114 LearnersLast updated on May 26th, 2025
Factors of 1013
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.
What are the Factors of 1013?
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
How to Find Factors of 1013?
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 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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
- Using factor tree
Using Prime Factorization: Since 1013 is a prime number, it cannot be broken down further. The prime factorization of 1013 is simply 1013 itself.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 1013, 1 and 1013 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1013 consist of -1 and -1013.
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 1013/1.5 = 675.333, and it 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 1013, 1 and 1013 are factors, but 1013 itself is a prime number.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors. For 1013, it is crucial to identify it as a prime number with no further factorization possible.
Factors of 1013 Examples
Problem 1
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.
Explanation
Since 1013 is a prime number, it cannot be divided into equal sections other than itself and 1.
Problem 2
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.
Explanation
Since each collection can only have one sample, there will be 1013 collections.
Problem 3
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.
Explanation
Each seed goes into one pot, so 1013 seeds require 1013 pots.
Problem 4
A collection has 1013 artifacts, and a museum wants each artifact displayed individually. How many display cases are required?
1013 display cases are required.
Explanation
Each artifact is placed in one display case, requiring 1013 cases.
Problem 5
A library has 1013 books, and wants to store each book in a separate shelf. How many shelves are needed?
1013 shelves are needed.
Explanation
Each book goes on one shelf, requiring 1013 shelves.
FAQs on Factors of 1013
1.What are the factors of 1013?
2.Mention the prime factors of 1013.
3.Is 1013 a multiple of any number other than itself and 1?
4.Mention the factor pairs of 1013?
5.Can 1013 be arranged into multiple equal parts?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1013?
7.What are some fun ways kids in Qatar can practice Factors of 1013 with numbers?
8.What role do numbers and Factors of 1013 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1013 skills?
Important Glossaries for Factors of 1013
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1013 are 1 and 1013.
- Prime factors: The factors which are prime numbers. For example, 1013 is a prime factor of itself.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 1013 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 1013 is (1, 1013).
- Negative factors: Negative counterparts of positive factors. For example, -1 and -1013 are negative factors of 1013.
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About BrightChamps in Qatar
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.
