Math Tutor Explains: What are the Factors of 587?

As your math tutor, I’m here to guide you through the different types of factors of 587. So, what are the factors of 587?

• Factors of 587: 1, 587

• Sum of Factors of 587: 588

• Negative Factors of 587: -1, -587

• Prime Factors of 587: 1, 587

• Prime Factorization of 587: 587

There are two ways to find the factors of 587: using factor pairs and using prime factorization.

Factor pairs of 587 are any two numbers that, when multiplied together, equal 587. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 587?” Every factor can be paired with another factor and multiplying the two will result in 587.

In this case, we can see that 587 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, 587 only has one factor pair:

(1, 587)

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

(-1, -587)

Prime factorization is when you break down the factors of 587 to just the prime factors and expressing 587 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 587 is a prime number, we can simply state the primary factorization as 587.

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 587.

587 ÷ 587 = 1

If we divide 587 by 587, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 587 is just 587.

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

Factors of 114 - The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114

Factors of 8 - The factors of 8 are 1, 2, 4, 8

Factors of 149 - The factors of 149 are 1, 149

Factors of 29 - The factors of 29 are 1, 29