119 LearnersLast updated on June 9th, 2025
Factors of 1483
Factors are the numbers that divide any given number evenly without a 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 1483, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1483?
The numbers that divide 1483 evenly are known as factors of 1483. A factor of 1483 is a number that divides the number without a remainder.
Since 1483 is a prime number, its only factors are 1 and 1483 itself.
Negative factors of 1483: -1 and -1483.
Prime factors of 1483: 1483.
Prime factorization of 1483: 1483 (itself, as it is a prime number).
The sum of factors of 1483: 1 + 1483 = 1484.
How to Find Factors of 1483?
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
Finding factors using multiplication involves identifying pairs of numbers that multiply to give 1483. Since 1483 is a prime number, the multiplication method shows it can only be multiplied by 1 and itself.
Step 1: Multiply 1483 by 1, 1483 × 1 = 1483.
Step 2: No other pairs multiply to 1483 because it's a prime number.
Therefore, the positive factor pair of 1483 is: (1, 1483). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero helps list the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1483 by 1, 1483 ÷ 1 = 1483.
Step 2: No other divisions result in an integer because 1483 is a prime number.
Therefore, the factors of 1483 are: 1 and 1483.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. Since 1483 is a prime number, the methods to find prime factors are straightforward.
Using Prime Factorization: 1483 is a prime number, so it cannot be broken down further.
The prime factorization of 1483 is simply 1483 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1483 is a prime number, the factor tree is very simple: 1483 has no divisors other than 1 and 1483.
The prime factorization of 1483 is 1483.
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 pair of 1483: (1, 1483).
Negative factor pair of 1483: (-1, -1483).
Common Mistakes and How to Avoid Them in Factors of 1483
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 1483, 1 and 1483 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1483 include -1 and -1483.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1483/1.5 ≈ 988.67, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1483 are prime numbers. In fact, 1483 is a prime number itself, so its only factors are 1 and 1483.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For a prime number like 1483, its factorization is straightforward as it cannot be broken down further.
Factors of 1483 Examples
Problem 1
A school has 1483 chairs, and they want to arrange them in a single hall. If each row can have only 1 chair, how many rows will there be?
There will be 1483 rows.
Explanation
Since each row can only have 1 chair, the number of rows equals the total number of chairs.
1483 ÷ 1 = 1483
Problem 2
A gallery has a single wall that can hold 1483 paintings. If they want to place each painting in its own row, how many rows of paintings will there be?
There will be 1483 rows of paintings.
Explanation
Since each painting is in its own row, the number of rows equals the total number of paintings.
1483 paintings mean 1483 rows.
Problem 3
A library has 1483 books, and they want to place each book on its own shelf. How many shelves do they need?
They will need 1483 shelves.
Explanation
Each book will be on its own shelf, so the number of shelves equals the total number of books.
1483 ÷ 1 = 1483
Problem 4
A concert hall has 1483 seats, and each seat needs its own ticket. How many tickets are required?
1483 tickets are required.
Explanation
Each seat requires a ticket, so the number of tickets equals the total number of seats.
1483 ÷ 1 = 1483
Problem 5
A farmer has 1483 plants and wants to plant them in a single row. How many rows will there be?
There will be 1 row.
Explanation
Since all plants are placed in a single row, there is only 1 row containing all the plants.
1483 ÷ 1483 = 1
FAQs on Factors of 1483
1.What are the factors of 1483?
2.Mention the prime factors of 1483.
3.Is 1483 a multiple of 2?
4.Mention the factor pairs of 1483?
5.What is the square of 1483?
6.How can children in India use numbers in everyday life to understand Factors of 1483?
7.What are some fun ways kids in India can practice Factors of 1483 with numbers?
8.What role do numbers and Factors of 1483 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1483 skills?
Important Glossaries for Factor of 1483
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1483 are 1 and 1483.
- Prime factors: The factors which are prime numbers. For example, 1483 is a prime factor of itself.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 1483 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1483 is (1, 1483).
- Remainder: The amount left after division when the divisor does not evenly divide the dividend. For example, dividing 1483 by any number other than 1 and 1483 results in a remainder.
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About BrightChamps in India
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.
