What are the Factors of 11?

So, what are the factors of 11?

• Factors of 11: 1, 11

• Sum of Factors of 11: 12

• Negative Factors of 11: -1, -11

• Prime Factors of 11: 1, 11

• Prime Factorization of 11: 11

There are two ways to find the factors of 11: using factor pairs and using prime factorization.

Factor pairs of 11 are any two numbers that, when multiplied together, equal 11. The question to ask is “what two numbers multiplied together equal 11?” Every factor can be paired with another factor and multiplying the two will result in 11.

In this case, we can see that 11 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, 11 only has one factor pair:

(1, 11)

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

(-1, -11)

Prime factorization is when you break down the factors of 11 to just the prime factors and expressing 11 as a product of those prime factors.

In this case, because 11 is a prime number, we can simply state the primary factorization as 11.

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 11.

11 ÷ 11 = 1

If we divide 11 by 11, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 11 is just 11.

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

Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

Factors of 135 - The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135

Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12

Factors of 150 - The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150