What are the Factors of 113?

So, what are the factors of 113?

• Factors of 113: 1, 113

• Sum of Factors of 113: 114

• Negative Factors of 113: -1, -113

• Prime Factors of 113: 1, 113

• Prime Factorization of 113: 113

There are two ways to find the factors of 113: using factor pairs and using prime factorization.

Factor pairs of 113 are any two numbers that, when multiplied together, equal 113. The question to ask is “what two numbers multiplied together equal 113?” Every factor can be paired with another factor and multiplying the two will result in 113.

In this case, we can see that 113 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, 113 only has one factor pair:

(1, 113)

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

(-1, -113)

Prime factorization is when you break down the factors of 113 to just the prime factors and expressing 113 as a product of those prime factors.

In this case, because 113 is a prime number, we can simply state the primary factorization as 113.

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 113.

113 ÷ 113 = 1

If we divide 113 by 113, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 113 is just 113.

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

Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63

Factors of 83 - The factors of 83 are 1, 83

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

Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30