Factors of 187

How to find the factors of 187

Test every whole number from 1 up to the square root of 187 (√187 ≈ 13.675). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 187 ÷ 1 = 187 — so 1 and 187 are factors
• 187 ÷ 2 = 93.5 — not a whole number
• 187 ÷ 3 = 62.333 — not a whole number
• 187 ÷ 4 = 46.75 — not a whole number
• 187 ÷ 5 = 37.4 — not a whole number
• 187 ÷ 6 = 31.167 — not a whole number
• 187 ÷ 7 = 26.714 — not a whole number
• 187 ÷ 8 = 23.375 — not a whole number
• 187 ÷ 9 = 20.778 — not a whole number
• 187 ÷ 10 = 18.7 — not a whole number
• 187 ÷ 11 = 17 — so 11 and 17 are factors
• 187 ÷ 12 = 15.583 — not a whole number
• 187 ÷ 13 = 14.385 — not a whole number

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

Prime factorization of 187

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

The primes you divided by give 187 = 11 × 17. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 187

• 187 is a composite number.
• The sum of all its factors is 216; the sum of its proper factors (excluding 187) is 29, which makes it a deficient number (its proper factors add up to less than itself).
• 187 is not a perfect square, so its factors pair up evenly.
• Multiples of 187 include 374, 561, 748, 935 and so on.

Factors vs. multiples

Factors of 187 are the numbers that divide into it; multiples of 187 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.