What are the Factors of 197?

So, what are the factors of 197?

• Factors of 197: 1, 197

• Sum of Factors of 197: 198

• Negative Factors of 197: -1, -197

• Prime Factors of 197: 1, 197

• Prime Factorization of 197: 197

There are two ways to find the factors of 197: using factor pairs and using prime factorization.

Factor pairs of 197 are any two numbers that, when multiplied together, equal 197. The question to ask is “what two numbers multiplied together equal 197?” Every factor can be paired with another factor and multiplying the two will result in 197.

In this case, we can see that 197 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, 197 only has one factor pair:

(1, 197)

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

(-1, -197)

Prime factorization is when you break down the factors of 197 to just the prime factors and expressing 197 as a product of those prime factors.

In this case, because 197 is a prime number, we can simply state the primary factorization as 197.

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 197.

197 ÷ 197 = 1

If we divide 197 by 197, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 197 is just 197.

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

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

Factors of 91 - The factors of 91 are 1, 7, 13, 91

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

Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144