What are the Factors of 127?

So, what are the factors of 127?

• Factors of 127: 1, 127

• Sum of Factors of 127: 128

• Negative Factors of 127: -1, -127

• Prime Factors of 127: 1, 127

• Prime Factorization of 127: 127

There are two ways to find the factors of 127: using factor pairs and using prime factorization.

Factor pairs of 127 are any two numbers that, when multiplied together, equal 127. The question to ask is “what two numbers multiplied together equal 127?” Every factor can be paired with another factor and multiplying the two will result in 127.

In this case, we can see that 127 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, 127 only has one factor pair:

(1, 127)

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

(-1, -127)

Prime factorization is when you break down the factors of 127 to just the prime factors and expressing 127 as a product of those prime factors.

In this case, because 127 is a prime number, we can simply state the primary factorization as 127.

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 127.

127 ÷ 127 = 1

If we divide 127 by 127, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 127 is just 127.

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

Factors of 85 - The factors of 85 are 1, 5, 17, 85

Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 147 - The factors of 147 are 1, 3, 7, 21, 49, 147