Math Tutor Explains: What are the Factors of 1009?

As your math tutor, I’m here to guide you through the different types of factors of 1009. So, what are the factors of 1009?

• Factors of 1009: 1, 1009

• Sum of Factors of 1009: 1010

• Negative Factors of 1009: -1, -1009

• Prime Factors of 1009: 1, 1009

• Prime Factorization of 1009: 1009

There are two ways to find the factors of 1009: using factor pairs and using prime factorization.

Factor pairs of 1009 are any two numbers that, when multiplied together, equal 1009. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 1009?” Every factor can be paired with another factor and multiplying the two will result in 1009.

In this case, we can see that 1009 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, 1009 only has one factor pair:

(1, 1009)

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

(-1, -1009)

Prime factorization is when you break down the factors of 1009 to just the prime factors and expressing 1009 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 1009 is a prime number, we can simply state the primary factorization as 1009.

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 1009.

1009 ÷ 1009 = 1

If we divide 1009 by 1009, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 1009 is just 1009.

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

Factors of 47 - The factors of 47 are 1, 47

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

Factors of 77 - The factors of 77 are 1, 7, 11, 77

Factors of 127 - The factors of 127 are 1, 127