Last updated on May 26th, 2025
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 7200, how they are used in real life, and tips to learn them quickly.
The numbers that divide 7200 evenly are known as factors of 7200.
A factor of 7200 is a number that divides the number without remainder.
The factors of 7200 include numbers like 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 2400, 3600, and 7200.
Negative factors of 7200: The negative counterparts of the positive factors, such as -1, -2, -3, -4, etc.
Prime factors of 7200: 2, 3, and 5.
Prime factorization of 7200: 25 × 32 × 52.
The sum of factors of 7200: This is calculated by adding all the factors listed above.
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 7200. Identifying the numbers which are multiplied to get the number 7200 is the multiplication method.
Step 1: Multiply 7200 by 1, 7200 × 1 = 7200.
Step 2: Check for other numbers that give 7200 after multiplying. Examples: 2 × 3600 = 7200 3 × 2400 = 7200 4 × 1800 = 7200 Therefore, the positive factor pairs of 7200 include: (1, 7200), (2, 3600), (3, 2400), (4, 1800), etc.
For every positive factor, there is a negative factor.
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 the simple division method
Step 1: Divide 7200 by 1, 7200 ÷ 1 = 7200.
Step 2: Continue dividing 7200 by the numbers until the remainder becomes 0.
7200 ÷ 1 = 7200
7200 ÷ 2 = 3600
7200 ÷ 3 = 2400
7200 ÷ 4 = 1800
Therefore, the factors of 7200 include numbers like 1, 2, 3, 4, etc.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 7200 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
7200 ÷ 2 = 3600
3600 ÷ 2 = 1800
1800 ÷ 2 = 900
900 ÷ 2 = 450
450 ÷ 2 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 7200 are 2, 3, and 5.
The prime factorization of 7200 is: 25 × 32 × 52.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 7200 is divided by 2 to get 3600.
Step 2: Now divide 3600 by 2 to get 1800.
Step 3: Then divide 1800 by 2 to get 900.
Step 4: Divide 900 by 2 to get 450.
Step 5: Continue dividing by the smallest prime numbers until the end, using 3 and then 5. So, the prime factorization of 7200 is: 25 × 32 × 52.
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 7200: (1, 7200), (2, 3600), (3, 2400), etc.
Negative factor pairs of 7200: (-1, -7200), (-2, -3600), (-3, -2400), etc.
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 720 students and 7200 candies. How will they divide it equally?
They will get 10 candies each.
To divide the candies equally, we need to divide the total candies by the number of students.
7200/720 = 10
A garden is rectangular, the length of the garden is 60 meters and the total area is 7200 square meters. Find the width.
120 meters.
To find the width of the garden, we use the formula,
Area = length × width
7200 = 60 × width
To find the value of width, we need to shift 60 to the left side.
7200/60 = width
Width = 120.
There are 240 boxes and 7200 items. How many items will be in each box?
Each box will have 30 items.
To find the items in each box, divide the total items by the number of boxes.
7200/240 = 30
In a class, there are 720 students, and 36 groups. How many students are there in each group?
There are 20 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
720/36 = 20
7200 books need to be arranged in 80 shelves. How many books will go on each shelf?
Each of the shelves has 90 books.
Divide the total books by the number of shelves.
7200/80 = 90
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.