite number.
• The sum of all its factors is 686; the sum of its proper factors (excluding 388) is 298, which makes it a deficient number (its proper factors add up to less than itself).
• 388 is not a perfect square, so its factors pair up evenly.
• Multiples of 388 include 776, 1,164, 1,552, 1,940 and so on.

Factors vs. multiples

Factors of 388 are the numbers that divide into it; multiples of 388 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.