100 LearnersLast updated on May 26th, 2025
Factors of 2012
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 2012, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2012?
The numbers that divide 2012 evenly are known as factors of 2012.
A factor of 2012 is a number that divides the number without a remainder.
The factors of 2012 are 1, 2, 3, 4, 503, 1006, and 2012.
Negative factors of 2012: -1, -2, -3, -4, -503, -1006, and -2012.
Prime factors of 2012: 2 and 503.
Prime factorization of 2012: 22 × 503.
The sum of factors of 2012: 1 + 2 + 3 + 4 + 503 + 1006 + 2012 = 3531
How to Find Factors of 2012?
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 2012. Identifying the numbers which are multiplied to get the number 2012 is the multiplication method.
Step 1: Multiply 2012 by 1, 2012 × 1 = 2012.
Step 2: Check for other numbers that give 2012 after multiplying
2 × 1006 = 2012
4 × 503 = 2012
Therefore, the positive factor pairs of 2012 are: (1, 2012), (2, 1006), and (4, 503).
All these factor pairs result in 2012.
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 2012 by 1, 2012 ÷ 1 = 2012.
Step 2: Continue dividing 2012 by the numbers until the remainder becomes 0.
2012 ÷ 1 = 2012
2012 ÷ 2 = 1006
2012 ÷ 3 = 670.6667 (not a factor)
2012 ÷ 4 = 503
Therefore, the factors of 2012 are: 1, 2, 4, 503, 1006, 2012.
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 2012 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2012 ÷ 2 = 1006
1006 ÷ 2 = 503
503 ÷ 503 = 1
The prime factors of 2012 are 2 and 503.
The prime factorization of 2012 is: 22 × 503.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2012 is divided by 2 to get 1006.
Step 2: Now divide 1006 by 2 to get 503.
Step 3: Here, 503 is a prime number that cannot be divided anymore.
So, the prime factorization of 2012 is: 22 × 503.
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 2012: (1, 2012), (2, 1006), (4, 503).
Negative factor pairs of 2012: (-1, -2012), (-2, -1006), (-4, -503).
Common Mistakes and How to Avoid Them in Factors of 2012
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 2012, 1 and 2012 are also factors.
Factors of 2012 Examples
Problem 1
There are 4 friends and 2012 marbles. How will they divide them equally?
They will get 503 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
2012/4 = 503
Problem 2
A rectangular garden has a length of 1006 meters and a total area of 2012 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2012 = 1006 × width
To find the value of width, we need to shift 1006 to the left side.
2012/1006 = width
Width = 2.
Problem 3
There are 503 gift bags and 2012 candies. How many candies will be in each bag?
Each bag will have 4 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
2012/503 = 4
Problem 4
In a school, there are 2012 students, and 2 buses. How many students are there in each bus?
There are 1006 students in each bus.
Explanation
Dividing the students by the total number of buses, we will get the number of students in each bus.
2012/2 = 1006
Problem 5
2012 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 503 books.
Explanation
Divide total books by the number of shelves.
2012/4 = 503
FAQs on Factors of 2012
1.What are the factors of 2012?
2.Mention the prime factors of 2012.
3.Is 2012 a multiple of 4?
4.Mention the factor pairs of 2012?
5.What is the square of 2012?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2012?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2012 with numbers?
8.What role do numbers and Factors of 2012 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 2012 skills?
Important Glossaries for Factor of 2012
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2012 are 1, 2, 4, 503, 1006, and 2012.
- Prime factors: The factors which are prime numbers. For example, 2 and 503 are prime factors of 2012.
- 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 2012 are (1, 2012), (2, 1006), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2012 is 22 × 503.
- Negative factors: These are factors of a number that are negative. For instance, the negative factors of 2012 include -1, -2, -4, -503, -1006, and -2012.
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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.
