Factors of 191

191 has 2 factors: 1 and 191. Its prime factorization is 191.

Factor pairs of 191

Factor×FactorProduct
1×191191

Negative pairs work too: (−1) × (−191) = 191.

Number of factors
2
Factor pairs
1
Sum of factors
192
Prime or composite
Prime
Even or odd
Odd
Perfect square
No
Prime factorization 191

How to find the factors of 191

Test every whole number from 1 up to the square root of 191 (√191 ≈ 13.820). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 191 ÷ 1 = 191 — so 1 and 191 are factors
  • 191 ÷ 2 = 95.5 — not a whole number
  • 191 ÷ 3 = 63.667 — not a whole number
  • 191 ÷ 4 = 47.75 — not a whole number
  • 191 ÷ 5 = 38.2 — not a whole number
  • 191 ÷ 6 = 31.833 — not a whole number
  • 191 ÷ 7 = 27.286 — not a whole number
  • 191 ÷ 8 = 23.875 — not a whole number
  • 191 ÷ 9 = 21.222 — not a whole number
  • 191 ÷ 10 = 19.1 — not a whole number
  • 191 ÷ 11 = 17.364 — not a whole number
  • 191 ÷ 12 = 15.917 — not a whole number
  • 191 ÷ 13 = 14.692 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 191.

Prime factorization of 191

191 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 191.

Properties of 191

  • 191 is a prime number.
  • The sum of all its factors is 192; the sum of its proper factors (excluding 191) is 1, which makes it a deficient number (its proper factors add up to less than itself).
  • 191 is not a perfect square, so its factors pair up evenly.
  • Multiples of 191 include 382, 573, 764, 955 and so on.

Factors vs. multiples

Factors of 191 are the numbers that divide into it; multiples of 191 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.

Frequently asked questions

What are the factors of 191?

The factors of 191 are 1 and 191. Each of these divides 191 with no remainder.

How many factors does 191 have?

191 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.

What is the prime factorization of 191?

191 = 191. 191 is prime, so it is its own prime factorization.

Is 191 a prime number?

Yes. 191 is prime because its only factors are 1 and 191.