100 LearnersLast updated on May 26th, 2025
Factors of 2007
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 2007, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2007?
The numbers that divide 2007 evenly are known as factors of 2007.
A factor of 2007 is a number that divides the number without a remainder.
The factors of 2007 are 1, 3, 669, and 2007.
Negative factors of 2007: -1, -3, -669, and -2007.
Prime factors of 2007: 3 and 669 (where 669 can be further factorized into 3 × 223).
Prime factorization of 2007: 3 × 223.
The sum of factors of 2007: 1 + 3 + 669 + 2007 = 2680
How to Find Factors of 2007?
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 2007. Identifying the numbers which are multiplied to get the number 2007 is the multiplication method.
Step 1: Multiply 2007 by 1, 2007 × 1 = 2007.
Step 2: Check for other numbers that give 2007 after multiplying 3 × 669 = 2007
Therefore, the positive factor pairs of 2007 are: (1, 2007) and (3, 669).
All these factor pairs result in 2007.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 2007 by 1, 2007 ÷ 1 = 2007.
Step 2: Continue dividing 2007 by the numbers until the remainder becomes 0.
2007 ÷ 1 = 2007
2007 ÷ 3 = 669
Therefore, the factors of 2007 are: 1, 3, 669, and 2007.
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 2007 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2007 ÷ 3 = 669
669 ÷ 3 = 223
223 is a prime number and cannot be divided further.
The prime factors of 2007 are 3 and 223.
The prime factorization of 2007 is: 3 × 223.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2007 is divided by 3 to get 669.
Step 2: Now divide 669 by 3 to get 223. Here, 223 is a prime number and cannot be divided anymore.
So, the prime factorization of 2007 is: 3 × 223.
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 2007: (1, 2007) and (3, 669).
Negative factor pairs of 2007: (-1, -2007) and (-3, -669).
Common Mistakes and How to Avoid Them in Factors of 2007
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
People might forget to add the given number itself and 1 as factors. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 2007, 1 and 2007 are also factors.
Factors of 2007 Examples
Problem 1
There are 3 teams and 2007 points. How will they distribute it equally among the teams?
Each team will get 669 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
2007/3 = 669
Problem 2
A conference room can seat 223 people, and there are 2007 attendees. How many full sessions will be needed?
9 full sessions will be needed.
Explanation
To find the number of full sessions needed, divide the total attendees by the conference room capacity.
2007/223 = 9
Problem 3
There are 2007 tickets and 669 attendees. How many tickets will each attendee receive if distributed equally?
Each attendee will receive 3 tickets.
Explanation
To find the tickets each attendee receives, divide the total tickets by the number of attendees.
2007/669 = 3
Problem 4
A large cake is cut into 2007 pieces, and each guest gets 3 pieces. How many guests are there in total?
There are 669 guests in total.
Explanation
Dividing the total cake pieces by the pieces each guest gets will give the total number of guests.
2007/3 = 669
Problem 5
2007 books are to be organized in a library with each shelf holding 223 books. How many shelves are needed?
9 shelves are needed.
Explanation
Divide the total books by the number of books each shelf can hold.
2007/223 = 9
FAQs on Factors of 2007
1.What are the factors of 2007?
2.Mention the prime factors of 2007.
3.Is 2007 a multiple of 3?
4.Mention the factor pairs of 2007?
5.What is the square of 2007?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2007?
7.What are some fun ways kids in Vietnam can practice Factors of 2007 with numbers?
8.What role do numbers and Factors of 2007 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2007 skills?
Important Glossaries for Factors of 2007
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2007 are 1, 3, 669, and 2007.
- Prime factors: The factors which are prime numbers. For example, 3 and 223 are prime factors of 2007.
- 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 2007 are (1, 2007) and (3, 669).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 2007 is 3 × 223.
- Negative factors: The negative counterparts of a number's factors. For example, -1, -3, -669, and -2007 are negative factors of 2007.
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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.
