124 LearnersLast updated on June 9th, 2025
Factors of 1482
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 1482, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1482?
The numbers that divide 1482 evenly are known as factors of 1482.
A factor of 1482 is a number that divides the number without remainder.
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 39, 57, 78, 247, 741, and 1482.
Negative factors of 1482: -1, -2, -3, -6, -13, -19, -26, -39, -57, -78, -247, -741, and -1482.
Prime factors of 1482: 2, 3, 13, and 19.
Prime factorization of 1482: 2 × 3 × 13 × 19.
The sum of factors of 1482: 1 + 2 + 3 + 6 + 13 + 19 + 26 + 39 + 57 + 78 + 247 + 741 + 1482 = 2714
How to Find Factors of 1482?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1482. Identifying the numbers which are multiplied to get the number 1482 is the multiplication method.
Step 1: Multiply 1482 by 1, 1482 × 1 = 1482.
Step 2: Check for other numbers that give 1482 after multiplying:
2 × 741 = 1482
3 × 494 = 1482
6 × 247 = 1482
13 × 114 = 1482
19 × 78 = 1482
Therefore, the positive factor pairs of 1482 are: (1, 1482), (2, 741), (3, 494), (6, 247), (13, 114), and (19, 78).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1482 by 1, 1482 ÷ 1 = 1482.
Step 2: Continue dividing 1482 by the numbers until the remainder becomes 0.
1482 ÷ 1 = 1482
1482 ÷ 2 = 741
1482 ÷ 3 = 494
1482 ÷ 6 = 247
1482 ÷ 13 = 114
1482 ÷ 19 = 78
Therefore, the factors of 1482 are: 1, 2, 3, 6, 13, 19, 26, 39, 57, 78, 247, 741, 1482.
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 1482 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1482 ÷ 2 = 741
741 ÷ 3 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
The prime factors of 1482 are 2, 3, 13, and 19.
The prime factorization of 1482 is: 2 × 3 × 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1482 is divided by 2 to get 741.
Step 2: Now divide 741 by 3 to get 247.
Step 3: Then divide 247 by 13 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1482 is: 2 × 3 × 13 × 19.
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 1482: (1, 1482), (2, 741), (3, 494), (6, 247), (13, 114), and (19, 78).
Negative factor pairs of 1482: (-1, -1482), (-2, -741), (-3, -494), (-6, -247), (-13, -114), and (-19, -78).
Common Mistakes and How to Avoid Them in Factors of 1482
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 1482, 1 and 1482 is also a factor.
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 1482 consists of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1482/1.5 = 988, 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 1482 are prime numbers. For example, 2, 3, 13, and 19 are the prime factors of 1482, but it has other factors like 6, 78.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1482 as 2 × 3 × 13 × 19 and missing all the key factors.
Factors of 1482 Examples
Problem 1
There are 6 friends and 1482 pencils. How will they divide it equally?
They will get 247 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils with the number of friends.
1482/6 = 247
Problem 2
A rectangular plot has a length of 13 meters, and the total area is 1482 square meters. Find the width.
114 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
1482 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1482/13 = width
Width = 114
Problem 3
A book has 3 chapters and 1482 pages. How many pages are in each chapter?
Each chapter will have 494 pages.
Explanation
To find the pages in each chapter, divide the total pages by the chapters.
1482/3 = 494
Problem 4
There are 2 teams and 1482 players. How many players are in each team?
There are 741 players in each team.
Explanation
Dividing the players by the total teams, we will get the number of players in each team.
1482/2 = 741
Problem 5
1482 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 78 books.
Explanation
Divide total books by shelves.
1482/19 = 78
FAQs on Factors of 1482
1.What are the factors of 1482?
2.Mention the prime factors of 1482.
3.Is 1482 a multiple of 13?
4.Mention the factor pairs of 1482?
5.What is the square of 1482?
Important Glossaries for Factor of 1482
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 39, 57, 78, 247, 741, and 1482.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 13, and 19 are prime factors of 1482.
- 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 1482 are (1, 1482), (2, 741), etc.
- Prime factorization: The process of breaking down a number into the product of its prime factors. For example, the prime factorization of 1482 is 2 × 3 × 13 × 19.
- Negative factors: Factors of a number that are negative. For example, -1, -2, -3, -6, -13, -19, -26, -39, -57, -78, -247, -741, and -1482 are negative factors of 1482.
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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
: She loves to read number jokes and games.
