102 LearnersLast updated on May 26th, 2025
Factors of 7560
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 7560, how they are used in real life, and tips to learn them quickly.
What are the Factors of 7560?
The numbers that divide 7560 evenly are known as factors of 7560.
A factor of 7560 is a number that divides the number without remainder.
The factors of 7560 include numbers such as 1, 2, 3, 4, 5, 6, etc., up to 7560 itself.
Calculating all factors requires factorization methods.
Negative factors of 7560: -1, -2, -3, -4, -5, -6, etc., up to -7560.
Prime factors of 7560: 2, 3, 5, 7, and 9.
Prime factorization of 7560: 2³ × 3³ × 5 × 7.
The sum of factors of 7560: This can be calculated by adding all the factors of 7560.
How to Find Factors of 7560?
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 7560. Identifying the numbers which are multiplied to get the number 7560 is the multiplication method.
Step 1: Multiply 7560 by 1, 7560 × 1 = 7560.
Step 2: Check for other numbers that give 7560 after multiplying
2 × 3780 = 7560
3 × 2520 = 7560
4 × 1890 = 7560
5 × 1512 = 7560
Therefore, the positive factor pairs of 7560 are: (1, 7560), (2, 3780), (3, 2520), (4, 1890), (5, 1512), etc.
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 the simple division method:
Step 1: Divide 7560 by 1, 7560 ÷ 1 = 7560.
Step 2: Continue dividing 7560 by the numbers until the remainder becomes 0.
7560 ÷ 1 = 7560
7560 ÷ 2 = 3780
7560 ÷ 3 = 2520
7560 ÷ 4 = 1890
7560 ÷ 5 = 1512
Therefore, the factors of 7560 are: 1, 2, 3, 4, 5, 6, etc., up to 7560.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 7560 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
7560 ÷ 2 = 3780
3780 ÷ 2 = 1890
1890 ÷ 2 = 945
945 ÷ 3 = 315
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 7560 are 2, 3, 5, and 7.
The prime factorization of 7560 is: 2³ × 3³ × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 7560 is divided by 2 to get 3780.
Step 2: Now divide 3780 by 2 to get 1890.
Step 3: Then divide 1890 by 2 to get 945.
Step 4: Divide 945 by 3 to get 315.
Step 5: Divide 315 by 3 to get 105.
Step 6: Divide 105 by 3 to get 35.
Step 7: Divide 35 by 5 to get 7.
Step 8: Divide 7 by 7 to get 1. Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 7560 is: 2³ × 3³ × 5 × 7.
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 7560: (1, 7560), (2, 3780), (3, 2520), (4, 1890), (5, 1512), etc.
Negative factor pairs of 7560: (-1, -7560), (-2, -3780), (-3, -2520), (-4, -1890), (-5, -1512), etc.
Common Mistakes and How to Avoid Them in Factors of 7560
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 7560, 1 and 7560 is also a factor.
Factors of 7560 Examples
Problem 1
There are 9 students and 7560 candies. How will they divide it equally?
They will get 840 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
7560/9 = 840
Problem 2
A garden is rectangular, the length of the garden is 84 meters and the total area is 7560 square meters. Find the width?
90 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
7560 = 84 × width
To find the value of width, we need to shift 84 to the left side.
7560/84 = width
Width = 90.
Problem 3
There are 18 boxes and 7560 pencils. How many pencils will be in each box?
Each box will have 420 pencils.
Explanation
To find the pencils in each box, divide the total pencils with the boxes.
7560/18 = 420
Problem 4
In a conference, there are 7560 attendees, and 15 breakout sessions. How many attendees are there in each session?
There are 504 attendees in each session.
Explanation
Dividing the attendees with the total sessions, we will get the number of attendees in each session.
7560/15 = 504
Problem 5
7560 booklets need to be distributed among 10 tables. How many booklets will go on each table?
Each of the tables has 756 booklets.
Explanation
Divide total booklets with tables.
7560/10 = 756
FAQs on Factors of 7560
1.What are the factors of 7560?
2.Mention the prime factors of 7560.
3.Is 7560 a multiple of 6?
4.Mention the factor pairs of 7560?
5.What is the square of 7560?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 7560?
7.What are some fun ways kids in Indonesia can practice Factors of 7560 with numbers?
8.What role do numbers and Factors of 7560 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 7560 skills?
Important Glossaries for Factor of 7560
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7560 include numbers such as 1, 2, 3, 4, 5, 6, etc., up to 7560 itself.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 7560.
- 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 7560 include (1, 7560), (2, 3780), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 7560 is 2³ × 3³ × 5 × 7.
- Multiplication method: A method to find factor pairs by identifying numbers that multiply together to form the original number. For example, 2 × 3780 = 7560 is a factor pair.
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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
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