Math Tutor Explains: What are the Factors of 37?

As your math tutor, I’m here to guide you through the different types of factors of 37. So, what are the factors of 37?

• Factors of 37: 1, 37

• Sum of Factors of 37: 38

• Negative Factors of 37: -1, -37

• Prime Factors of 37: 1, 37

• Prime Factorization of 37: 37

There are two ways to find the factors of 37: using factor pairs and using prime factorization.

Factor pairs of 37 are any two numbers that, when multiplied together, equal 37. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 37?” Every factor can be paired with another factor and multiplying the two will result in 37.

In this case, we can see that 37 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, 37 only has one factor pair:

(1, 37)

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

(-1, -37)

Prime factorization is when you break down the factors of 37 to just the prime factors and expressing 37 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 37 is a prime number, we can simply state the primary factorization as 37.

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 37.

37 ÷ 37 = 1

If we divide 37 by 37, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 37 is just 37.

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

Factors of 13 - The factors of 13 are 1, 13

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

Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

Factors of 112 - The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112