Math Tutor Explains: What are the Factors of 233?

As your math tutor, I’m here to guide you through the different types of factors of 233. So, what are the factors of 233?

• Factors of 233: 1, 233

• Sum of Factors of 233: 234

• Negative Factors of 233: -1, -233

• Prime Factors of 233: 1, 233

• Prime Factorization of 233: 233

There are two ways to find the factors of 233: using factor pairs and using prime factorization.

Factor pairs of 233 are any two numbers that, when multiplied together, equal 233. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 233?” Every factor can be paired with another factor and multiplying the two will result in 233.

In this case, we can see that 233 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, 233 only has one factor pair:

(1, 233)

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

(-1, -233)

Prime factorization is when you break down the factors of 233 to just the prime factors and expressing 233 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 233 is a prime number, we can simply state the primary factorization as 233.

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 233.

233 ÷ 233 = 1

If we divide 233 by 233, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 233 is just 233.

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

Factors of 55 - The factors of 55 are 1, 5, 11, 55

Factors of 10 - The factors of 10 are 1, 2, 5, 10

Factors of 143 - The factors of 143 are 1, 11, 13, 143

Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42