Math Tutor Explains: What are the Factors of 227?

As your math tutor, I’m here to guide you through the different types of factors of 227. So, what are the factors of 227?

• Factors of 227: 1, 227

• Sum of Factors of 227: 228

• Negative Factors of 227: -1, -227

• Prime Factors of 227: 1, 227

• Prime Factorization of 227: 227

There are two ways to find the factors of 227: using factor pairs and using prime factorization.

Factor pairs of 227 are any two numbers that, when multiplied together, equal 227. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 227?” Every factor can be paired with another factor and multiplying the two will result in 227.

In this case, we can see that 227 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, 227 only has one factor pair:

(1, 227)

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

(-1, -227)

Prime factorization is when you break down the factors of 227 to just the prime factors and expressing 227 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 227 is a prime number, we can simply state the primary factorization as 227.

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 227.

227 ÷ 227 = 1

If we divide 227 by 227, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 227 is just 227.

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

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

Factors of 147 - The factors of 147 are 1, 3, 7, 21, 49, 147

Factors of 145 - The factors of 145 are 1, 5, 29, 145

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