Math Tutor Explains: What are the Factors of 337?

As your math tutor, I’m here to guide you through the different types of factors of 337. So, what are the factors of 337?

• Factors of 337: 1, 337

• Sum of Factors of 337: 338

• Negative Factors of 337: -1, -337

• Prime Factors of 337: 1, 337

• Prime Factorization of 337: 337

There are two ways to find the factors of 337: using factor pairs and using prime factorization.

Factor pairs of 337 are any two numbers that, when multiplied together, equal 337. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 337?” Every factor can be paired with another factor and multiplying the two will result in 337.

In this case, we can see that 337 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, 337 only has one factor pair:

(1, 337)

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

(-1, -337)

Prime factorization is when you break down the factors of 337 to just the prime factors and expressing 337 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 337 is a prime number, we can simply state the primary factorization as 337.

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 337.

337 ÷ 337 = 1

If we divide 337 by 337, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 337 is just 337.

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

Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

Factors of 111 - The factors of 111 are 1, 3, 37, 111

Factors of 53 - The factors of 53 are 1, 53

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