101 LearnersLast updated on May 26th, 2025
Factors of 1980
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 1980, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1980?
The numbers that divide 1980 evenly are known as factors of 1980.
A factor of 1980 is a number that divides the number without remainder.
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 180, 198, 220, 330, 396, 495, 660, 990, and 1980.
Negative factors of 1980: -1, -2, -3, -4, -5, -6, -9, -10, -11, -12, -15, -18, -20, -22, -30, -33, -36, -44, -45, -55, -60, -66, -90, -99, -110, -132, -180, -198, -220, -330, -396, -495, -660, -990, and -1980.
Prime factors of 1980: 2, 3, 5, and 11.
Prime factorization of 1980: 2² × 3² × 5 × 11.
The sum of factors of 1980: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 30 + 33 + 36 + 44 + 45 + 55 + 60 + 66 + 90 + 99 + 110 + 132 + 180 + 198 + 220 + 330 + 396 + 495 + 660 + 990 + 1980 = 6204.
How to Find Factors of 1980?
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 1980. Identifying the numbers which are multiplied to get the number 1980 is the multiplication method.
Step 1: Multiply 1980 by 1, 1980 × 1 = 1980.
Step 2: Check for other numbers that give 1980 after multiplying
2 × 990 = 1980
3 × 660 = 1980
4 × 495 = 1980
5 × 396 = 1980
6 × 330 = 1980
9 × 220 = 1980
10 × 198 = 1980
11 × 180 = 1980
12 × 165 = 1980
15 × 132 = 1980
18 × 110 = 1980
20 × 99 = 1980
22 × 90 = 1980
30 × 66 = 1980
33 × 60 = 1980
36 × 55 = 1980
44 × 45 = 1980
Therefore, the positive factor pairs of 1980 are: (1, 1980), (2, 990), (3, 660), (4, 495), (5, 396), (6, 330), (9, 220), (10, 198), (11, 180), (12, 165), (15, 132), (18, 110), (20, 99), (22, 90), (30, 66), (33, 60), (36, 55), (44, 45).
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 1980 by 1, 1980 ÷ 1 = 1980.
Step 2: Continue dividing 1980 by the numbers until the remainder becomes 0.
1980 ÷ 1 = 1980
1980 ÷ 2 = 990
1980 ÷ 3 = 660
1980 ÷ 4 = 495
1980 ÷ 5 = 396
1980 ÷ 6 = 330
1980 ÷ 9 = 220
1980 ÷ 10 = 198
1980 ÷ 11 = 180
1980 ÷ 12 = 165
1980 ÷ 15 = 132
1980 ÷ 18 = 110
1980 ÷ 20 = 99
1980 ÷ 22 = 90
1980 ÷ 30 = 66
1980 ÷ 33 = 60
1980 ÷ 36 = 55
1980 ÷ 44 = 45
Therefore, the factors of 1980 are: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 180, 198, 220, 330, 396, 495, 660, 990, and 1980.
Prime Factors and Prime Factorization
The factors can be found by dividing them by 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 1980 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1980 ÷ 2 = 990
990 ÷ 2 = 495
495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 1980 are 2, 3, 5, and 11. The prime factorization of 1980 is: 2² × 3² × 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, 1980 is divided by 2 to get 990.
Step 2: Now divide 990 by 2 to get 495.
Step 3: Then divide 495 by 3 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 1980 is: 2² × 3² × 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 1980: (1, 1980), (2, 990), (3, 660), (4, 495), (5, 396), (6, 330), (9, 220), (10, 198), (11, 180), (12, 165), (15, 132), (18, 110), (20, 99), (22, 90), (30, 66), (33, 60), (36, 55), (44, 45).
Negative factor pairs of 1980: (-1, -1980), (-2, -990), (-3, -660), (-4, -495), (-5, -396), (-6, -330), (-9, -220), (-10, -198), (-11, -180), (-12, -165), (-15, -132), (-18, -110), (-20, -99), (-22, -90), (-30, -66), (-33, -60), (-36, -55), (-44, -45).
Common Mistakes and How to Avoid Them in Factors of 1980
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1980, 1 and 1980 are also factors.
Factors of 1980 Examples
Problem 1
There are 20 students and 1980 apples. How will they divide them equally?
They will get 99 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of students.
1980/20 = 99
Problem 2
A garden is rectangular, the length of the garden is 90 meters and the total area is 1980 square meters. Find the width.
22 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1980 = 90 × width
To find the value of width, we need to shift 90 to the left side.
1980/90 = width
Width = 22.
Problem 3
There are 11 teams and 1980 points. How many points will each team have?
Each team will have 180 points.
Explanation
To find the points for each team, divide the total points by the number of teams.
1980/11 = 180
Problem 4
In a tournament, there are 1980 players and 30 groups. How many players are there in each group?
There are 66 players in each group.
Explanation
Dividing the players by the total groups, we will get the number of players in each group.
1980/30 = 66
Problem 5
1980 books need to be arranged in 55 shelves. How many books will go on each shelf?
Each of the shelves has 36 books.
Explanation
Divide total books by shelves.
1980/55 = 36
FAQs on Factors of 1980
1.What are the factors of 1980?
2.Mention the prime factors of 1980.
3.Is 1980 a multiple of 6?
4.Mention the factor pairs of 1980?
5.What is the square of 1980?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1980?
7.What are some fun ways kids in Thailand can practice Factors of 1980 with numbers?
8.What role do numbers and Factors of 1980 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1980 skills?
Important Glossaries for Factor of 1980
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 180, 198, 220, 330, 396, 495, 660, 990, and 1980.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 11 are prime factors of 1980.
- 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 1980 are (1, 1980), (2, 990), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1980 is 2² × 3² × 5 × 11.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For instance, finding pairs like (2, 990) for 1980.
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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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