Math Tutor Explains: What are the Factors of 277?

As your math tutor, I’m here to guide you through the different types of factors of 277. So, what are the factors of 277?

• Factors of 277: 1, 277

• Sum of Factors of 277: 278

• Negative Factors of 277: -1, -277

• Prime Factors of 277: 1, 277

• Prime Factorization of 277: 277

There are two ways to find the factors of 277: using factor pairs and using prime factorization.

Factor pairs of 277 are any two numbers that, when multiplied together, equal 277. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 277?” Every factor can be paired with another factor and multiplying the two will result in 277.

In this case, we can see that 277 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, 277 only has one factor pair:

(1, 277)

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

(-1, -277)

Prime factorization is when you break down the factors of 277 to just the prime factors and expressing 277 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 277 is a prime number, we can simply state the primary factorization as 277.

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 277.

277 ÷ 277 = 1

If we divide 277 by 277, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 277 is just 277.

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

Factors of 34 - The factors of 34 are 1, 2, 17, 34

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

Factors of 115 - The factors of 115 are 1, 5, 23, 115

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