Math Tutor Explains: What are the Factors of 383?

As your math tutor, I’m here to guide you through the different types of factors of 383. So, what are the factors of 383?

• Factors of 383: 1, 383

• Sum of Factors of 383: 384

• Negative Factors of 383: -1, -383

• Prime Factors of 383: 1, 383

• Prime Factorization of 383: 383

There are two ways to find the factors of 383: using factor pairs and using prime factorization.

Factor pairs of 383 are any two numbers that, when multiplied together, equal 383. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 383?” Every factor can be paired with another factor and multiplying the two will result in 383.

In this case, we can see that 383 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, 383 only has one factor pair:

(1, 383)

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

(-1, -383)

Prime factorization is when you break down the factors of 383 to just the prime factors and expressing 383 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 383 is a prime number, we can simply state the primary factorization as 383.

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 383.

383 ÷ 383 = 1

If we divide 383 by 383, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 383 is just 383.

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

Factors of 6 - The factors of 6 are 1, 2, 3, 6

Factors of 92 - The factors of 92 are 1, 2, 4, 23, 46, 92

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

Factors of 110 - The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110