121 LearnersLast updated on June 9th, 2025
Factors of 1493
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 1493, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1493?
The numbers that divide 1493 evenly are known as factors of 1493.
A factor of 1493 is a number that divides the number without remainder.
The factors of 1493 are 1 and 1493.
Negative factors of 1493: -1 and -1493.
Prime factors of 1493: 1493.
Prime factorization of 1493: 1493.
The sum of factors of 1493: 1 + 1493 = 1494
How to Find Factors of 1493?
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 1493. Identifying the numbers which are multiplied to get the number 1493 is the multiplication method.
Step 1: Multiply 1493 by 1, 1493 × 1 = 1493.
There are no other pairs of numbers that multiply to give 1493.
Therefore, the positive factor pairs of 1493 are: (1, 1493).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1493 by 1, 1493 ÷ 1 = 1493.
Step 2: Check if 1493 can be divided by any other number without remainder.
Since 1493 is a prime number, it cannot be divided further without leaving a remainder.
Therefore, the factors of 1493 are: 1 and 1493.
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, since 1493 is a prime number, it cannot be broken down further into other prime factors.
Hence, 1493 is its own prime factor.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1493 is a prime number, it cannot be broken down further using a factor tree. So, the prime factorization of 1493 is: 1493.
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 1493: (1, 1493).
Negative factor pairs of 1493: (-1, -1493).
Common Mistakes and How to Avoid Them in Factors of 1493
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 1493, 1 and 1493 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1493 include -1 and -1493.
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 is incorrect, because 1493/1.5 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 1493 are prime numbers. 1493 is a prime number, but it has factors like 1 and 1493 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, incorrectly breaking down 1493 into other numbers, when it is actually a prime number.
Factors of 1493 Examples
Problem 1
A library has 1493 books, and each shelf can hold one book. How many shelves are needed?
1493 shelves are needed.
Explanation
To place each book on a separate shelf, you need as many shelves as there are books.
1493/1 = 1493
Problem 2
A concert hall has 1493 seats, and each row can have one seat. How many rows are needed?
1493 rows are needed.
Explanation
To have one seat per row, the number of rows needed equals the number of seats.
1493/1 = 1493
Problem 3
A school has 1493 students, and each classroom can hold one student. How many classrooms are required?
1493 classrooms are required.
Explanation
To accommodate each student in a separate classroom, you need as many classrooms as there are students.
1493/1 = 1493
Problem 4
A parking lot can hold 1493 cars, and each parking space can hold one car. How many parking spaces are needed?
1493 parking spaces are needed.
Explanation
To park each car in a separate space, you need as many spaces as there are cars.
1493/1 = 1493
Problem 5
A company has 1493 employees and needs to distribute one badge to each employee. How many badges are needed?
1493 badges are needed.
Explanation
To give one badge to each employee, you need as many badges as there are employees.
1493/1 = 1493
FAQs on Factors of 1493
1.What are the factors of 1493?
2.Mention the prime factors of 1493.
3.Is 1493 a multiple of 3?
4.Mention the factor pairs of 1493?
5.What is the square of 1493?
Important Glossaries for Factors of 1493
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1493 are 1 and 1493.
- Prime factors: The factors which are prime numbers. For example, 1493 is a prime factor of itself.
- 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 1493 are (1, 1493).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1493 is a prime number.
- Division method: A way to find factors by dividing the number until the remainder becomes zero. For example, dividing 1493 by 1 gives a whole number, indicating a factor.
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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.
