Math Tutor Explains: What are the Factors of 13?

As your math tutor, I’m here to guide you through the different types of factors of 13. So, what are the factors of 13?

• Factors of 13: 1, 13

• Sum of Factors of 13: 14

• Negative Factors of 13: -1, -13

• Prime Factors of 13: 1, 13

• Prime Factorization of 13: 13

There are two ways to find the factors of 13: using factor pairs and using prime factorization.

Factor pairs of 13 are any two numbers that, when multiplied together, equal 13. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 13?” Every factor can be paired with another factor and multiplying the two will result in 13.

In this case, we can see that 13 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, 13 only has one factor pair:

(1, 13)

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

(-1, -13)

Prime factorization is when you break down the factors of 13 to just the prime factors and expressing 13 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 13 is a prime number, we can simply state the primary factorization as 13.

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 13.

13 ÷ 13 = 1

If we divide 13 by 13, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 13 is just 13.

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

Factors of 92 - The factors of 92 are 1, 2, 4, 23, 46, 92

Factors of 120 - The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Factors of 134 - The factors of 134 are 1, 2, 67, 134

Factors of 121 - The factors of 121 are 1, 11, 121