115 LearnersLast updated on May 26th, 2025
Factors of 568
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 568, how they are used in real life, and tips to learn them quickly.
What are the Factors of 568?
The numbers that divide 568 evenly are known as factors of 568.
A factor of 568 is a number that divides the number without remainder.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, and 568.
Negative factors of 568: -1, -2, -4, -8, -71, -142, -284, and -568.
Prime factors of 568: 2 and 71.
Prime factorization of 568: 2³ × 71.
The sum of factors of 568: 1 + 2 + 4 + 8 + 71 + 142 + 284 + 568 = 1080
How to Find Factors of 568?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 568. Identifying the numbers which are multiplied to get the number 568 is the multiplication method.
Step 1: Multiply 568 by 1, 568 × 1 = 568.
Step 2: Check for other numbers that give 568 after multiplying
2 × 284 = 568
4 × 142 = 568
8 × 71 = 568
Therefore, the positive factor pairs of 568 are: (1, 568), (2, 284), (4, 142), (8, 71). All these factor pairs result in 568. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 568 by 1, 568 ÷ 1 = 568.
Step 2: Continue dividing 568 by the numbers until the remainder becomes 0.
568 ÷ 1 = 568
568 ÷ 2 = 284
568 ÷ 4 = 142
568 ÷ 8 = 71
Therefore, the factors of 568 are: 1, 2, 4, 8, 71, 142, 284, 568.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 568 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
568 ÷ 2 = 284
284 ÷ 2 = 142
142 ÷ 2 = 71
71 ÷ 71 = 1
The prime factors of 568 are 2 and 71.
The prime factorization of 568 is: 2³ × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 568 is divided by 2 to get 284.
Step 2: Now divide 284 by 2 to get 142.
Step 3: Then divide 142 by 2 to get 71.
Here, 71 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 568 is: 2³ × 71.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 568: (1, 568), (2, 284), (4, 142), and (8, 71).
Negative factor pairs of 568: (-1, -568), (-2, -284), (-4, -142), and (-8, -71).
Common Mistakes and How to Avoid Them in Factors of 568
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 568, 1 and 568 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 568 include -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 568/1.5 = 378.666, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 568 are prime numbers.
For example, 2 and 71 are the prime factors of 568, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 568 as 2³ × 71 and missing all the key factors.
Factors of 568 Examples
Problem 1
There are 71 people and 568 oranges. How will they divide it equally?
They will get 8 oranges each.
Explanation
To divide the oranges equally, we need to divide the total oranges with the number of people.
568/71 = 8
Problem 2
A garden is rectangular, the length of the garden is 8 meters and the total area is 568 square meters. Find the width?
71 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
568 = 8 × width
To find the value of width, we need to shift 8 to the left side.
568/8 = width
Width = 71.
Problem 3
There are 4 baskets and 568 apples. How many apples will be in each basket?
Each basket will have 142 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
568/4 = 142
Problem 4
In a library, there are 568 books, and 2 sections. How many books are there in each section?
There are 284 books in each section.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
568/2 = 284
Problem 5
568 postcards need to be arranged in 8 displays. How many postcards will go on each display?
Each display has 71 postcards.
Explanation
Divide total postcards with displays.
568/8 = 71
FAQs on Factors of 568
1.What are the factors of 568?
2.Mention the prime factors of 568.
3.Is 568 a multiple of 4?
4.Mention the factor pairs of 568?
5.What is the square of 568?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 568?
7.What are some fun ways kids in United Kingdom can practice Factors of 568 with numbers?
8.What role do numbers and Factors of 568 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 568 skills?
Important Glossaries for Factors of 568
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 568 are 1, 2, 4, 8, 71, 142, 284, and 568.
- Prime factors: The factors which are prime numbers. For example, 2 and 71 are prime factors of 568.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 568 is 2³ × 71.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 568 are (1, 568), (2, 284), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 568 is a multiple of 4.
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About BrightChamps in United Kingdom
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
