What are the Factors of 167?

So, what are the factors of 167?

• Factors of 167: 1, 167

• Sum of Factors of 167: 168

• Negative Factors of 167: -1, -167

• Prime Factors of 167: 1, 167

• Prime Factorization of 167: 167

There are two ways to find the factors of 167: using factor pairs and using prime factorization.

Factor pairs of 167 are any two numbers that, when multiplied together, equal 167. The question to ask is “what two numbers multiplied together equal 167?” Every factor can be paired with another factor and multiplying the two will result in 167.

In this case, we can see that 167 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, 167 only has one factor pair:

(1, 167)

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

(-1, -167)

Prime factorization is when you break down the factors of 167 to just the prime factors and expressing 167 as a product of those prime factors.

In this case, because 167 is a prime number, we can simply state the primary factorization as 167.

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 167.

167 ÷ 167 = 1

If we divide 167 by 167, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 167 is just 167.

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

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

Factors of 62 - The factors of 62 are 1, 2, 31, 62

Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50

Factors of 41 - The factors of 41 are 1, 41