103 LearnersLast updated on May 26th, 2025
Factors of 2010
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 2010, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2010?
The numbers that divide 2010 evenly are known as factors of 2010.
A factor of 2010 is a number that divides the number without a remainder.
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, and 2010.
Negative factors of 2010: -1, -2, -3, -5, -6, -10, -15, -30, -67, -134, -201, -335, -402, -670, -1005, and -2010.
Prime factors of 2010: 2, 3, 5, and 67.
Prime factorization of 2010: 2 × 3 × 5 × 67.
The sum of factors of 2010: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 67 + 134 + 201 + 335 + 402 + 670 + 1005 + 2010 = 4896.
How to Find Factors of 2010?
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 2010. Identifying the numbers which are multiplied to get the number 2010 is the multiplication method.
Step 1: Multiply 2010 by 1, 2010 × 1 = 2010.
Step 2: Check for other numbers that give 2010 after multiplying
2 × 1005 = 2010
3 × 670 = 2010
5 × 402 = 2010
6 × 335 = 2010
10 × 201 = 2010
15 × 134 = 2010
30 × 67 = 2010
Therefore, the positive factor pairs of 2010 are: (1, 2010), (2, 1005), (3, 670), (5, 402), (6, 335), (10, 201), (15, 134), and (30, 67).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2010 by 1, 2010 ÷ 1 = 2010.
Step 2: Continue dividing 2010 by the numbers until the remainder becomes 0.
2010 ÷ 1 = 2010
2010 ÷ 2 = 1005
2010 ÷ 3 = 670
2010 ÷ 5 = 402
2010 ÷ 6 = 335
2010 ÷ 10 = 201
2010 ÷ 15 = 134
2010 ÷ 30 = 67
Therefore, the factors of 2010 are: 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, and 2010.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 2010 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2010 ÷ 2 = 1005
1005 ÷ 3 = 335
335 ÷ 5 = 67
67 ÷ 67 = 1
The prime factors of 2010 are 2, 3, 5, and 67.
The prime factorization of 2010 is: 2 × 3 × 5 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2010 is divided by 2 to get 1005.
Step 2: Now divide 1005 by 3 to get 335.
Step 3: Then divide 335 by 5 to get 67.
Step 4: 67 is a prime number, so it cannot be divided further.
So, the prime factorization of 2010 is: 2 × 3 × 5 × 67.
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 2010: (1, 2010), (2, 1005), (3, 670), (5, 402), (6, 335), (10, 201), (15, 134), and (30, 67).
Negative factor pairs of 2010: (-1, -2010), (-2, -1005), (-3, -670), (-5, -402), (-6, -335), (-10, -201), (-15, -134), and (-30, -67).
Common Mistakes and How to Avoid Them in Factors of 2010
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 2010, 1 and 2010 are also factors.
Factors of 2010 Examples
Problem 1
There are 3 teams and 2010 points. How will they distribute the points equally?
They will get 670 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
2010/3 = 670
Problem 2
A garden is rectangular, the length of the garden is 5 meters and the total area is 2010 square meters. Find the width?
402 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2010 = 5 × width
To find the value of width, we need to shift 5 to the left side.
2010/5 = width
Width = 402.
Problem 3
There are 15 buses and 2010 passengers. How many passengers will be in each bus?
Each bus will have 134 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the buses.
2010/15 = 134
Problem 4
In an office, there are 2010 chairs, and 30 rooms. How many chairs are there in each room?
There are 67 chairs in each room.
Explanation
Dividing the chairs by the total rooms, we will get the number of chairs in each room.
2010/30 = 67
Problem 5
2010 apples need to be packed in 10 boxes. How many apples will go in each box?
Each of the boxes has 201 apples.
Explanation
Divide total apples by boxes.
2010/10 = 201
FAQs on Factors of 2010
1.What are the factors of 2010?
2.Mention the prime factors of 2010.
3.Is 2010, a multiple of 5?
4.Mention the factor pairs of 2010?
5.What is the square of 2010?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2010?
7.What are some fun ways kids in Vietnam can practice Factors of 2010 with numbers?
8.What role do numbers and Factors of 2010 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2010 skills?
Important Glossaries for Factors of 2010
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, and 2010.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 67 are prime factors of 2010.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 2010 is 2 × 3 × 5 × 67.
- 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 2010 are (1, 2010), (2, 1005), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 2010 is a multiple of 5.
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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.
