Math Tutor Explains: What are the Factors of 229?

As your math tutor, I’m here to guide you through the different types of factors of 229. So, what are the factors of 229?

• Factors of 229: 1, 229

• Sum of Factors of 229: 230

• Negative Factors of 229: -1, -229

• Prime Factors of 229: 1, 229

• Prime Factorization of 229: 229

There are two ways to find the factors of 229: using factor pairs and using prime factorization.

Factor pairs of 229 are any two numbers that, when multiplied together, equal 229. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 229?” Every factor can be paired with another factor and multiplying the two will result in 229.

In this case, we can see that 229 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, 229 only has one factor pair:

(1, 229)

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

(-1, -229)

Prime factorization is when you break down the factors of 229 to just the prime factors and expressing 229 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 229 is a prime number, we can simply state the primary factorization as 229.

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 229.

229 ÷ 229 = 1

If we divide 229 by 229, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 229 is just 229.

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

Factors of 58 - The factors of 58 are 1, 2, 29, 58

Factors of 83 - The factors of 83 are 1, 83

Factors of 135 - The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135

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