100 LearnersLast updated on May 26th, 2025
Factors of 572
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 572, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 572?
The numbers that divide 572 evenly are known as factors of 572.
A factor of 572 is a number that divides the number without remainder.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, and 572.
Negative factors of 572: -1, -2, -4, -11, -13, -22, -26, -44, -52, -143, -286, and -572.
Prime factors of 572: 2, 11, and 13.
Prime factorization of 572: 2² × 11 × 13.
The sum of factors of 572: 1 + 2 + 4 + 11 + 13 + 22 + 26 + 44 + 52 + 143 + 286 + 572 = 1176
How to Find Factors of 572?
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 572. Identifying the numbers which are multiplied to get the number 572 is the multiplication method.
Step 1: Multiply 572 by 1, 572 × 1 = 572.
Step 2: Check for other numbers that give 572 after multiplying
2 × 286 = 572
4 × 143 = 572
11 × 52 = 572
13 × 44 = 572
Therefore, the positive factor pairs of 572 are: (1, 572), (2, 286), (4, 143), (11, 52), (13, 44). All these factor pairs result in 572. 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 the simple division method -
Step 1: Divide 572 by 1, 572 ÷ 1 = 572.
Step 2: Continue dividing 572 by the numbers until the remainder becomes 0.
572 ÷ 1 = 572
572 ÷ 2 = 286
572 ÷ 4 = 143
572 ÷ 11 = 52
572 ÷ 13 = 44
Therefore, the factors of 572 are: 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
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 572 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
572 ÷ 2 = 286
286 ÷ 2 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 572 are 2, 11, and 13.
The prime factorization of 572 is: 2² × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 572 is divided by 2 to get 286.
Step 2: Now divide 286 by 2 to get 143.
Step 3: Then divide 143 by 11 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 572 is: 2² × 11 × 13.
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 572: (1, 572), (2, 286), (4, 143), (11, 52), and (13, 44).
Negative factor pairs of 572: (-1, -572), (-2, -286), (-4, -143), (-11, -52), and (-13, -44).
Common Mistakes and How to Avoid Them in Factors of 572
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 572, 1 and 572 are also factors.
Factors of 572 Examples
Problem 1
A gardener has 572 plants and wants to organize them into rows of 13. How many full rows will there be?
There will be 44 full rows.
Explanation
To organize the plants equally, we need to divide the total plants by the number of plants per row.
572/13 = 44
Problem 2
A rectangular pool has a length of 11 meters and a total area of 572 square meters. Find the width.
52 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
572 = 11 × width
To find the value of width, we need to shift 11 to the left side.
572/11 = width
Width = 52.
Problem 3
There are 286 boxes and each box contains 2 items. How many items are there in total?
There are 572 items in total.
Explanation
To find the total number of items, multiply the number of boxes by the number of items per box.
286 × 2 = 572
Problem 4
In a class, there are 572 students, and they need to be divided into groups of 22. How many groups are there?
There are 26 groups.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
572/22 = 26
Problem 5
572 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 52 books.
Explanation
Divide total books by shelves.
572/11 = 52
FAQs on Factors of 572
1.What are the factors of 572?
2.Mention the prime factors of 572.
3.Is 572 a multiple of 13?
4.Mention the factor pairs of 572?
5.What is the square of 572?
6.How can children in Qatar use numbers in everyday life to understand Factors of 572?
7.What are some fun ways kids in Qatar can practice Factors of 572 with numbers?
8.What role do numbers and Factors of 572 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 572 skills?
Important Glossaries for Factor of 572
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, and 572.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 13 are prime factors of 572.
- 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 572 are (1, 572), (2, 286), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 572 is 2² × 11 × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 572 is a multiple of 13.
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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.
