100 LearnersLast updated on May 26th, 2025
Factors of 893
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 893, how they are used in real life, and tips to learn them quickly.
What are the Factors of 893?
The numbers that divide 893 evenly are known as factors of 893.
A factor of 893 is a number that divides the number without remainder.
The factors of 893 are 1, 13, 61, and 893.
Negative factors of 893: -1, -13, -61, and -893.
Prime factors of 893: 13 and 61.
Prime factorization of 893: 13 × 61.
The sum of factors of 893: 1 + 13 + 61 + 893 = 968
How to Find Factors of 893?
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 893. Identifying the numbers which are multiplied to get the number 893 is the multiplication method.
Step 1: Multiply 893 by 1, 893 × 1 = 893.
Step 2: Check for other numbers that give 893 after multiplying 13 × 61 = 893
Therefore, the positive factor pairs of 893 are: (1, 893) and (13, 61). 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 results as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 893 by 1, 893 ÷ 1 = 893.
Step 2: Continue dividing 893 by numbers until the remainder becomes 0.
893 ÷ 1 = 893
893 ÷ 13 = 61
Therefore, the factors of 893 are: 1, 13, 61, and 893.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 893 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
893 ÷ 13 = 61
61 ÷ 61 = 1
The prime factors of 893 are 13 and 61.
The prime factorization of 893 is: 13 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 893 is divided by 13 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, both 13 and 61 are prime numbers, and they cannot be divided anymore. So, the prime factorization of 893 is: 13 × 61.
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 893: (1, 893) and (13, 61).
Negative factor pairs of 893: (-1, -893) and (-13, -61).
Common Mistakes and How to Avoid Them in Factors of 893
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 factors. 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 893, 1 and 893 are also factors.
Factors of 893 Examples
Problem 1
There are 13 tables and 893 chairs. How will they arrange them equally?
They will place 61 chairs at each table.
Explanation
To arrange the chairs equally, we need to divide the total chairs by the number of tables.
893/13 = 61
Problem 2
A rectangular garden has a length of 61 meters and a total area of 893 square meters. Find the width.
13 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
893 = 61 × width
To find the value of width, we need to divide 893 by 61.
893/61 = width
Width = 13.
Problem 3
There are 61 classrooms and 893 books. How many books will be in each classroom?
Each classroom will have 13 books.
Explanation
To find the books in each classroom, divide the total books by the number of classrooms.
893/61 = 13
Problem 4
In a school, there are 893 students and 13 buses. How many students are there in each bus?
There are 61 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
893/13 = 61
Problem 5
893 paintings need to be arranged in 13 galleries. How many paintings will go in each gallery?
Each gallery will have 61 paintings.
Explanation
Divide total paintings by the number of galleries.
893/13 = 61
FAQs on Factors of 893
1.What are the factors of 893?
2.Mention the prime factors of 893.
3.Is 893 a multiple of 13?
4.Mention the factor pairs of 893.
5.What is the square of 893?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 893?
7.What are some fun ways kids in Vietnam can practice Factors of 893 with numbers?
8.What role do numbers and Factors of 893 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 893 skills?
Important Glossaries for Factors of 893
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 893 are 1, 13, 61, and 893.
- Prime factors: The factors which are prime numbers. For example, 13 and 61 are prime factors of 893.
- 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 893 are (1, 893) and (13, 61).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 893 is 13 × 61.
- Multiples: A multiple is the result of multiplying a number by an integer. For example, 893 is a multiple of 13.
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About BrightChamps in Vietnam
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.
