What are the Factors of 173?

So, what are the factors of 173?

• Factors of 173: 1, 173

• Sum of Factors of 173: 174

• Negative Factors of 173: -1, -173

• Prime Factors of 173: 1, 173

• Prime Factorization of 173: 173

There are two ways to find the factors of 173: using factor pairs and using prime factorization.

Factor pairs of 173 are any two numbers that, when multiplied together, equal 173. The question to ask is “what two numbers multiplied together equal 173?” Every factor can be paired with another factor and multiplying the two will result in 173.

In this case, we can see that 173 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, 173 only has one factor pair:

(1, 173)

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

(-1, -173)

Prime factorization is when you break down the factors of 173 to just the prime factors and expressing 173 as a product of those prime factors.

In this case, because 173 is a prime number, we can simply state the primary factorization as 173.

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 173.

173 ÷ 173 = 1

If we divide 173 by 173, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 173 is just 173.

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

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

Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 51 - The factors of 51 are 1, 3, 17, 51

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