Math Tutor Explains: What are the Factors of 223?

As your math tutor, I’m here to guide you through the different types of factors of 223. So, what are the factors of 223?

• Factors of 223: 1, 223

• Sum of Factors of 223: 224

• Negative Factors of 223: -1, -223

• Prime Factors of 223: 1, 223

• Prime Factorization of 223: 223

There are two ways to find the factors of 223: using factor pairs and using prime factorization.

Factor pairs of 223 are any two numbers that, when multiplied together, equal 223. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 223?” Every factor can be paired with another factor and multiplying the two will result in 223.

In this case, we can see that 223 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, 223 only has one factor pair:

(1, 223)

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

(-1, -223)

Prime factorization is when you break down the factors of 223 to just the prime factors and expressing 223 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 223 is a prime number, we can simply state the primary factorization as 223.

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 223.

223 ÷ 223 = 1

If we divide 223 by 223, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 223 is just 223.

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 32 - The factors of 32 are 1, 2, 4, 8, 16, 32

Factors of 88 - The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

Factors of 134 - The factors of 134 are 1, 2, 67, 134