Factor Calculator

Factors of 199

The factors of 199 are 1 and 199. Since 199 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 200, and its prime factorization is simply 199 itself.

All factors of 199

Here are all 2 factors of 199, listed from smallest to largest.

1199

Factor pairs of 199

There is only one factor pair for 199, because it is prime.

1 × 199 = 199

Prime factorization of 199

199 is a prime number, so it cannot be broken down further. Its prime factorization is simply 199.

Properties of 199

Number of factors2
Sum of factors200
Sum of proper factors1
Prime factorization199
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 199 interesting

  • 199 is a prime number, so its only factors are 1 and 199. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 199 yourself

Divide 199 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √199 ≈ 14.11, because every factor above that pairs with one below it.

199 ÷ 1 = 199 ✓

Reading both columns gives every factor: 1, 199. The factor calculator does this automatically for any number.

Numbers mathematically connected to 199.

Frequently asked questions about 199

What are the factors of 199?

The factors of 199 are 1 and 199. That is 2 factors in total, counting both 1 and 199.

Is 199 a prime number?

Yes, 199 is a prime number. It has exactly two factors: 1 and 199. No other whole number divides it evenly.

What is the prime factorization of 199?

199 is already prime, so its prime factorization is simply 199. It cannot be broken down any further.

What two numbers multiply to give 199?

There is 1 pair of whole numbers that multiply to 199: 1 × 199.

What is the sum of the factors of 199?

Adding all the factors of 199 together gives 200. Excluding 199 itself, the proper factors sum to 1.

Is 199 a perfect square?

No, 199 is not a perfect square. There is no whole number that multiplies by itself to give 199. The nearest perfect squares are 196 and 225.

What is the largest factor of 199 other than itself?

The largest factor of 199 apart from 199 itself is 1, since 199 ÷ 1 = 199.

How many factors does 199 have?

199 has 2 factors: 1 and 199.

Explore more

Try another number in the factor calculator, break 199 down further with the prime factorization calculator, or compare 199 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.