What are the Factors of 109?

So, what are the factors of 109?

• Factors of 109: 1, 109

• Sum of Factors of 109: 110

• Negative Factors of 109: -1, -109

• Prime Factors of 109: 1, 109

• Prime Factorization of 109: 109

There are two ways to find the factors of 109: using factor pairs and using prime factorization.

Factor pairs of 109 are any two numbers that, when multiplied together, equal 109. The question to ask is “what two numbers multiplied together equal 109?” Every factor can be paired with another factor and multiplying the two will result in 109.

In this case, we can see that 109 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, 109 only has one factor pair:

(1, 109)

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

(-1, -109)

Prime factorization is when you break down the factors of 109 to just the prime factors and expressing 109 as a product of those prime factors.

In this case, because 109 is a prime number, we can simply state the primary factorization as 109.

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 109.

109 ÷ 109 = 1

If we divide 109 by 109, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 109 is just 109.

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

Factors of 111 - The factors of 111 are 1, 3, 37, 111

Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 138 - The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138

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