What are the Factors of 131?

So, what are the factors of 131?

• Factors of 131: 1, 131

• Sum of Factors of 131: 132

• Negative Factors of 131: -1, -131

• Prime Factors of 131: 1, 131

• Prime Factorization of 131: 131

There are two ways to find the factors of 131: using factor pairs and using prime factorization.

Factor pairs of 131 are any two numbers that, when multiplied together, equal 131. The question to ask is “what two numbers multiplied together equal 131?” Every factor can be paired with another factor and multiplying the two will result in 131.

In this case, we can see that 131 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, 131 only has one factor pair:

(1, 131)

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

(-1, -131)

Prime factorization is when you break down the factors of 131 to just the prime factors and expressing 131 as a product of those prime factors.

In this case, because 131 is a prime number, we can simply state the primary factorization as 131.

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 131.

131 ÷ 131 = 1

If we divide 131 by 131, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 131 is just 131.

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

Factors of 146 - The factors of 146 are 1, 2, 73, 146

Factors of 38 - The factors of 38 are 1, 2, 19, 38

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

Factors of 124 - The factors of 124 are 1, 2, 4, 31, 62, 124