What are the Factors of 73?

So, what are the factors of 73?

• Factors of 73: 1, 73

• Sum of Factors of 73: 74

• Negative Factors of 73: -1, -73

• Prime Factors of 73: 1, 73

• Prime Factorization of 73: 73

There are two ways to find the factors of 73: using factor pairs and using prime factorization.

Factor pairs of 73 are any two numbers that, when multiplied together, equal 73. The question to ask is “what two numbers multiplied together equal 73?” Every factor can be paired with another factor and multiplying the two will result in 73.

In this case, we can see that 73 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, 73 only has one factor pair:

(1, 73)

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

(-1, -73)

Prime factorization is when you break down the factors of 73 to just the prime factors and expressing 73 as a product of those prime factors.

In this case, because 73 is a prime number, we can simply state the primary factorization as 73.

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 73.

73 ÷ 73 = 1

If we divide 73 by 73, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 73 is just 73.

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

Factors of 101 - The factors of 101 are 1, 101

Factors of 116 - The factors of 116 are 1, 2, 4, 29, 58, 116

Factors of 94 - The factors of 94 are 1, 2, 47, 94

Factors of 51 - The factors of 51 are 1, 3, 17, 51