Loading…
Factors of 67
Methods
What are the Factors of 67?
As your math tutor, I’m here to guide you through the different types of factors of 67. So, what are the factors of 67?
• Factors of 67: 1, 67
• Sum of Factors of 67: 68
• Negative Factors of 67: -1, -67
• Prime Factors of 67: 1, 67
• Prime Factorization of 67: 67
There are two ways to find the factors of 67: using factor pairs and using prime factorization.
The Factor Pairs of 67
Factor pairs of 67 are any two numbers that, when multiplied together, equal 67. The question I would ask as a math tutor to guide you is: “what two numbers multiplied together equal 67?” Every factor can be paired with another factor and multiplying the two will result in 67.
In this case, we can see that 67 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, 67 only has one factor pair:
(1, 67)
If you also consider negative factors, there is also a second factor pair:
(-1, -67)
Prime Factorization of 67
Prime factorization is when you break down the factors of 67 to just the prime factors and expressing 67 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 67 is a prime number, we can simply state the primary factorization as 67.
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 67.
67 ÷ 67 = 1
If we divide 67 by 67, we simply get 1, which can’t be broken down any further.
So, the prime factorization of 67 is just 67.
Math Tutor Suggests: Find the Factors of Other Numbers
Practice your factoring skills by exploring how to factor other numbers, like the ones below:
Factors of 126 - The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Factors of 62 - The factors of 62 are 1, 2, 31, 62
Factors of 83 - The factors of 83 are 1, 83
Factors of 82 - The factors of 82 are 1, 2, 41, 82
Download FREE Math Resources
Take advantage of our free downloadable resources and study materials for at-home learning.
8 Math Hacks and Tricks to Turn Your 'Okay' Math Student Into a Math Champion!
One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.
Get PDF
Math Tutoring to Boost Your Child’s Math Skills & Scores by 90% in Just 3 Months – Guaranteed!
Does your child struggle with math homework or understanding tricky math concepts? Do they do okay in math, but express excitement to learn new material or advanced math?
A Thinkster Math tutor provides one-to-one support to help elementary, middle school, and high school students build confidence and master math subjects like K-8 math, pre-algebra, algebra, geometry, calculus, and more.
Our expert math tutors customize math lessons to your child’s unique needs, making learning math fun and effective. We help students improve grades, develop strong critical thinking skills through solving word problems, excel in standardized tests, and develop strong problem-solving skills.
Our expert math tutors are ready to help make your child a champion and develop strong math mastery! Sign up for our 7-day free trial and get the best math tutor for your child today!
Start 7-Day Free Trial