123 LearnersLast updated on May 26th, 2025
Factors of -13
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -13, how they are used in real life, and the tips to learn them quickly.
What are the Factors of -13?
The numbers that divide -13 evenly are known as factors of -13.
A factor of -13 is a number that divides the number without remainder.
The factors of -13 are 1, -1, 13, and -13.
The negative factors of -13: -1, - 13
Prime factors of 13: 13.
Prime factorization of 13: 13.
How to Find Factors of -13?
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 -13. Identifying the numbers that are multiplied to get the number -13 is the multiplication method.
Step 1: Multiply -13 by -1, -13 × -1 = 13.
Step 2: Check for other numbers that give -13 after multiplying 1 × -13 = -13
Therefore, the factor pairs of -13 are: (1, -13) and (-1, 13).
Finding Factors Using Division Method
Dividing the given numbers with the 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 -13 by 1, -13 ÷ 1 = -13.
Step 2: Continue dividing -13 by the numbers until the remainder becomes 0.
-13 ÷ 1 = -13
-13 ÷ -1 = 13
-13 ÷ 13 = -1
Therefore, the factors of -13 are: 1, -1, 13, -13.
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, prime factors of -13 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since -13 is a prime number, it cannot be broken down further.
The prime factorization of -13 is: 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, as -13 is a prime number, it cannot be broken down further using a factor tree.
So, the prime factorization of -13 is: 13.
Common Mistakes and How to Avoid Them in Factors of -13
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -13, 1 and -13 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -13 consist of -1 and -13.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because -13/1.5 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 -13 are prime numbers.
For example, -13 is a prime number, but it has other factors like 1 and -1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing -13 as a prime number and trying to break it down further.
Factors of -13 Examples
Problem 1
There are 13 apples and 13 kids. How will they distribute the apples equally?
Each kid will get 1 apple.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of kids.
13/13 = 1
Problem 2
A parking lot can hold -13 cars. If each row can hold 1 car, how many rows are there?
There are -13 rows.
Explanation
To find the number of rows, divide the total number of cars by the number of cars each row can hold.
-13/1 = -13
Problem 3
There are 13 chairs and 1 table. How many chairs can be placed around the table?
13 chairs can be placed around the table.
Explanation
To find the number of chairs around the table, simply take the total number of chairs.
13 = 13
Problem 4
A board is 13 meters long and needs to be cut into pieces of -1 meter each. How many pieces will there be?
There will be -13 pieces.
Explanation
To find the number of pieces, divide the total length by the size of each piece.
13/-1 = -13
FAQs on Factors of -13
1.What are the factors of -13?
2.Mention the prime factors of -13.
3.Is 13 a prime number?
4.Does -13 have any positive factors other than 1 and 13?
5.Can -13 be factorized further?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of -13?
7.What are some fun ways kids in Saudi Arabia can practice Factors of -13 with numbers?
8.What role do numbers and Factors of -13 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of -13 skills?
Important Glossaries for Factors of -13
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -13 are 1, -1, 13, and -13.
- Prime number: A number that has no factors other than 1 and itself. For example, 13 is a prime number.
- Negative factors: Factors that are negative numbers. For example, -1 and -13 are negative factors of -13.
- Prime factorization: Expressing a number as the product of its prime factors. For example, -13 as 13.
- Whole numbers: Numbers without fractions; an integer. For example, 1 and -1 are whole numbers.
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About BrightChamps in Saudi Arabia
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.
