Math Tutor Explains: What are the Factors of 241?

As your math tutor, I’m here to guide you through the different types of factors of 241. So, what are the factors of 241?

• Factors of 241: 1, 241

• Sum of Factors of 241: 242

• Negative Factors of 241: -1, -241

• Prime Factors of 241: 1, 241

• Prime Factorization of 241: 241

There are two ways to find the factors of 241: using factor pairs and using prime factorization.

Factor pairs of 241 are any two numbers that, when multiplied together, equal 241. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 241?” Every factor can be paired with another factor and multiplying the two will result in 241.

In this case, we can see that 241 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, 241 only has one factor pair:

(1, 241)

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

(-1, -241)

Prime factorization is when you break down the factors of 241 to just the prime factors and expressing 241 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 241 is a prime number, we can simply state the primary factorization as 241.

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 241.

241 ÷ 241 = 1

If we divide 241 by 241, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 241 is just 241.

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

Factors of 85 - The factors of 85 are 1, 5, 17, 85

Factors of 106 - The factors of 106 are 1, 2, 53, 106

Factors of 118 - The factors of 118 are 1, 2, 59, 118

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