Math Tutor Explains: What are the Factors of 193?

As your math tutor, I’m here to guide you through the different types of factors of 193. So, what are the factors of 193?

• Factors of 193: 1, 193

• Sum of Factors of 193: 194

• Negative Factors of 193: -1, -193

• Prime Factors of 193: 1, 193

• Prime Factorization of 193: 193

There are two ways to find the factors of 193: using factor pairs and using prime factorization.

Factor pairs of 193 are any two numbers that, when multiplied together, equal 193. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 193?” Every factor can be paired with another factor and multiplying the two will result in 193.

In this case, we can see that 193 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, 193 only has one factor pair:

(1, 193)

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

(-1, -193)

Prime factorization is when you break down the factors of 193 to just the prime factors and expressing 193 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 193 is a prime number, we can simply state the primary factorization as 193.

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 193.

193 ÷ 193 = 1

If we divide 193 by 193, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 193 is just 193.

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

Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

Factors of 139 - The factors of 139 are 1, 139

Factors of 109 - The factors of 109 are 1, 109

Factors of 106 - The factors of 106 are 1, 2, 53, 106