Math Tutor Explains: What are the Factors of 293?

As your math tutor, I’m here to guide you through the different types of factors of 293. So, what are the factors of 293?

• Factors of 293: 1, 293

• Sum of Factors of 293: 294

• Negative Factors of 293: -1, -293

• Prime Factors of 293: 1, 293

• Prime Factorization of 293: 293

There are two ways to find the factors of 293: using factor pairs and using prime factorization.

Factor pairs of 293 are any two numbers that, when multiplied together, equal 293. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 293?” Every factor can be paired with another factor and multiplying the two will result in 293.

In this case, we can see that 293 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, 293 only has one factor pair:

(1, 293)

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

(-1, -293)

Prime factorization is when you break down the factors of 293 to just the prime factors and expressing 293 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 293 is a prime number, we can simply state the primary factorization as 293.

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 293.

293 ÷ 293 = 1

If we divide 293 by 293, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 293 is just 293.

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

Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 123 - The factors of 123 are 1, 3, 41, 123

Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100