Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A library has 1493 books, and each shelf can hold one book. How many shelves are needed?
1493 shelves are needed.
To place each book on a separate shelf, you need as many shelves as there are books.
1493/1 = 1493
A concert hall has 1493 seats, and each row can have one seat. How many rows are needed?
1493 rows are needed.
To have one seat per row, the number of rows needed equals the number of seats.
1493/1 = 1493
A school has 1493 students, and each classroom can hold one student. How many classrooms are required?
1493 classrooms are required.
To accommodate each student in a separate classroom, you need as many classrooms as there are students.
1493/1 = 1493
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.
To park each car in a separate space, you need as many spaces as there are cars.
1493/1 = 1493
A company has 1493 employees and needs to distribute one badge to each employee. How many badges are needed?
1493 badges are needed.
To give one badge to each employee, you need as many badges as there are employees.
1493/1 = 1493
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.
: She loves to read number jokes and games.