Math Tutor Explains: What are the Factors of 359?

As your math tutor, I’m here to guide you through the different types of factors of 359. So, what are the factors of 359?

• Factors of 359: 1, 359

• Sum of Factors of 359: 360

• Negative Factors of 359: -1, -359

• Prime Factors of 359: 1, 359

• Prime Factorization of 359: 359

There are two ways to find the factors of 359: using factor pairs and using prime factorization.

Factor pairs of 359 are any two numbers that, when multiplied together, equal 359. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 359?” Every factor can be paired with another factor and multiplying the two will result in 359.

In this case, we can see that 359 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, 359 only has one factor pair:

(1, 359)

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

(-1, -359)

Prime factorization is when you break down the factors of 359 to just the prime factors and expressing 359 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 359 is a prime number, we can simply state the primary factorization as 359.

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 359.

359 ÷ 359 = 1

If we divide 359 by 359, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 359 is just 359.

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

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

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

Factors of 39 - The factors of 39 are 1, 3, 13, 39

Factors of 104 - The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104