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 1013, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1013 evenly are known as factors of 1013.
A factor of 1013 is a number that divides the number without remainder.
Since 1013 is a prime number, its only factors are 1 and 1013.
Negative factors of 1013: -1 and -1013.
Prime factors of 1013: 1013 itself, as it is a prime number.
The sum of factors of 1013: 1 + 1013 = 1014
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 1013. However, since 1013 is a prime number, it only has the multiplication pair:
Step 1: Multiply 1013 by 1, 1013 × 1 = 1013.
Therefore, the positive factor pair of 1013 is: (1, 1013).
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 simple division method
Step 1: Divide 1013 by 1, 1013 ÷ 1 = 1013.
Since 1013 is a prime number, it cannot be divided evenly by any number other than 1 and itself.
Therefore, the factors of 1013 are: 1 and 1013.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: Since 1013 is a prime number, it cannot be broken down further. The prime factorization of 1013 is simply 1013 itself.
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1013 is a prime number, it cannot be broken down further into a factor tree. The prime factorization of 1013 is 1013 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 pair of 1013: (1, 1013).
Negative factor pair of 1013: (-1, -1013).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 1013 pages in a book and 1 bookmark. How can the bookmark be placed to mark equally divided sections?
The bookmark can be placed between any two pages as there is only one section.
Since 1013 is a prime number, it cannot be divided into equal sections other than itself and 1.
A group of scientists have 1013 samples, and they want to distribute them into single collections. How many collections will they make?
They will make 1013 collections.
Since each collection can only have one sample, there will be 1013 collections.
A rare plant species has 1013 seeds, and a gardener wants to plant them in single-seed pots. How many pots are needed?
1013 pots are needed.
Each seed goes into one pot, so 1013 seeds require 1013 pots.
A collection has 1013 artifacts, and a museum wants each artifact displayed individually. How many display cases are required?
1013 display cases are required.
Each artifact is placed in one display case, requiring 1013 cases.
A library has 1013 books, and wants to store each book in a separate shelf. How many shelves are needed?
1013 shelves are needed.
Each book goes on one shelf, requiring 1013 shelves.
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.