101 LearnersLast updated on May 26th, 2025
Factors of 9360
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 9360, how they are used in real life, and tips to learn them quickly.
What are the Factors of 9360?
The numbers that divide 9360 evenly are known as factors of 9360.
A factor of 9360 is a number that divides the number without remainder.
The factors of 9360 include 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 31, 36, 39, 40, 52, 60, 62, 65, 72, 78, 80, 93, 104, 117, 120, 130, 156, 169, 180, 186, 195, 208, 234, 260, 312, 338, 360, 390, 403, 468, 520, 585, 624, 676, 780, 806, 936, 1014, 1170, 1248, 1352, 1560, 1690, 1872, 2013, 2340, 2600, 2808, 3120, 3380, 4030, 4680, and 9360.
Negative factors of 9360: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -13, -15, -16, -18, -20, -24, -26, -30, -31, -36, -39, -40, -52, -60, -62, -65, -72, -78, -80, -93, -104, -117, -120, -130, -156, -169, -180, -186, -195, -208, -234, -260, -312, -338, -360, -390, -403, -468, -520, -585, -624, -676, -780, -806, -936, -1014, -1170, -1248, -1352, -1560, -1690, -1872, -2013, -2340, -2600, -2808, -3120, -3380, -4030, -4680, and -9360.
Prime factors of 9360: 2, 3, 5, 13, 31.
Prime factorization of 9360: 24 × 3 × 5 × 13 × 31.
The sum of factors of 9360: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 16 + 18 + 20 + 24 + 26 + 30 + 31 + 36 + 39 + 40 + 52 + 60 + 62 + 65 + 72 + 78 + 80 + 93 + 104 + 117 + 120 + 130 + 156 + 169 + 180 + 186 + 195 + 208 + 234 + 260 + 312 + 338 + 360 + 390 + 403 + 468 + 520 + 585 + 624 + 676 + 780 + 806 + 936 + 1014 + 1170 + 1248 + 1352 + 1560 + 1690 + 1872 + 2013 + 2340 + 2600 + 2808 + 3120 + 3380 + 4030 + 4680 + 9360 = 35380
How to Find Factors of 9360?
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 9360. Identifying the numbers which are multiplied to get the number 9360 is the multiplication method.
Step 1: Multiply 9360 by 1, 9360 × 1 = 9360.
Step 2: Check for other numbers that give 9360 after multiplying
2 × 4680 = 9360
3 × 3120 = 9360
4 × 2340 = 9360
5 × 1872 = 9360
6 × 1560 = 9360
8 × 1170 = 9360
9 × 1040 = 9360
10 × 936 = 9360
12 × 780 = 9360
13 × 720 = 9360
15 × 624 = 9360
16 × 585 = 9360
18 × 520 = 9360
20 × 468 = 9360
24 × 390 = 9360
26 × 360 = 9360
30 × 312 = 9360
31 × 302 = 9360
36 × 260 = 9360
39 × 240 = 9360
40 × 234 = 9360
52 × 180 = 9360
60 × 156 = 9360
62 × 150 = 9360
65 × 144 = 9360
72 × 130 = 9360
78 × 120 = 9360
80 × 117 = 9360
93 × 100 = 9360
104 × 90 = 9360
117 × 80 = 9360
120 × 78 = 9360
130 × 72 = 9360
144 × 65 = 9360
150 × 62 = 9360
156 × 60 = 9360
180 × 52 = 9360
234 × 40 = 9360
260 × 36 = 9360
302 × 31 = 9360
312 × 30 = 9360
360 × 26 = 9360
390 × 24 = 9360
468 × 20 = 9360
520 × 18 = 9360
585 × 16 = 9360
624 × 15 = 9360
720 × 13 = 9360
780 × 12 = 9360
936 × 10 = 9360
1040 × 9 = 9360
1170 × 8 = 9360
1560 × 6 = 9360
1872 × 5 = 9360
2340 × 4 = 9360
3120 × 3 = 9360
4680 × 2 = 9360
9360 × 1 = 9360
Therefore, the positive factor pairs of 9360 are: (1, 9360), (2, 4680), (3, 3120), (4, 2340), (5, 1872), (6, 1560), (8, 1170), (9, 1040), (10, 936), (12, 780), (13, 720), (15, 624), (16, 585), (18, 520), (20, 468), (24, 390), (26, 360), (30, 312), (31, 302), (36, 260), (39, 240), (40, 234), (52, 180), (60, 156), (62, 150), (65, 144), (72, 130), (78, 120), (80, 117), (93, 100), (104, 90), (117, 80), (120, 78), (130, 72), (144, 65), (150, 62), (156, 60), (180, 52), (234, 40), (260, 36), (302, 31), (312, 30), (360, 26), (390, 24), (468, 20), (520, 18), (585, 16), (624, 15), (720, 13), (780, 12), (936, 10), (1040, 9), (1170, 8), (1560, 6), (1872, 5), (2340, 4), (3120, 3), (4680, 2), (9360, 1).
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 9360 by 1, 9360 ÷ 1 = 9360.
Step 2: Continue dividing 9360 by the numbers until the remainder becomes 0.
9360 ÷ 1 = 9360
9360 ÷ 2 = 4680
9360 ÷ 3 = 3120
9360 ÷ 4 = 2340
9360 ÷ 5 = 1872
9360 ÷ 6 = 1560
9360 ÷ 8 = 1170
9360 ÷ 9 = 1040
9360 ÷ 10 = 936
9360 ÷ 12 = 780
9360 ÷ 13 = 720
9360 ÷ 15 = 624
9360 ÷ 16 = 585
9360 ÷ 18 = 520
9360 ÷ 20 = 468
9360 ÷ 24 = 390
9360 ÷ 26 = 360
9360 ÷ 30 = 312
9360 ÷ 31 = 302
9360 ÷ 36 = 260
9360 ÷ 39 = 240
9360 ÷ 40 = 234
9360 ÷ 52 = 180
9360 ÷ 60 = 156
9360 ÷ 62 = 150
9360 ÷ 65 = 144
9360 ÷ 72 = 130
9360 ÷ 78 = 120
9360 ÷ 80 = 117
9360 ÷ 93 = 100
9360 ÷ 104 = 90
9360 ÷ 117 = 80
9360 ÷ 120 = 78
9360 ÷ 130 = 72
9360 ÷ 144 = 65
9360 ÷ 150 = 62
9360 ÷ 156 = 60
9360 ÷ 180 = 52
9360 ÷ 234 = 40
9360 ÷ 260 = 36
9360 ÷ 302 = 31
9360 ÷ 312 = 30
9360 ÷ 360 = 26
9360 ÷ 390 = 24
9360 ÷ 468 = 20
9360 ÷ 520 = 18
9360 ÷ 585 = 16
9360 ÷ 624 = 15
9360 ÷ 720 = 13
9360 ÷ 780 = 12
9360 ÷ 936 = 10
9360 ÷ 1040 = 9
9360 ÷ 1170 = 8
9360 ÷ 1560 = 6
9360 ÷ 1872 = 5
9360 ÷ 2340 = 4
9360 ÷ 3120 = 3
9360 ÷ 4680 = 2
9360 ÷ 9360 = 1
Therefore, the factors of 9360 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 31, 36, 39, 40, 52, 60, 62, 65, 72, 78, 80, 93, 104, 117, 120, 130, 156, 169, 180, 186, 195, 208, 234, 260, 312, 338, 360, 390, 403, 468, 520, 585, 624, 676, 780, 806, 936, 1014, 1170, 1248, 1352, 1560, 1690, 1872, 2013, 2340, 2600, 2808, 3120, 3380, 4030, 4680, 9360.
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 9360 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
9360 ÷ 2 = 4680
4680 ÷ 2 = 2340
2340 ÷ 2 = 1170
1170 ÷ 2 = 585
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
The prime factors of 9360 are 2, 3, 5, 13, and 31.
The prime factorization of 9360 is: 24 × 3 × 5 × 13 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 9360 is divided by 2 to get 4680.
Step 2: Now divide 4680 by 2 to get 2340.
Step 3: Then divide 2340 by 2 to get 1170.
Step 4: Divide 1170 by 2 to get 585.
Step 5: Divide 585 by 3 to get 195.
Step 6: Divide 195 by 3 to get 65.
Step 7: Divide 65 by 5 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 9360 is: 24 × 3 × 5 × 13 × 31.
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 9360 include (1, 9360), (2, 4680), (3, 3120), (4, 2340), (5, 1872), (6, 1560), (8, 1170), (9, 1040), (10, 936), (12, 780), (13, 720), (15, 624), (16, 585), (18, 520), (20, 468), (24, 390), (26, 360), (30, 312), (31, 302), (36, 260), (39, 240), (40, 234), (52, 180), (60, 156), (62, 150), (65, 144), (72, 130), (78, 120), (80, 117), (93, 100), (104, 90), (117, 80), (120, 78), (130, 72), (144, 65), (150, 62), (156, 60), (180, 52), (234, 40), (260, 36), (302, 31), (312, 30), (360, 26), (390, 24), (468, 20), (520, 18), (585, 16), (624, 15), (720, 13), (780, 12), (936, 10), (1040, 9), (1170, 8), (1560, 6), (1872, 5), (2340, 4), (3120, 3), (4680, 2), (9360, 1).
Negative factor pairs of 9360: (-1, -9360), (-2, -4680), (-3, -3120), (-4, -2340), (-5, -1872), (-6, -1560), (-8, -1170), (-9, -1040), (-10, -936), (-12, -780), (-13, -720), (-15, -624), (-16, -585), (-18, -520), (-20, -468), (-24, -390), (-26, -360), (-30, -312), (-31, -302), (-36, -260), (-39, -240), (-40, -234), (-52, -180), (-60, -156), (-62, -150), (-65, -144), (-72, -130), (-78, -120), (-80, -117), (-93, -100), (-104, -90), (-117, -80), (-120, -78), (-130, -72), (-144, -65), (-150, -62), (-156, -60), (-180, -52), (-234, -40), (-260, -36), (-302, -31), (-312, -30), (-360, -26), (-390, -24), (-468, -20), (-520, -18), (-585, -16), (-624, -15), (-720, -13), (-780, -12), (-936, -10), (-1040, -9), (-1170, -8), (-1560, -6), (-1872, -5), (-2340, -4), (-3120, -3), (-4680, -2), (-9360, -1).
Common Mistakes and How to Avoid Them in Factors of 9360
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 9360, 1 and 9360 is also a factor.
Factors of 9360 Examples
Problem 1
There are 9 teams and 9360 trophies. How will they divide it equally?
Each team will get 1040 trophies.
Explanation
To divide the trophies equally, we need to divide the total trophies by the number of teams.
9360/9 = 1040
Problem 2
A warehouse has a rectangular floor, the length of the floor is 312 meters, and the total area is 9360 square meters. Find the width.
The width is 30 meters.
Explanation
To find the width of the floor, we use the formula,
Area = length × width
9360 = 312 × width
To find the value of width, we need to shift 312 to the left side.
9360/312 = width
Width = 30.
Problem 3
There are 13 trucks and 9360 boxes. How many boxes will be in each truck?
Each truck will have 720 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
9360/13 = 720
Problem 4
In a theater, there are 9360 seats, and 15 sections. How many seats are there in each section?
There are 624 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
9360/15 = 624
Problem 5
9360 books need to be arranged in 24 shelves. How many books will go on each shelf?
Each of the shelves has 390 books.
Explanation
Divide total books by shelves.
9360/24 = 390
FAQs on Factors of 9360
1.What are the factors of 9360?
2.Mention the prime factors of 9360.
3.Is 9360 a multiple of 12?
4.Mention the factor pairs of 9360?
5.What is the square of 9360?
6.How can children in Qatar use numbers in everyday life to understand Factors of 9360?
7.What are some fun ways kids in Qatar can practice Factors of 9360 with numbers?
8.What role do numbers and Factors of 9360 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 9360 skills?
Important Glossaries for Factors of 9360
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9360 include 1, 2, 3, 4, 5, 6, 9, 13, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, 13, and 31 are prime factors of 9360.
- 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 9360 include (1, 9360), (2, 4680), (3, 3120), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 9360 is 2^4 × 3 × 5 × 13 × 31.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number, such as identifying the pairs for 9360.
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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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