Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 -19, how they are used in real life, and tips to learn them quickly.
The numbers that divide -19 evenly are known as factors of -19.
A factor of -19 is a number that divides the number without remainder.
Since -19 is a prime number, its only factors are ±1 and ±19.
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we identify pairs of numbers that multiply to give -19. Since -19 is a prime number, the factor pairs are limited.
Step 1: Multiply -19 by -1: -19 × -1 = 19.
Step 2: Multiply 1 by -19: 1 × -19 = -19.
The factor pairs of -19 are: (1, -19) and (-1, 19).
Dividing the given number by whole numbers until the remainder becomes zero helps list the factors. Factors can be calculated by the simple division method:
Step 1: Divide -19 by -1, -19 ÷ -1 = 19.
Step 2: Divide -19 by 1, -19 ÷ 1 = -19.
Therefore, the factors of -19 are ±1 and ±19.
Since -19 is a prime number, it does not have any prime factors other than itself and its negative.
The prime factors of -19 are -19 and 19.
Prime factorization does not apply here as -19 is already a prime number.
A factor tree is typically used for composite numbers to break them into prime factors, but since -19 is a prime number, a factor tree is not applicable.
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 person owes 19 dollars to each of 19 friends. What's the total debt?
The total debt is 361 dollars.
To find the total debt, multiply the amount owed to each friend by the number of friends.
19 × 19 = 361
A rectangular plot has a length of 19 meters and an area of 19 square meters. What is the width?
1 meter.
To find the width of the plot, use the formula,
Area = length × width
19 = 19 × width
Width = 1
A company has 19 employees and a budget of 19 dollars for snacks. How much can each employee receive?
Each employee can receive 1 dollar.
Divide the total budget by the number of employees.
19 ÷ 19 = 1
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.