100 LearnersLast updated on May 26th, 2025
Factors of 2019
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 2019, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2019?
The numbers that divide 2019 evenly are known as factors of 2019.
A factor of 2019 is a number that divides the number without remainder.
The factors of 2019 are 1, 3, 673, and 2019.
Negative factors of 2019: -1, -3, -673, and -2019.
Prime factors of 2019: 3 and 673.
Prime factorization of 2019: 3 × 673.
The sum of factors of 2019: 1 + 3 + 673 + 2019 = 2696
How to Find Factors of 2019?
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 2019. Identifying the numbers which are multiplied to get the number 2019 is the multiplication method.
Step 1: Multiply 2019 by 1, 2019 × 1 = 2019.
Step 2: Check for other numbers that give 2019 after multiplying 3 × 673 = 2019
Therefore, the positive factor pairs of 2019 are: (1, 2019), (3, 673).
All these factor pairs result in 2019.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 a simple division method
Step 1: Divide 2019 by 1, 2019 ÷ 1 = 2019.
Step 2: Continue dividing 2019 by numbers until the remainder becomes 0.
2019 ÷ 1 = 2019
2019 ÷ 3 = 673
Therefore, the factors of 2019 are: 1, 3, 673, 2019.
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 2019 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2019 ÷ 3 = 673
673 ÷ 673 = 1
The prime factors of 2019 are 3 and 673.
The prime factorization of 2019 is: 3 × 673.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2019 is divided by 3 to get 673. Here, 673 is a prime number and cannot be divided anymore.
So, the prime factorization of 2019 is: 3 × 673.
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 2019: (1, 2019), (3, 673).
Negative factor pairs of 2019: (-1, -2019), (-3, -673).
Common Mistakes and How to Avoid Them in Factors of 2019
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 2019, 1 and 2019 is also a factor.
Factors of 2019 Examples
Problem 1
A theater has 2019 seats and 3 sections. How many seats are there in each section?
Each section has 673 seats.
Explanation
To divide the seats equally among sections, we divide the total seats by the number of sections.
2019/3 = 673
Problem 2
A rectangular garden has a length of 3 meters and an area of 2019 square meters. What is the width?
673 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2019 = 3 × width
To find the value of width, we need to shift 3 to the left side.
2019/3 = width
Width = 673.
Problem 3
A baker has 2019 cookies and wants to pack them into boxes containing 673 cookies each. How many boxes will he need?
3 boxes.
Explanation
To determine how many boxes are needed, divide the total number of cookies by the number of cookies per box.
2019/673 = 3
Problem 4
A school has 2019 students and wants to create groups of 3 students each for a project. How many groups can be formed?
673 groups.
Explanation
Dividing the total number of students by the number of students per group gives the number of groups.
2019/3 = 673
Problem 5
2019 books need to be distributed equally across 673 shelves. How many books will go on each shelf?
Each shelf will have 3 books.
Explanation
Divide the total number of books by the number of shelves.
2019/673 = 3
FAQs on Factors of 2019
1.What are the factors of 2019?
2.Mention the prime factors of 2019.
3.Is 2019 a multiple of 3?
4.Mention the factor pairs of 2019.
5.What is the square of 2019?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2019?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2019 with numbers?
8.What role do numbers and Factors of 2019 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 2019 skills?
Important Glossaries for Factors of 2019
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2019 are 1, 3, 673, and 2019.
- Prime factors: The factors which are prime numbers. For example, 3 and 673 are prime factors of 2019.
- 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 2019 are (1, 2019) and (3, 673).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 2019 is 3 × 673.
- Multiples: Numbers that can be divided by another number with no remainder. For example, 2019 is a multiple of 3.
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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.
