UNLOCK YOUR CHILD'S
POTENTIAL AND CREATIVITY
WITH A FREE TRIAL CLASS
DEVELOP TECHNICAL, SOFT, &
ENTREPRENEURIAL SKILLS
AGE 7-16 YEARS
CLAIM YOUR $10 ROBLOX/AMAZON/MINECRAFT GIFT
CARD BY ATTENDING A FREE TRIAL CLASS
BOOK A FREE TRIAL
Select Your Subject of Choice

    Please enter name

    Please enter email


    Existing knowledge in the chosen stream

    *No credit card required.

    Factors of 56

    |

    Understanding the factors of numbers is a core principle in mathematics, influencing everything from basic arithmetic to advanced algebra. In this insightful article, we’ll explore the factors of the number 56 through two straightforward methods: Prime Factorization and the Factor Tree Method.

    What Are the Factors of 56?

    The factors of 56 are the whole numbers that can multiply to produce the value of 56. Simply put, they are the numbers that fit evenly into 56 without leaving a remainder. The number 56 these factors are 1, 2, 4, 7, 8, 14, 28, & 56. Understanding factors is vital in math, as they help break down numbers into their building blocks, making them easier to work with.

    How to Find the Factors of 56?

    Finding the factors of 56 is a breeze by following these two primary methods:

    1. Using Prime Factorization: 

    Prime factorization is a way to break down a number into smaller parts called prime numbers that can only be divided by 1 or themselves. It’s like finding the basic building blocks of a number. You can show any number as a product of these prime numbers, and there’s only one way to do this (though the order of the numbers might change). This method is critical in math and helps in different areas, like solving equations and understanding how numbers work.

    Step 1: Divide by the Smallest Prime Number

    Divide 56 by 2:

    56÷2=28

    Divide 28 by 2:

    28÷2=14

    Divide 14 by 2:

    14÷2=7

    14÷2=7

    Step 2: Write the Prime Factorization

    The prime factorization of 56 is: 56=2×2×2×7

    Step 3: Find the Factors

    The factors of 56 include 1, 2, 4, 7, 8, 14, 28, and 56.

    2. Using a Factor Tree: 

    A Factor Tree is like a map that shows how to break a big number into smaller pieces called prime numbers. You start with a number and keep splitting it in half, drawing lines like branches on a tree. You keep going until you reach numbers that can’t be divided anymore, except by themselves or 1. These unique numbers are called prime numbers. A Factor Tree helps you see how a big number is made by multiplying these small prime numbers. It’s a handy way to figure out numbers and do math problems.

    Step 1: Start with the number 56, and choose 2 as a factor since 56 is even:

          56

           / \

         2 28

    Step 2: Next, we see that 28 is also even, so we divide it by 2:

           56

           /  \

         2   28

           / \

         2  14

    Step 3: Now, 14 is again even, so we divide it by 2

        56

        /  \

      2  28

         / \

        2  14

           /  \

          2  7

    Step 4: Finally, we’re left with 7, which is a prime number, so our factor tree is complete.

    From the factor tree, you can see that 56 is equal to

    2×2×2×7.

    The factors of 56 include 1, 2, 4, 7, 8, 14, 28, and 56.

    Summary

    Through this enlightening guide, we’ve discovered how to effortlessly find the factors of 56 using prime factorization and factor trees. The numbers that multiply together (Factors) to make 56 include: 1, 2, 4, 7, 8, 14, 28 & 56. Understanding these values and the methods to obtain them serves as a foundation for various mathematical calculations and explorations. Whether a student, teacher or just passionate about math, mastering these techniques can boost your mathematical skills and understanding.

    Recommended Reading: Math Anxiety: Symptoms, Causes, and How To Overcome

    Moonpreneur understands the needs and demands this rapidly changing technological world is bringing with it for our kids. Our expert-designed Advanced Math course for grades 3rd, 4th, 5th, and 6th will help your child develop math skills with hands-on lessons, excite them to learn, and help them build real-life applications. 

    Register for a free 60-minute Advanced Math Workshop today

    Moonpreneur

    Moonpreneur

    Moonpreneur is an ed-tech company that imparts tech entrepreneurship to children aged 6 to 15. Its flagship offering, the Innovator Program, offers students a holistic learning experience that blends Technical Skills, Power Skills, and Entrepreneurial Skills with streams such as Robotics, Game Development, App Development, Advanced Math, Scratch Coding, and Book Writing & Publishing.
    Subscribe
    Notify of
    guest

    0 Comments
    Inline Feedbacks
    View all comments

    RELATED ARTICALS

    Explore by Category

    MOST POPULAR

    GIVE A GIFT OF $10
    MINECRAFT GIFT
    TO YOUR CHILD

    JOIN A FREE TRIAL CLASS

    FREE PRINTABLE MATH WORKSHEETS

    DOWNLOAD 3rd GRADE MATH WORKSHEET
    Download Now

    DOWNLOAD 4rd GRADE MATH WORKSHEET
    Download Now

    DOWNLOAD 5rd GRADE MATH WORKSHEET
    Download Now

    DOWNLOAD 4rd GRADE MATH WORKSHEET
    Download Now

    MATH QUIZ FOR KIDS - TEST YOUR KNOWLEDGE

    MATH QUIZ FOR GRADE 3

    Start The Quiz

    MATH QUIZ FOR GRADE 4

    Start The Quiz

    MATH QUIZ FOR GRADE 5

    Start The Quiz

    MATH QUIZ FOR GRADE 6

    Start The Quiz