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 1363, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1363 evenly are known as factors of 1363.
A factor of 1363 is a number that divides the number without remainder.
The factors of 1363 are 1 and 1363.
Negative factors of 1363: -1 and -1363.
Prime factorization of 1363: 1363 is a prime number, so it has no prime factors other than itself.
The sum of factors of 1363: 1 + 1363 = 1364
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 1363. Since 1363 is a prime number, it only has the multiplication pair of itself and 1.
Step 1: Multiply 1363 by 1, 1363 × 1 = 1363.
Therefore, the positive factor pair of 1363 is (1, 1363).
For every positive factor, there is a negative factor.
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 1363 by 1, 1363 ÷ 1 = 1363.
Since 1363 is a prime number, it cannot be divided by any other numbers except 1 and 1363 without leaving a remainder.
Therefore, the factors of 1363 are: 1 and 1363.
The factors can be found by dividing it with prime numbers. However, since 1363 is a prime number, it has no prime factors other than itself.
Using Prime Factorization: In this process, since 1363 is a prime number, it cannot be broken down further into other prime factors.
The prime factorization of 1363 is: 1363 itself.
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1363 is a prime number, it cannot be broken down further using a factor tree.
The prime factorization of 1363 is: 1363 itself.
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 1363: (1, 1363).
Negative factor pairs of 1363: (-1, -1363).
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 group of 1363 students is going on a field trip. How can they be divided into groups such that each group has the same number of students?
Each group will consist of 1 student or 1363 students.
Since 1363 is a prime number, the only possible groups are 1 student per group or the entire 1363 students in one group.
There is a single tree with 1363 apples. How can you equally distribute apples among workers?
Each worker can have 1 apple or all 1363 apples.
Since 1363 is a prime number, you can only distribute 1 apple per worker or give all 1363 apples to one worker.
A shipment contains 1363 identical boxes. How can these be stored in a warehouse evenly?
They can be stored in a single stack of 1363 boxes or 1363 stacks of 1 box each.
The factors of 1363 are 1 and 1363, so you can only stack all boxes in one pile or individually.
A book has 1363 pages. How many pages can be assigned for each day of reading if you want to read it evenly over a number of days?
You can assign either 1 page per day or read all 1363 pages in one day.
Since 1363 is a prime number, the only division is 1 page per day or completing it in one day.
A theater has 1363 seats. How can the seats be arranged in rows that have the same number of seats?
The seats can be arranged in one row of 1363 seats or 1363 rows of 1 seat each.
The factors of 1363 are 1 and 1363, meaning you can only arrange them in these configurations.
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.