What are the Factors of 89?

So, what are the factors of 89?

• Factors of 89: 1, 89

• Sum of Factors of 89: 90

• Negative Factors of 89: -1, -89

• Prime Factors of 89: 1, 89

• Prime Factorization of 89: 89

There are two ways to find the factors of 89: using factor pairs and using prime factorization.

Factor pairs of 89 are any two numbers that, when multiplied together, equal 89. The question to ask is “what two numbers multiplied together equal 89?” Every factor can be paired with another factor and multiplying the two will result in 89.

In this case, we can see that 89 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, 89 only has one factor pair:

(1, 89)

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

(-1, -89)

Prime factorization is when you break down the factors of 89 to just the prime factors and expressing 89 as a product of those prime factors.

In this case, because 89 is a prime number, we can simply state the primary factorization as 89.

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 89.

89 ÷ 89 = 1

If we divide 89 by 89, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 89 is just 89.

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

Factors of 113 - The factors of 113 are 1, 113

Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

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

Factors of 58 - The factors of 58 are 1, 2, 29, 58