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Last updated on May 26th, 2025

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Factors of 5280

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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 5280, how they are used in real life, and tips to learn them quickly.

Factors of 5280 for Qatari Students
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What are the Factors of 5280?

The numbers that divide 5280 evenly are known as factors of 5280.

 

A factor of 5280 is a number that divides the number without remainder.

 

The factors of 5280 include 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 176, 192, 220, 240, 264, 330, 352, 384, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2640, and 5280.

 

Negative factors of 5280: -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -16, -20, -22, -24, -30, -32, -33, -40, -44, -48, -55, -60, -66, -80, -88, -96, -110, -120, -132, -160, -176, -192, -220, -240, -264, -330, -352, -384, -440, -480, -528, -660, -704, -880, -960, -1056, -1320, -1760, -2640, and -5280.

 

Prime factors of 5280: 2, 3, 5, and 11.

 

Prime factorization of 5280: (25 × 3 × 5 × 11).

 

The sum of factors of 5280: 17976

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How to Find Factors of 5280?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 5280. Identifying the numbers which are multiplied to get the number 5280 is the multiplication method.

 

Step 1: Multiply 5280 by 1, 5280 × 1 = 5280.

 

Step 2: Check for other numbers that give 5280 after multiplying: -

 

2 × 2640 = 5280

3 × 1760 = 5280

4 × 1320 = 5280

5 × 1056 = 5280

6 × 880 = 5280

8 × 660 = 5280

10 × 528 = 5280

11 × 480 = 5280

12 × 440 = 5280

15 × 352 = 5280

16 × 330 = 5280

20 × 264 = 5280

22 × 240 = 5280

24 × 220 = 5280

30 × 176 = 5280

32 × 165 = 5280

33 × 160 = 5280

40 × 132 = 5280

44 × 120 = 5280

48 × 110 = 5280

55 × 96 = 5280

60 × 88 = 5280

66 × 80 = 5280

 

Therefore, the positive factor pairs of 5280 are: (1, 5280), (2, 2640), (3, 1760), (4, 1320), (5, 1056), (6, 880), (8, 660), (10, 528), (11, 480), (12, 440), (15, 352), (16, 330), (20, 264), (22, 240), (24, 220), (30, 176), (32, 165), (33, 160), (40, 132), (44, 120), (48, 110), (55, 96), (60, 88), (66, 80).

 

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers 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 5280 by 1, 5280 ÷ 1 = 5280.

 

Step 2: Continue dividing 5280 by the numbers until the remainder becomes 0.

 

5280 ÷ 1 = 5280

5280 ÷ 2 = 2640

5280 ÷ 3 = 1760

5280 ÷ 4 = 1320

5280 ÷ 5 = 1056

5280 ÷ 6 = 880

5280 ÷ 8 = 660

5280 ÷ 10 = 528

5280 ÷ 11 = 480

5280 ÷ 12 = 440

5280 ÷ 15 = 352

5280 ÷ 16 = 330

5280 ÷ 20 = 264

5280 ÷ 22 = 240

5280 ÷ 24 = 220

5280 ÷ 30 = 176

5280 ÷ 32 = 165

5280 ÷ 33 = 160

5280 ÷ 40 = 132

5280 ÷ 44 = 120

5280 ÷ 48 = 110

5280 ÷ 55 = 96

5280 ÷ 60 = 88

5280 ÷ 66 = 80

 

Therefore, the factors of 5280 include: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 176, 192, 220, 240, 264, 330, 352, 384, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2640, and 5280.

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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 5280 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

 

5280 ÷ 2 = 2640

2640 ÷ 2 = 1320

1320 ÷ 2 = 660

660 ÷ 2 = 330

330 ÷ 2 = 165

165 ÷ 3 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

 

The prime factors of 5280 are 2, 3, 5, and 11.

 

The prime factorization of 5280 is: 25 × 3 × 5 × 11.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:

 

Step 1: Firstly, 5280 is divided by 2 to get 2640.

 

Step 2: Now divide 2640 by 2 to get 1320.

 

Step 3: Then divide 1320 by 2 to get 660.

 

Step 4: Divide 660 by 2 to get 330.

 

Step 5: Divide 330 by 2 to get 165.

 

Step 6: Divide 165 by 3 to get 55.

 

Step 7: Divide 55 by 5 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 5280 is: 25 × 3 × 5 × 11.

 

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 5280: (1, 5280), (2, 2640), (3, 1760), (4, 1320), (5, 1056), (6, 880), (8, 660), (10, 528), (11, 480), (12, 440), (15, 352), (16, 330), (20, 264), (22, 240), (24, 220), (30, 176), (32, 165), (33, 160), (40, 132), (44, 120), (48, 110), (55, 96), (60, 88), (66, 80).

 

Negative factor pairs of 5280: (-1, -5280), (-2, -2640), (-3, -1760), (-4, -1320), (-5, -1056), (-6, -880), (-8, -660), (-10, -528), (-11, -480), (-12, -440), (-15, -352), (-16, -330), (-20, -264), (-22, -240), (-24, -220), (-30, -176), (-32, -165), (-33, -160), (-40, -132), (-44, -120), (-48, -110), (-55, -96), (-60, -88), (-66, -80).

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Common Mistakes and How to Avoid Them in Factors of 5280

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

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Forgetting the number itself and 1 is a factor

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Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every word. Always remember to include 1 and the number itself.

 

For example, in factors of 5280, 1 and 5280 are also factors.

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Factors of 5280 Examples

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Problem 1

There are 22 students and 5280 candies. How will they divide it equally?

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They will get 240 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of students.

 

5280/22 = 240

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Problem 2

A garden is rectangular, the length of the garden is 55 meters and the total area is 5280 square meters. Find the width?

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96 meters.

Explanation

To find the width of the garden, we use the formula,

 

Area = length × width

 

5280 = 55 × width

 

To find the value of width, we need to shift 55 to the left side.

 

5280/55 = width

 

Width = 96.

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Problem 3

There are 48 bags and 5280 marbles. How many marbles will be in each bag?

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Each bag will have 110 marbles.

Explanation

To find the marbles in each bag, divide the total marbles by the bags.

 

5280/48 = 110

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Problem 4

In a class, there are 5280 students, and 88 groups. How many students are there in each group?

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There are 60 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

 

5280/88 = 60

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Problem 5

5280 books need to be arranged in 132 shelves. How many books will go on each shelf?

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Each of the shelves has 40 books.

Explanation

Divide total books by shelves.

 

5280/132 = 40

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FAQs on Factors of 5280

1.What are the factors of 5280?

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2.Mention the prime factors of 5280.

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3.Is 5280 a multiple of 11?

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4.Mention the factor pairs of 5280?

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5.What is the square of 5280?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 5280?

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7.What are some fun ways kids in Qatar can practice Factors of 5280 with numbers?

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8.What role do numbers and Factors of 5280 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 5280 skills?

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Important Glossaries for Factors of 5280

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 176, 192, 220, 240, 264, 330, 352, 384, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2640, and 5280.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 11 are prime factors of 5280.
     
  • 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 5280 are (1, 5280), (2, 2640), etc.
     
  • Prime factorization: The process of breaking down a number into prime numbers that multiply to the original number. For example, the prime factorization of 5280 is 25 × 3 × 5 × 11.
     
  • Division method: A method for finding factors by dividing the number by integers to check for a zero remainder. For example, dividing 5280 by its factors results in whole numbers.
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About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 5280 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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