100 LearnersLast updated on May 26th, 2025
Factors of 2033
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 2033, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2033?
The numbers that divide 2033 evenly are known as factors of 2033.
A factor of 2033 is a number that divides the number without remainder.
The factors of 2033 are 1, 3, 677, and 2033.
Negative factors of 2033: -1, -3, -677, -2033.
Prime factors of 2033: 3 and 677.
Prime factorization of 2033: 3 × 677.
The sum of factors of 2033: 1 + 3 + 677 + 2033 = 2714
How to Find Factors of 2033?
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 2033. Identifying the numbers which are multiplied to get the number 2033 is the multiplication method.
Step 1: Multiply 2033 by 1, 2033 × 1 = 2033.
Step 2: Check for other numbers that give 2033 after multiplying 3 × 677 = 2033
Therefore, the positive factor pairs of 2033 are: (1, 2033), (3, 677).
All these factor pairs result in 2033.
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 2033 by 1, 2033 ÷ 1 = 2033.
Step 2: Continue dividing 2033 by the numbers until the remainder becomes 0.
2033 ÷ 1 = 2033
2033 ÷ 3 = 677
Therefore, the factors of 2033 are: 1, 3, 677, 2033.
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 2033 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2033 ÷ 3 = 677
677 ÷ 677 = 1
The prime factors of 2033 are 3 and 677.
The prime factorization of 2033 is: 3 × 677.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2033 is divided by 3 to get 677.
Step 2: Now divide 677 by 677 to get 1. Here, 677 is a prime number, that cannot be divided anymore.
So, the prime factorization of 2033 is: 3 × 677.
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 2033: (1, 2033), (3, 677).
Negative factor pairs of 2033: (-1, -2033), (-3, -677).
Common Mistakes and How to Avoid Them in Factors of 2033
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 2033, 1 and 2033 are also factors.
Factors of 2033 Examples
Problem 1
There are 3 teams and 2033 marbles. How will they divide it equally?
They will get 677 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of teams.
2033/3 = 677
Problem 2
A concert hall is divided into sections, each section can hold 3 seats, and the total capacity is 2033 seats. How many sections are there?
677 sections.
Explanation
To find the number of sections, we use the formula,
Total capacity = sections × seats
2033 = sections × 3
To find the value of sections, we need to shift 3 to the left side.
2033/3 = sections
Sections = 677.
Problem 3
There are 677 people and 2033 gift cards. How many gift cards will each person receive?
Each person will receive 3 gift cards.
Explanation
To find the gift cards each person will receive, divide the total gift cards by the number of people.
2033/677 = 3
Problem 4
In a warehouse, there are 2033 boxes and 1 container. How many boxes are there in the container?
There are 2033 boxes in the container.
Explanation
Dividing the boxes with the total containers, we will get the number of boxes in the container.
2033/1 = 2033
Problem 5
2033 books need to be divided into 3 libraries. How many books will go to each library?
Each library will receive 677 books.
Explanation
Divide total books with libraries.
2033/3 = 677
FAQs on Factors of 2033
1.What are the factors of 2033?
2.Mention the prime factors of 2033.
3.Is 2033 a multiple of 3?
4.Mention the factor pairs of 2033?
5.What is the square of 2033?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2033?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2033 with numbers?
8.What role do numbers and Factors of 2033 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2033 skills?
Important Glossaries for Factors of 2033
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2033 are 1, 3, 677, and 2033.
- Prime factors: The factors which are prime numbers. For example, 3 and 677 are prime factors of 2033.
- 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 2033 are (1, 2033), (3, 677).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of breaking down a number into its prime components. For example, the prime factorization of 2033 is 3 × 677.
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About BrightChamps in United Arab Emirates
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.
