120 LearnersLast updated on May 26th, 2025
Factors of 5280
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.
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
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
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.
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.
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.
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).
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
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 word. Always remember to include 1 and the number itself.
For example, in factors of 5280, 1 and 5280 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, The factors of 5280 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 5280/1.5 = 3520, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 5280 are prime numbers.
For example, 2, 3, 5, and 11 are the prime factors of 5280, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 5280 as 25 × 3 × 5 × 11 and missing all the key factors.
Factors of 5280 Examples
Problem 1
There are 22 students and 5280 candies. How will they divide it equally?
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
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?
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.
Problem 3
There are 48 bags and 5280 marbles. How many marbles will be in each bag?
Each bag will have 110 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
5280/48 = 110
Problem 4
In a class, there are 5280 students, and 88 groups. How many students are there in each group?
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
Problem 5
5280 books need to be arranged in 132 shelves. How many books will go on each shelf?
Each of the shelves has 40 books.
Explanation
Divide total books by shelves.
5280/132 = 40
FAQs on Factors of 5280
1.What are the factors of 5280?
2.Mention the prime factors of 5280.
3.Is 5280 a multiple of 11?
4.Mention the factor pairs of 5280?
5.What is the square of 5280?
6.How can children in Qatar use numbers in everyday life to understand Factors of 5280?
7.What are some fun ways kids in Qatar can practice Factors of 5280 with numbers?
8.What role do numbers and Factors of 5280 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 5280 skills?
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
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.
