Math Tutor Explains: What are the Factors of 137?

As your math tutor, I’m here to guide you through the different types of factors of 137. So, what are the factors of 137?

• Factors of 137: 1, 137

• Sum of Factors of 137: 138

• Negative Factors of 137: -1, -137

• Prime Factors of 137: 1, 137

• Prime Factorization of 137: 137

There are two ways to find the factors of 137: using factor pairs and using prime factorization.

Factor pairs of 137 are any two numbers that, when multiplied together, equal 137. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 137?” Every factor can be paired with another factor and multiplying the two will result in 137.

In this case, we can see that 137 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, 137 only has one factor pair:

(1, 137)

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

(-1, -137)

Prime factorization is when you break down the factors of 137 to just the prime factors and expressing 137 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 137 is a prime number, we can simply state the primary factorization as 137.

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 137.

137 ÷ 137 = 1

If we divide 137 by 137, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 137 is just 137.

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

Factors of 27 - The factors of 27 are 1, 3, 9, 27

Factors of 118 - The factors of 118 are 1, 2, 59, 118

Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

Factors of 85 - The factors of 85 are 1, 5, 17, 85