116 LearnersLast updated on May 28th, 2025
Factors of 1320
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 1320, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1320?
The numbers that divide 1320 evenly are known as factors of 1320.
A factor of 1320 is a number that divides the number without remainder.
The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320.
Negative factors of 1320: -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -20, -22, -24, -30, -33, -40, -44, -55, -60, -66, -88, -110, -120, -132, -165, -220, -264, -330, -440, -660, and -1320.
Prime factors of 1320: 2, 3, 5, and 11.
Prime factorization of 1320: 23× 3 × 5 × 11.
The sum of factors of 1320: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 20 + 22 + 24 + 30 + 33 + 40 + 44 + 55 + 60 + 66 + 88 + 110 + 120 + 132 + 165 + 220 + 264 + 330 + 440 + 660 + 1320 = 4032
How to Find Factors of 1320?
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 1320. Identifying the numbers which are multiplied to get the number 1320 is the multiplication method.
Step 1: Multiply 1320 by 1, 1320 × 1 = 1320.
Step 2: Check for other numbers that give 1320 after multiplying
2 × 660 = 1320
3 × 440 = 1320
4 × 330 = 1320
5 × 264 = 1320
6 × 220 = 1320
8 × 165 = 1320
10 × 132 = 1320
11 × 120 = 1320
12 × 110 = 1320
15 × 88 = 1320
20 × 66 = 1320
22 × 60 = 1320
24 × 55 = 1320
30 × 44 = 1320
33 × 40 = 1320
Therefore, the positive factor pairs of 1320 are: (1, 1320), (2, 660), (3, 440), (4, 330), (5, 264), (6, 220), (8, 165), (10, 132), (11, 120), (12, 110), (15, 88), (20, 66), (22, 60), (24, 55), (30, 44), and (33, 40).
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1320 by 1, 1320 ÷ 1 = 1320.
Step 2: Continue dividing 1320 by the numbers until the remainder becomes 0.
1320 ÷ 1 = 1320
1320 ÷ 2 = 660
1320 ÷ 3 = 440
1320 ÷ 4 = 330
1320 ÷ 5 = 264
1320 ÷ 6 = 220
1320 ÷ 8 = 165
1320 ÷ 10 = 132
1320 ÷ 11 = 120
1320 ÷ 12 = 110
1320 ÷ 15 = 88
1320 ÷ 20 = 66
1320 ÷ 22 = 60
1320 ÷ 24 = 55
1320 ÷ 30 = 44
1320 ÷ 33 = 40
Therefore, the factors of 1320 are: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320.
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 1320 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1320 ÷ 2 = 660
660 ÷ 2 = 330
330 ÷ 2 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 1320 are 2, 3, 5, and 11.
The prime factorization of 1320 is: 23 × 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, 1320 is divided by 2 to get 660.
Step 2: Now divide 660 by 2 to get 330.
Step 3: Then divide 330 by 2 to get 165.
Step 4: Divide 165 by 3 to get 55.
Step 5: Divide 55 by 5 to get 11.
Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1320 is: 23 × 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 1320: (1, 1320), (2, 660), (3, 440), (4, 330), (5, 264), (6, 220), (8, 165), (10, 132), (11, 120), (12, 110), (15, 88), (20, 66), (22, 60), (24, 55), (30, 44), and (33, 40).
Negative factor pairs of 1320: (-1, -1320), (-2, -660), (-3, -440), (-4, -330), (-5, -264), (-6, -220), (-8, -165), (-10, -132), (-11, -120), (-12, -110), (-15, -88), (-20, -66), (-22, -60), (-24, -55), (-30, -44), and (-33, -40).
Common Mistakes and How to Avoid Them in Factors of 1320
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1320, 1 and 1320 are also factors.
Factors of 1320 Examples
Problem 1
There are 22 friends and 1320 candies. How will they divide it equally?
They will get 60 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1320/22 = 60
Problem 2
A field is rectangular, the length of the field is 30 meters and the total area is 1320 square meters. Find the width?
44 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1320 = 30 × width
To find the value of width, we need to shift 30 to the left side.
1320/30 = width
Width = 44.
Problem 3
There are 11 bags and 1320 apples. How many apples will be in each bag?
Each bag will have 120 apples.
Explanation
To find the apples in each bag, divide the total apples by the bags.
1320/11 = 120
Problem 4
In a class, there are 1320 students, and 5 groups. How many students are there in each group?
There are 264 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1320/5 = 264
Problem 5
1320 books need to be arranged in 24 shelves. How many books will go on each shelf?
Each of the shelves has 55 books.
Explanation
Divide total books by shelves.
1320/24 = 55
FAQs on Factors of 1320
1.What are the factors of 1320?
2.Mention the prime factors of 1320.
3.Is 1320 a multiple of 4?
4.Mention the factor pairs of 1320?
5.What is the square of 1320?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1320?
7.What are some fun ways kids in Thailand can practice Factors of 1320 with numbers?
8.What role do numbers and Factors of 1320 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1320 skills?
Important Glossaries for Factors of 1320
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 11 are prime factors of 1320.
- Prime factorization: Breaking down a number into its prime factors. The prime factorization of 1320 is 23 × 3 × 5 × 11.
- 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 1320 are (1, 1320), (2, 660), etc.
- Multiples: A number is a multiple of another if it can be divided by that number without a remainder. For example, 1320 is a multiple of 4.
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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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