Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 71 people and 568 oranges. How will they divide it equally?
They will get 8 oranges each.
To divide the oranges equally, we need to divide the total oranges with the number of people.
568/71 = 8
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.
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.
There are 4 baskets and 568 apples. How many apples will be in each basket?
Each basket will have 142 apples.
To find the apples in each basket, divide the total apples with the baskets.
568/4 = 142
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.
Dividing the books with the total sections, we will get the number of books in each section.
568/2 = 284
568 postcards need to be arranged in 8 displays. How many postcards will go on each display?
Each display has 71 postcards.
Divide total postcards with displays.
568/8 = 71
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.
: She loves to read number jokes and games.