Math Tutor Explains: What are the Factors of 199?

As your math tutor, I’m here to guide you through the different types of factors of 199. So, what are the factors of 199?

• Factors of 199: 1, 199

• Sum of Factors of 199: 200

• Negative Factors of 199: -1, -199

• Prime Factors of 199: 1, 199

• Prime Factorization of 199: 199

There are two ways to find the factors of 199: using factor pairs and using prime factorization.

Factor pairs of 199 are any two numbers that, when multiplied together, equal 199. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 199?” Every factor can be paired with another factor and multiplying the two will result in 199.

In this case, we can see that 199 is a prime number. By definition, a prime number is a number that doesn’t have any other factors other than itself and 1.

So, 199 only has one factor pair:

(1, 199)

If you also consider negative factors, there is also a second factor pair:

(-1, -199)

Prime factorization is when you break down the factors of 199 to just the prime factors and expressing 199 as a product of those prime factors. Let’s go through the process and simplify it like a math tutor would!

In this case, because 199 is a prime number, we can simply state the primary factorization as 199.

For most numbers, we would take the smallest prime factor that is larger than 1 to start to break down the focus number. In this case, the smallest prime factor larger than 1 is 199.

199 ÷ 199 = 1

If we divide 199 by 199, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 199 is just 199.

Practice your factoring skills by exploring how to factor other numbers, like the ones below:

Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98

Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52

Factors of 3 - The factors of 3 are 1, 3

Factors of 103 - The factors of 103 are 1, 103