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 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.
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.
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 -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).
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.
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.
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.
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 13 apples and 13 kids. How will they distribute the apples equally?
Each kid will get 1 apple.
To distribute the apples equally, we need to divide the total apples by the number of kids.
13/13 = 1
A parking lot can hold -13 cars. If each row can hold 1 car, how many rows are there?
There are -13 rows.
To find the number of rows, divide the total number of cars by the number of cars each row can hold.
-13/1 = -13
There are 13 chairs and 1 table. How many chairs can be placed around the table?
13 chairs can be placed around the table.
To find the number of chairs around the table, simply take the total number of chairs.
13 = 13
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.
To find the number of pieces, divide the total length by the size of each piece.
13/-1 = -13
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.