Math Tutor Explains: What are the Factors of 79?

As your math tutor, I’m here to guide you through the different types of factors of 79. So, what are the factors of 79?

• Factors of 79: 1, 79

• Sum of Factors of 79: 80

• Negative Factors of 79: -1, -79

• Prime Factors of 79: 1, 79

• Prime Factorization of 79: 79

There are two ways to find the factors of 79: using factor pairs and using prime factorization.

Factor pairs of 79 are any two numbers that, when multiplied together, equal 79. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 79?” Every factor can be paired with another factor and multiplying the two will result in 79.

In this case, we can see that 79 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, 79 only has one factor pair:

(1, 79)

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

(-1, -79)

Prime factorization is when you break down the factors of 79 to just the prime factors and expressing 79 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 79 is a prime number, we can simply state the primary factorization as 79.

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 79.

79 ÷ 79 = 1

If we divide 79 by 79, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 79 is just 79.

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

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

Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12

Factors of 133 - The factors of 133 are 1, 7, 19, 133

Factors of 125 - The factors of 125 are 1, 5, 25, 125