100 LearnersLast updated on May 26th, 2025
Factors of 9216
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 9216, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 9216?
The numbers that divide 9216 evenly are known as factors of 9216.
A factor of 9216 is a number that divides the number without remainder.
The factors of 9216 include numbers such as 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152, 2304, 4608, and 9216.
Negative factors of 9216: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -128, -144, -192, -288, -384, -576, -1152, -2304, -4608, and -9216.
Prime factors of 9216: 2 and 3.
Prime factorization of 9216: 210 × 32.
The sum of factors of 9216 can be calculated by adding all these factors.
How to Find Factors of 9216?
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 9216. Identifying the numbers which are multiplied to get the number 9216 is the multiplication method.
Some example pairs include:
1 × 9216 = 9216
2 × 4608 = 9216
3 × 3072 = 9216
4 × 2304 = 9216
6 × 1536 = 9216 ...and so on.
Therefore, the positive factor pairs of 9216 include: (1, 9216), (2, 4608), (3, 3072), (4, 2304), (6, 1536), etc.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 9216 by 1, 9216 ÷ 1 = 9216.
Step 2: Continue dividing 9216 by numbers until the remainder becomes 0.
9216 ÷ 1 = 9216
9216 ÷ 2 = 4608
9216 ÷ 3 = 3072
9216 ÷ 4 = 2304 ...and so on.
Therefore, the factors of 9216 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152, 2304, 4608, 9216.
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 9216 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
9216 ÷ 2 = 4608
4608 ÷ 2 = 2304
2304 ÷ 2 = 1152
1152 ÷ 2 = 576
576 ÷ 2 = 288
288 ÷ 2 = 144
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 9216 are 2 and 3.
The prime factorization of 9216 is: 210 × 32.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 9216 is divided by 2 to get 4608.
Step 2: Now divide 4608 by 2 to get 2304.
Step 3: Then divide 2304 by 2 to get 1152.
Step 4: Continue dividing by 2 until you reach 9, then divide by 3. Finally, 3 is divided by 3 to get 1.
So, the prime factorization of 9216 is: 210 × 32.
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 9216 include: (1, 9216), (2, 4608), (3, 3072), (4, 2304), (6, 1536), etc.
Negative factor pairs of 9216: (-1, -9216), (-2, -4608), (-3, -3072), (-4, -2304), (-6, -1536), etc.
Common Mistakes and How to Avoid Them in Factors of 9216
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 a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 9216, 1 and 9216 are also factors.
Factors of 9216 Examples
Problem 1
There are 12 teams participating in a sports event with 9216 tickets sold. How many tickets will each team get if distributed equally?
Each team will get 768 tickets.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams.
9216/12 = 768
Problem 2
An auditorium has 9216 seats. If 64 rows are filled equally, how many seats are there per row?
There are 144 seats per row.
Explanation
To find the number of seats per row, divide the total seats by the number of rows.
9216/64 = 144
Problem 3
A bakery has 9216 cupcakes to pack into boxes of 48. How many boxes are needed?
192 boxes are needed.
Explanation
To find the number of boxes, divide the total cupcakes by the number of cupcakes per box.
9216/48 = 192
Problem 4
A library has 9216 books, and they need to be sorted into 96 categories. How many books will be in each category?
There will be 96 books in each category.
Explanation
Dividing the books by the total categories, we will get the number of books in each category.
9216/96 = 96
Problem 5
A company is distributing 9216 workstations among 24 departments equally. How many workstations does each department receive?
Each department receives 384 workstations.
Explanation
Divide the total workstations by the number of departments.
9216/24 = 384
FAQs on Factors of 9216
1.What are the factors of 9216?
2.Mention the prime factors of 9216.
3.Is 9216 a multiple of 8?
4.Mention the factor pairs of 9216?
5.What is the square of 9216?
6.How can children in Qatar use numbers in everyday life to understand Factors of 9216?
7.What are some fun ways kids in Qatar can practice Factors of 9216 with numbers?
8.What role do numbers and Factors of 9216 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 9216 skills?
Important Glossaries for Factor of 9216
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9216 include 1, 2, 3, 4, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 9216.
- 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 9216 are (1, 9216), (2, 4608), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 9216 is 210 × 32.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 9216 is a multiple of 8.
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About BrightChamps in Qatar
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.
