Math Tutor Explains: What are the Factors of 41?

As your math tutor, I’m here to guide you through the different types of factors of 41. So, what are the factors of 41?

• Factors of 41: 1, 41

• Sum of Factors of 41: 42

• Negative Factors of 41: -1, -41

• Prime Factors of 41: 1, 41

• Prime Factorization of 41: 41

There are two ways to find the factors of 41: using factor pairs and using prime factorization.

Factor pairs of 41 are any two numbers that, when multiplied together, equal 41. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 41?” Every factor can be paired with another factor and multiplying the two will result in 41.

In this case, we can see that 41 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, 41 only has one factor pair:

(1, 41)

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

(-1, -41)

Prime factorization is when you break down the factors of 41 to just the prime factors and expressing 41 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 41 is a prime number, we can simply state the primary factorization as 41.

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 41.

41 ÷ 41 = 1

If we divide 41 by 41, we simply get 1, which can’t be broken down any further.

So, the prime factorization of 41 is just 41.

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

Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Factors of 145 - The factors of 145 are 1, 5, 29, 145

Factors of 132 - The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132