101 LearnersLast updated on May 26th, 2025
Factors of 1006
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 1006, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1006?
The numbers that divide 1006 evenly are known as factors of 1006.
A factor of 1006 is a number that divides the number without remainder.
The factors of 1006 are 1, 2, 503, and 1006.
Negative factors of 1006: -1, -2, -503, and -1006.
Prime factors of 1006: 2 and 503.
Prime factorization of 1006: 2 × 503.
The sum of factors of 1006: 1 + 2 + 503 + 1006 = 1512
How to Find Factors of 1006?
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 1006. Identifying the numbers which are multiplied to get the number 1006 is the multiplication method.
Step 1: Multiply 1006 by 1, 1006 × 1 = 1006.
Step 2: Check for other numbers that give 1006 after multiplying 2 × 503 = 1006
Therefore, the positive factor pairs of 1006 are: (1, 1006) and (2, 503).
All these factor pairs result in 1006.
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 the simple division method:
Step 1: Divide 1006 by 1, 1006 ÷ 1 = 1006.
Step 2: Continue dividing 1006 by the numbers until the remainder becomes 0.
1006 ÷ 1 = 1006
1006 ÷ 2 = 503
Therefore, the factors of 1006 are: 1, 2, 503, 1006.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1006 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1006 ÷ 2 = 503
503 is a prime number, so we stop here.
The prime factors of 1006 are 2 and 503.
The prime factorization of 1006 is: 2 × 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, 1006 is divided by 2 to get 503.
Step 2: Since 503 is a prime number, it cannot be divided further. So, the prime factorization of 1006 is: 2 × 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 1006: (1, 1006) and (2, 503).
Negative factor pairs of 1006: (-1, -1006) and (-2, -503).
Common Mistakes and How to Avoid Them in Factors of 1006
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 1006, 1 and 1006 are also factors.
Factors of 1006 Examples
Problem 1
There are 4 friends and 1006 candies. How will they divide it equally?
They cannot divide it equally without splitting candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1006/4 = 251.5, which is not a whole number, so equal division is not possible without splitting.
Problem 2
A wall is rectangular, the height of the wall is 2 meters and the total area is 1006 square meters. Find the length?
503 meters.
Explanation
To find the length of the wall, we use the formula,
Area = length × height
1006 = length × 2
To find the value of length, we need to shift 2 to the left side.
1006/2 = length
Length = 503.
Problem 3
There are 503 books and 2 shelves. How many books will be on each shelf?
Each shelf will have 251.5 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
503/2 = 251.5, which means an equal distribution isn't possible without splitting.
Problem 4
A concert hall has 1006 seats and 2 sections. How many seats are there in each section?
Each section has 503 seats.
Explanation
Dividing the total seats by the number of sections, we get the number of seats in each section.
1006/2 = 503
Problem 5
1006 apples need to be packed into 503 baskets. How many apples will go in each basket?
Each basket will have 2 apples.
Explanation
Divide the total apples by the baskets.
1006/503 = 2
FAQs on Factors of 1006
1.What are the factors of 1006?
2.Mention the prime factors of 1006.
3.Is 1006 a multiple of 2?
4.Mention the factor pairs of 1006?
5.What is the square of 1006?
6.How can children in United States use numbers in everyday life to understand Factors of 1006?
7.What are some fun ways kids in United States can practice Factors of 1006 with numbers?
8.What role do numbers and Factors of 1006 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1006 skills?
Important Glossaries for Factor of 1006
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1006 are 1, 2, 503, and 1006.
- Prime factors: The factors which are prime numbers. For example, 2 and 503 are prime factors of 1006.
- 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 1006 are (1, 1006) and (2, 503).
- Multiplication method: A technique used to find factors by identifying number pairs that multiply to give the original number. For example, for 1006, using the pairs (1, 1006) and (2, 503).
- Division method: A way to find factors by dividing the original number by whole numbers until the remainder is zero. For 1006, this results in 1, 2, 503, and 1006 as factors.
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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.
