Math Tutor Explains: What are the Factors of 269?

As your math tutor, I’m here to guide you through the different types of factors of 269. So, what are the factors of 269?

• Factors of 269: 1, 269

• Sum of Factors of 269: 270

• Negative Factors of 269: -1, -269

• Prime Factors of 269: 1, 269

• Prime Factorization of 269: 269

There are two ways to find the factors of 269: using factor pairs and using prime factorization.

Factor pairs of 269 are any two numbers that, when multiplied together, equal 269. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 269?” Every factor can be paired with another factor and multiplying the two will result in 269.

In this case, we can see that 269 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, 269 only has one factor pair:

(1, 269)

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

(-1, -269)

Prime factorization is when you break down the factors of 269 to just the prime factors and expressing 269 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 269 is a prime number, we can simply state the primary factorization as 269.

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 269.

269 ÷ 269 = 1

If we divide 269 by 269, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 269 is just 269.

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

Factors of 107 - The factors of 107 are 1, 107

Factors of 23 - The factors of 23 are 1, 23

Factors of 46 - The factors of 46 are 1, 2, 23, 46

Factors of 41 - The factors of 41 are 1, 41