Math Tutor Explains: What are the Factors of 179?

As your math tutor, I’m here to guide you through the different types of factors of 179. So, what are the factors of 179?

• Factors of 179: 1, 179

• Sum of Factors of 179: 180

• Negative Factors of 179: -1, -179

• Prime Factors of 179: 1, 179

• Prime Factorization of 179: 179

There are two ways to find the factors of 179: using factor pairs and using prime factorization.

Factor pairs of 179 are any two numbers that, when multiplied together, equal 179. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 179?” Every factor can be paired with another factor and multiplying the two will result in 179.

In this case, we can see that 179 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, 179 only has one factor pair:

(1, 179)

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

(-1, -179)

Prime factorization is when you break down the factors of 179 to just the prime factors and expressing 179 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 179 is a prime number, we can simply state the primary factorization as 179.

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 179.

179 ÷ 179 = 1

If we divide 179 by 179, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 179 is just 179.

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

Factors of 141 - The factors of 141 are 1, 3, 47, 141

Factors of 61 - The factors of 61 are 1, 61

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

Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45