What are the Factors of 59?

So, what are the factors of 59?

• Factors of 59: 1, 59

• Sum of Factors of 59: 60

• Negative Factors of 59: -1, -59

• Prime Factors of 59: 1, 59

• Prime Factorization of 59: 59

There are two ways to find the factors of 59: using factor pairs and using prime factorization.

Factor pairs of 59 are any two numbers that, when multiplied together, equal 59. The question to ask is “what two numbers multiplied together equal 59?” Every factor can be paired with another factor and multiplying the two will result in 59.

In this case, we can see that 59 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, 59 only has one factor pair:

(1, 59)

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

(-1, -59)

Prime factorization is when you break down the factors of 59 to just the prime factors and expressing 59 as a product of those prime factors.

In this case, because 59 is a prime number, we can simply state the primary factorization as 59.

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 59.

59 ÷ 59 = 1

If we divide 59 by 59, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 59 is just 59.

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

Factors of 122 - The factors of 122 are 1, 2, 61, 122

Factors of 22 - The factors of 22 are 1, 2, 11, 22

Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80