Factors of 188

How to find the factors of 188

Test every whole number from 1 up to the square root of 188 (√188 ≈ 13.711). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 188 ÷ 1 = 188 — so 1 and 188 are factors
• 188 ÷ 2 = 94 — so 2 and 94 are factors
• 188 ÷ 3 = 62.667 — not a whole number
• 188 ÷ 4 = 47 — so 4 and 47 are factors
• 188 ÷ 5 = 37.6 — not a whole number
• 188 ÷ 6 = 31.333 — not a whole number
• 188 ÷ 7 = 26.857 — not a whole number
• 188 ÷ 8 = 23.5 — not a whole number
• 188 ÷ 9 = 20.889 — not a whole number
• 188 ÷ 10 = 18.8 — not a whole number
• 188 ÷ 11 = 17.091 — not a whole number
• 188 ÷ 12 = 15.667 — not a whole number
• 188 ÷ 13 = 14.462 — not a whole number

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

Prime factorization of 188

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

The primes you divided by give 188 = 2² × 47. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 188

• 188 is a composite number.
• The sum of all its factors is 336; the sum of its proper factors (excluding 188) is 148, which makes it a deficient number (its proper factors add up to less than itself).
• 188 is not a perfect square, so its factors pair up evenly.
• Multiples of 188 include 376, 564, 752, 940 and so on.

Factors vs. multiples

Factors of 188 are the numbers that divide into it; multiples of 188 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.