What are the Factors of 17?

So, what are the factors of 17?

• Factors of 17: 1, 17

• Sum of Factors of 17: 18

• Negative Factors of 17: -1, -17

• Prime Factors of 17: 1, 17

• Prime Factorization of 17: 17

There are two ways to find the factors of 17: using factor pairs and using prime factorization.

Factor pairs of 17 are any two numbers that, when multiplied together, equal 17. The question to ask is “what two numbers multiplied together equal 17?” Every factor can be paired with another factor and multiplying the two will result in 17.

In this case, we can see that 17 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, 17 only has one factor pair:

(1, 17)

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

(-1, -17)

Prime factorization is when you break down the factors of 17 to just the prime factors and expressing 17 as a product of those prime factors.

In this case, because 17 is a prime number, we can simply state the primary factorization as 17.

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 17.

17 ÷ 17 = 1

If we divide 17 by 17, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 17 is just 17.

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

Factors of 117 - The factors of 117 are 1, 3, 9, 13, 39, 117

Factors of 133 - The factors of 133 are 1, 7, 19, 133

Factors of 38 - The factors of 38 are 1, 2, 19, 38

Factors of 49 - The factors of 49 are 1, 7, 49