Last updated on May 26th, 2025
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 207, how they are used in real life, and tips to learn them quickly.
The numbers that divide 207 evenly are known as factors of 207.
A factor of 207 is a number that divides the number without remainder.
The factors of 207 are 1, 3, 9, 23, 69, and 207.
Negative factors of 207: -1, -3, -9, -23, -69, and -207.
Prime factors of 207: 3 and 23.
Prime factorization of 207: 3 × 69, and 69 can be broken further to 3 × 23.
Thus, 3² × 23. The sum of factors of 207: 1 + 3 + 9 + 23 + 69 + 207 = 312
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 207. Identifying the numbers multiplied to get the number 207 is the multiplication method.
Step 1: Multiply 207 by 1, 207 × 1 = 207.
Step 2: Check for other numbers that give 207 after multiplying
3 × 69 = 207
9 × 23 = 207
Therefore, the positive factor pairs of 207 are: (1, 207), (3, 69), (9, 23).
All these factor pairs result in 207.
For every positive factor, there is a negative factor.
Dividing the given number by 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 207 by 1, 207 ÷ 1 = 207.
Step 2: Continue dividing 207 by the numbers until the remainder becomes 0.
207 ÷ 1 = 207
207 ÷ 3 = 69
207 ÷ 9 = 23
Therefore, the factors of 207 are: 1, 3, 9, 23, 69, 207.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 207 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
207 ÷ 3 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of 207 are 3 and 23.
The prime factorization of 207 is: 3² × 23.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 207 is divided by 3 to get 69.
Step 2: Now divide 69 by 3 to get 23.
Here, 23 is a prime number, so it cannot be divided further.
So, the prime factorization of 207 is: 3² × 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 207: (1, 207), (3, 69), (9, 23).
Negative factor pairs of 207: (-1, -207), (-3, -69), (-9, -23).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 9 students in a group project, and there are 207 pages to print. How many pages will each student print if divided equally?
Each student will print 23 pages.
To divide the pages equally, we need to divide the total pages by the number of students.
207/9 = 23
A rectangular plot has a length of 23 meters and a total area of 207 square meters. Find the width.
9 meters.
To find the width of the plot, we use the formula, Area = length × width
207 = 23 × width
To find the value of width, we need to rearrange the equation.
207/23 = width
Width = 9.
There are 3 classrooms with a total of 207 chairs. How many chairs are there in each classroom?
Each classroom has 69 chairs.
To find the number of chairs in each classroom, divide the total chairs by the number of classrooms.
207/3 = 69
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.
: She loves to read number jokes and games.