Math Tutor Explains: What are the Factors of 149?

As your math tutor, I’m here to guide you through the different types of factors of 149. So, what are the factors of 149?

• Factors of 149: 1, 149

• Sum of Factors of 149: 150

• Negative Factors of 149: -1, -149

• Prime Factors of 149: 1, 149

• Prime Factorization of 149: 149

There are two ways to find the factors of 149: using factor pairs and using prime factorization.

Factor pairs of 149 are any two numbers that, when multiplied together, equal 149. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 149?” Every factor can be paired with another factor and multiplying the two will result in 149.

In this case, we can see that 149 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, 149 only has one factor pair:

(1, 149)

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

(-1, -149)

Prime factorization is when you break down the factors of 149 to just the prime factors and expressing 149 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 149 is a prime number, we can simply state the primary factorization as 149.

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 149.

149 ÷ 149 = 1

If we divide 149 by 149, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 149 is just 149.

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

Factors of 61 - The factors of 61 are 1, 61

Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

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

Factors of 118 - The factors of 118 are 1, 2, 59, 118