129 LearnersLast updated on May 26th, 2025
Factors of 1565
Factors are the numbers that divide any given number evenly without a 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 1565, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1565?
The numbers that divide 1565 evenly are known as factors of 1565. A factor of 1565 is a number that divides the number without a remainder. The factors of 1565 are 1, 5, 313, and 1565.
Negative factors of 1565: -1, -5, -313, and -1565.
Prime factors of 1565: 5 and 313.
Prime factorization of 1565: 5 × 313.
The sum of factors of 1565: 1 + 5 + 313 + 1565 = 1884
How to Find Factors of 1565?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1565. Identifying the numbers which are multiplied to get the number 1565 is the multiplication method.
Step 1: Multiply 1565 by 1, 1565 × 1 = 1565.
Step 2: Check for other numbers that give 1565 after multiplying
5 × 313 = 1565
Therefore, the positive factor pairs of 1565 are: (1, 1565) and (5, 313). All these factor pairs result in 1565. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1565 by 1, 1565 ÷ 1 = 1565.
Step 2: Continue dividing 1565 by the numbers until the remainder becomes 0.
1565 ÷ 1 = 1565
1565 ÷ 5 = 313
1565 ÷ 313 = 5
Therefore, the factors of 1565 are: 1, 5, 313, and 1565.
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 1565 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1565 ÷ 5 = 313
313 ÷ 313 = 1
The prime factors of 1565 are 5 and 313. The prime factorization of 1565 is: 5 × 313.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1565 is divided by 5 to get 313.
Step 2: Now divide 313 by itself as it is a prime number. Here, 313 is a prime number and cannot be divided further. So, the prime factorization of 1565 is: 5 × 313.
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 1565: (1, 1565) and (5, 313).
- Negative factor pairs of 1565: (-1, -1565) and (-5, -313).
Common Mistakes and How to Avoid Them in Factors of 1565
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 1565, 1 and 1565 are also factors.
Factors of 1565 Examples
Problem 1
There are 5 groups and 1565 sweets. How will they divide it equally?
They will get 313 sweets each.
Explanation
To divide the sweets equally, we need to divide the total sweets by the number of groups.
1565/5 = 313
Problem 2
A rectangular garden has a length of 313 meters and a total area of 1565 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1565 = 313 × width
To find the value of width, we need to shift 313 to the left side.
1565/313 = width
Width = 5.
Problem 3
There are 313 students and 1565 textbooks. How many textbooks will be in each student's possession?
Each student will have 5 textbooks.
Explanation
To find the textbooks each student gets, divide the total textbooks by the number of students.
1565/313 = 5
Problem 4
A library has 1565 books and 5 sections. How many books are there in each section?
There are 313 books in each section.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
1565/5 = 313
Problem 5
A company needs to distribute 1565 brochures to 313 employees. How many brochures will each employee receive?
Each of the employees receives 5 brochures.
Explanation
Divide total brochures by employees.
1565/313 = 5
FAQs on Factors of 1565
1.What are the factors of 1565?
2.Mention the prime factors of 1565.
3.Is 1565 a multiple of 5?
4.Mention the factor pairs of 1565?
5.What is the square of 1565?
6.How can children in Canada use numbers in everyday life to understand Factors of 1565?
7.What are some fun ways kids in Canada can practice Factors of 1565 with numbers?
8.What role do numbers and Factors of 1565 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1565 skills?
Important Glossaries for Factors of 1565
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1565 are 1, 5, 313, and 1565.
- Prime factors: The factors which are prime numbers. For example, 5 and 313 are prime factors of 1565.
- 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 1565 are (1, 1565) and (5, 313).
- Prime factorization: A method of expressing a number as the product of its prime factors. For example, 1565 is 5 × 313.
- Multiplication Method: A way to find factors by identifying pairs of numbers that multiply to give a specific number. For example, finding pairs for 1565 as (1, 1565) and (5, 313).
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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.
