121 LearnersLast updated on May 26th, 2025
Factors of 1012
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 1012, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1012?
The numbers that divide 1012 evenly are known as factors of 1012.
A factor of 1012 is a number that divides the number without remainder.
The factors of 1012 are 1, 2, 4, 11, 23, 44, 46, 92, 101, 202, 253, 404, 506, 1012.
Negative factors of 1012: -1, -2, -4, -11, -23, -44, -46, -92, -101, -202, -253, -404, -506, -1012.
Prime factors of 1012: 2, 11, and 23.
Prime factorization of 1012: 22 × 11 × 23.
The sum of factors of 1012: 1 + 2 + 4 + 11 + 23 + 44 + 46 + 92 + 101 + 202 + 253 + 404 + 506 + 1012 = 2701
How to Find Factors of 1012?
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 1012. Identifying the numbers which are multiplied to get the number 1012 is the multiplication method.
Step 1: Multiply 1012 by 1, 1012 × 1 = 1012.
Step 2: Check for other numbers that give 1012 after multiplying
2 × 506 = 1012
4 × 253 = 1012
11 × 92 = 1012
23 × 44 = 1012
Therefore, the positive factor pairs of 1012 are: (1, 1012), (2, 506), (4, 253), (11, 92), and (23, 44).
All these factor pairs result in 1012.
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 1012 by 1, 1012 ÷ 1 = 1012.
Step 2: Continue dividing 1012 by the numbers until the remainder becomes 0.
1012 ÷ 1 = 1012
1012 ÷ 2 = 506
1012 ÷ 4 = 253
1012 ÷ 11 = 92
1012 ÷ 23 = 44
Therefore, the factors of 1012 are: 1, 2, 4, 11, 23, 44, 46, 92, 101, 202, 253, 404, 506, 1012.
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 1012 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1012 ÷ 2 = 506
506 ÷ 2 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1
The prime factors of 1012 are 2, 11, and 23.
The prime factorization of 1012 is: 22 × 11 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1012 is divided by 2 to get 506.
Step 2: Now divide 506 by 2 to get 253.
Step 3: Then divide 253 by 11 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1012 is: 22 × 11 × 23.
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 1012: (1, 1012), (2, 506), (4, 253), (11, 92), and (23, 44).
Negative factor pairs of 1012: (-1, -1012), (-2, -506), (-4, -253), (-11, -92), and (-23, -44).
Common Mistakes and How to Avoid Them in Factors of 1012
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1012, 1 and 1012 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 1012 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1012/1.5 = 674.6667, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1012 are prime numbers.
For example, 2, 11, and 23 are the prime factors of 1012, but it has other factors like 4, 44.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 1012 as 22 × 11 × 23 and missing all the key factors.
Factors of 1012 Examples
Problem 1
There are 23 teachers and 1012 students. How many students per teacher if divided equally?
They will get 44 students each.
Explanation
To divide the students equally, we need to divide the total students by the number of teachers.
1012/23 = 44
Problem 2
A rectangular plot has a length of 46 meters and a total area of 1012 square meters. Find the width.
22 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1012 = 46 × width
To find the value of width, we need to shift 46 to the left side.
1012/46 = width
Width = 22.
Problem 3
There are 4 boxes and 1012 marbles. How many marbles will be in each box?
Each box will have 253 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1012/4 = 253
Problem 4
In a company, there are 1012 employees, and 92 teams. How many employees are there in each team?
There are 11 employees in each team.
Explanation
Dividing the employees by the total teams, we will get the number of employees in each team.
1012/92 = 11
Problem 5
1012 pages of a book need to be divided into chapters, with 44 pages per chapter. How many chapters will be there?
There will be 23 chapters.
Explanation
Divide total pages by pages per chapter.
1012/44 = 23
FAQs on Factors of 1012
1.What are the factors of 1012?
2.Mention the prime factors of 1012.
3.Is 1012 a multiple of 11?
4.Mention the factor pairs of 1012?
5.What is the square of 1012?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1012?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1012 with numbers?
8.What role do numbers and Factors of 1012 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 1012 skills?
Important Glossaries for Factor of 1012
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1012 are 1, 2, 4, 11, 23, 44, 46, 92, 101, 202, 253, 404, 506, and 1012.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 23 are prime factors of 1012.
- 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 1012 are (1, 1012), (2, 506), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1012 is 22 × 11 × 23.
- Multiple: A number that can be divided by another number without a remainder. For example, 1012 is a multiple of 11.
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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.
