Math Tutor Explains: What are the Factors of 181?

As your math tutor, I’m here to guide you through the different types of factors of 181. So, what are the factors of 181?

• Factors of 181: 1, 181

• Sum of Factors of 181: 182

• Negative Factors of 181: -1, -181

• Prime Factors of 181: 1, 181

• Prime Factorization of 181: 181

There are two ways to find the factors of 181: using factor pairs and using prime factorization.

Factor pairs of 181 are any two numbers that, when multiplied together, equal 181. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 181?” Every factor can be paired with another factor and multiplying the two will result in 181.

In this case, we can see that 181 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, 181 only has one factor pair:

(1, 181)

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

(-1, -181)

Prime factorization is when you break down the factors of 181 to just the prime factors and expressing 181 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 181 is a prime number, we can simply state the primary factorization as 181.

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 181.

181 ÷ 181 = 1

If we divide 181 by 181, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 181 is just 181.

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

Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

Factors of 9 - The factors of 9 are 1, 3, 9

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

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