What are the Factors of 97?

So, what are the factors of 97?

• Factors of 97: 1, 97

• Sum of Factors of 97: 98

• Negative Factors of 97: -1, -97

• Prime Factors of 97: 1, 97

• Prime Factorization of 97: 97

There are two ways to find the factors of 97: using factor pairs and using prime factorization.

Factor pairs of 97 are any two numbers that, when multiplied together, equal 97. The question to ask is “what two numbers multiplied together equal 97?” Every factor can be paired with another factor and multiplying the two will result in 97.

In this case, we can see that 97 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, 97 only has one factor pair:

(1, 97)

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

(-1, -97)

Prime factorization is when you break down the factors of 97 to just the prime factors and expressing 97 as a product of those prime factors.

In this case, because 97 is a prime number, we can simply state the primary factorization as 97.

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 97.

97 ÷ 97 = 1

If we divide 97 by 97, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 97 is just 97.

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

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

Factors of 117 - The factors of 117 are 1, 3, 9, 13, 39, 117

Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Factors of 138 - The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138