What are the Factors of 101?

So, what are the factors of 101?

• Factors of 101: 1, 101

• Sum of Factors of 101: 102

• Negative Factors of 101: -1, -101

• Prime Factors of 101: 1, 101

• Prime Factorization of 101: 101

There are two ways to find the factors of 101: using factor pairs and using prime factorization.

Factor pairs of 101 are any two numbers that, when multiplied together, equal 101. The question to ask is “what two numbers multiplied together equal 101?” Every factor can be paired with another factor and multiplying the two will result in 101.

In this case, we can see that 101 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, 101 only has one factor pair:

(1, 101)

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

(-1, -101)

Prime factorization is when you break down the factors of 101 to just the prime factors and expressing 101 as a product of those prime factors.

In this case, because 101 is a prime number, we can simply state the primary factorization as 101.

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 101.

101 ÷ 101 = 1

If we divide 101 by 101, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 101 is just 101.

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

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

Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

Factors of 104 - The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104

Factors of 115 - The factors of 115 are 1, 5, 23, 115