Math Tutor Explains: What are the Factors of 107?

As your math tutor, I’m here to guide you through the different types of factors of 107. So, what are the factors of 107?

• Factors of 107: 1, 107

• Sum of Factors of 107: 108

• Negative Factors of 107: -1, -107

• Prime Factors of 107: 1, 107

• Prime Factorization of 107: 107

There are two ways to find the factors of 107: using factor pairs and using prime factorization.

Factor pairs of 107 are any two numbers that, when multiplied together, equal 107. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 107?” Every factor can be paired with another factor and multiplying the two will result in 107.

In this case, we can see that 107 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, 107 only has one factor pair:

(1, 107)

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

(-1, -107)

Prime factorization is when you break down the factors of 107 to just the prime factors and expressing 107 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 107 is a prime number, we can simply state the primary factorization as 107.

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 107.

107 ÷ 107 = 1

If we divide 107 by 107, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 107 is just 107.

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

Factors of 131 - The factors of 131 are 1, 131

Factors of 55 - The factors of 55 are 1, 5, 11, 55

Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 49 - The factors of 49 are 1, 7, 49