Math Tutor Explains: What are the Factors of 151?

As your math tutor, I’m here to guide you through the different types of factors of 151. So, what are the factors of 151?

• Factors of 151: 1, 151

• Sum of Factors of 151: 152

• Negative Factors of 151: -1, -151

• Prime Factors of 151: 1, 151

• Prime Factorization of 151: 151

There are two ways to find the factors of 151: using factor pairs and using prime factorization.

Factor pairs of 151 are any two numbers that, when multiplied together, equal 151. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 151?” Every factor can be paired with another factor and multiplying the two will result in 151.

In this case, we can see that 151 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, 151 only has one factor pair:

(1, 151)

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

(-1, -151)

Prime factorization is when you break down the factors of 151 to just the prime factors and expressing 151 as a product of those prime factors. Let’s go through the process and simplify it like a math tutor would!

In this case, because 151 is a prime number, we can simply state the primary factorization as 151.

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 151.

151 ÷ 151 = 1

If we divide 151 by 151, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 151 is just 151.

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

Factors of 111 - The factors of 111 are 1, 3, 37, 111

Factors of 103 - The factors of 103 are 1, 103

Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 97 - The factors of 97 are 1, 97