What are the Factors of 103?

So, what are the factors of 103?

• Factors of 103: 1, 103

• Sum of Factors of 103: 104

• Negative Factors of 103: -1, -103

• Prime Factors of 103: 1, 103

• Prime Factorization of 103: 103

There are two ways to find the factors of 103: using factor pairs and using prime factorization.

Factor pairs of 103 are any two numbers that, when multiplied together, equal 103. The question to ask is “what two numbers multiplied together equal 103?” Every factor can be paired with another factor and multiplying the two will result in 103.

In this case, we can see that 103 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, 103 only has one factor pair:

(1, 103)

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

(-1, -103)

Prime factorization is when you break down the factors of 103 to just the prime factors and expressing 103 as a product of those prime factors.

In this case, because 103 is a prime number, we can simply state the primary factorization as 103.

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 103.

103 ÷ 103 = 1

If we divide 103 by 103, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 103 is just 103.

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

Factors of 77 - The factors of 77 are 1, 7, 11, 77

Factors of 55 - The factors of 55 are 1, 5, 11, 55

Factors of 134 - The factors of 134 are 1, 2, 67, 134

Factors of 149 - The factors of 149 are 1, 149