What are the Factors of 23?

So, what are the factors of 23?

• Factors of 23: 1, 23

• Sum of Factors of 23: 24

• Negative Factors of 23: -1, -23

• Prime Factors of 23: 1, 23

• Prime Factorization of 23: 23

There are two ways to find the factors of 23: using factor pairs and using prime factorization.

Factor pairs of 23 are any two numbers that, when multiplied together, equal 23. The question to ask is “what two numbers multiplied together equal 23?” Every factor can be paired with another factor and multiplying the two will result in 23.

In this case, we can see that 23 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, 23 only has one factor pair:

(1, 23)

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

(-1, -23)

Prime factorization is when you break down the factors of 23 to just the prime factors and expressing 23 as a product of those prime factors.

In this case, because 23 is a prime number, we can simply state the primary factorization as 23.

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 23.

23 ÷ 23 = 1

If we divide 23 by 23, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 23 is just 23.

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

Factors of 147 - The factors of 147 are 1, 3, 7, 21, 49, 147

Factors of 116 - The factors of 116 are 1, 2, 4, 29, 58, 116

Factors of 69 - The factors of 69 are 1, 3, 23, 69

Factors of 105 - The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105