103 LearnersLast updated on May 26th, 2025
Factors of 575
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 575, how they are used in real life, and tips to learn them quickly.
What are the Factors of 575?
The numbers that divide 575 evenly are known as factors of 575.
A factor of 575 is a number that divides the number without remainder.
The factors of 575 are 1, 5, 23, 25, 115, and 575.
Negative factors of 575: -1, -5, -23, -25, -115, and -575.
Prime factors of 575: 5 and 23.
Prime factorization of 575: 5 × 5 × 23 or 5² × 23.
The sum of factors of 575: 1 + 5 + 23 + 25 + 115 + 575 = 744
How to Find Factors of 575?
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 575. Identifying the numbers which are multiplied to get the number 575 is the multiplication method.
Step 1: Multiply 575 by 1, 575 × 1 = 575.
Step 2: Check for other numbers that give 575 after multiplying
5 × 115 = 575
23 × 25 = 575
Therefore, the positive factor pairs of 575 are: (1, 575), (5, 115), and (23, 25). All these factor pairs result in 575. 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 575 by 1, 575 ÷ 1 = 575.
Step 2: Continue dividing 575 by the numbers until the remainder becomes 0.
575 ÷ 1 = 575
575 ÷ 5 = 115
575 ÷ 23 = 25
575 ÷ 25 = 23
Therefore, the factors of 575 are: 1, 5, 23, 25, 115, 575.
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 575 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
The prime factors of 575 are 5 and 23.
The prime factorization of 575 is: 5² × 23.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 575 is divided by 5 to get 115.
Step 2: Now divide 115 by 5 to get 23. Here, 23 is a prime number, that cannot be divided anymore. So, the prime factorization of 575 is: 5² × 23.
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 575: (1, 575), (5, 115), and (23, 25).
Negative factor pairs of 575: (-1, -575), (-5, -115), and (-23, -25).
Common Mistakes and How to Avoid Them in Factors of 575
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 575, 1 and 575 are also factors.
Factors of 575 Examples
Problem 1
A farmer has 575 apples and wants to pack them equally into 5 baskets. How many apples will each basket contain?
Each basket will contain 115 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
575/5 = 115
Problem 2
A rectangular piece of land has a length of 25 meters and a total area of 575 square meters. What is the width?
23 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
575 = 25 × width
To find the value of width, we need to shift 25 to the left side.
575/25 = width
Width = 23.
Problem 3
575 students need to be divided equally into 23 buses for a field trip. How many students will be in each bus?
Each bus will have 25 students.
Explanation
To find the number of students in each bus, divide the total number of students by the number of buses.
575/23 = 25
Problem 4
There are 5 shelves, and each needs to hold an equal number of books out of a total of 575 books. How many books will each shelf hold?
Each shelf will have 115 books.
Explanation
Divide the total number of books by the number of shelves.
575/5 = 115
Problem 5
A classroom has 575 chairs, and they need to be arranged in rows of 25 chairs each. How many rows will there be?
There will be 23 rows.
Explanation
To find the number of rows, divide the total number of chairs by the number of chairs per row.
575/25 = 23
FAQs on Factors of 575
1.What are the factors of 575?
2.Mention the prime factors of 575.
3.Is 575 a multiple of 23?
4.Mention the factor pairs of 575?
5.What is the square of 575?
Important Glossaries for Factors of 575
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 575 are 1, 5, 23, 25, 115, and 575.
- Prime factors: The factors which are prime numbers. For example, 5 and 23 are prime factors of 575.
- 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 575 are (1, 575), (5, 115), and (23, 25).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 575 is 5² × 23.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factor pairs of 575 like (5, 115).
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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.
