122 LearnersLast updated on May 26th, 2025
Factors of -19
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.
What are the Factors of -19?
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.
How to Find Factors of -19?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
Finding Factors Using Multiplication
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).
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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.
Factor Tree
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.
Common Mistakes and How to Avoid Them in Factors of -19
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 factors. The number itself and 1 are factors for every number. Always remember to include ±1 and ±19 when considering the factors of -19.
Mistake 2
Including Non-Whole Numbers
Only whole numbers can be factors of an integer. Ensure that fractions or decimals are not mistakenly included as factors.
Mistake 3
Confusing Factors With Multiples
Remember that factors are numbers that divide another number exactly, not multiples. Avoid mistaking multiples of -19 for its factors.
Mistake 4
Assuming More Factors Due to Negativity
Being a negative number does not increase the number of factors. -19 still only has the factors ±1 and ±19.
Factors of -19 Examples
Problem 1
A person owes 19 dollars to each of 19 friends. What's the total debt?
The total debt is 361 dollars.
Explanation
To find the total debt, multiply the amount owed to each friend by the number of friends.
19 × 19 = 361
Problem 2
A rectangular plot has a length of 19 meters and an area of 19 square meters. What is the width?
1 meter.
Explanation
To find the width of the plot, use the formula,
Area = length × width
19 = 19 × width
Width = 1
Problem 3
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.
Explanation
Divide the total budget by the number of employees.
19 ÷ 19 = 1
FAQs on Factors of -19
1.What are the factors of -19?
2.Is -19 a prime number?
3.What is the absolute value of -19?
4.Can -19 have any other factors?
5.How can children in Qatar use numbers in everyday life to understand Factors of -19?
6.What are some fun ways kids in Qatar can practice Factors of -19 with numbers?
7.What role do numbers and Factors of -19 play in helping children in Qatar develop problem-solving skills?
8.How can families in Qatar create number-rich environments to improve Factors of -19 skills?
Important Glossaries for Factors of -19
- Factors: Numbers that divide the given number without leaving a remainder. For example, factors of -19 are ±1 and ±19.
- Prime Number: A number greater than 1 with no divisors other than 1 and itself. -19 is prime because its only factors are ±1 and ±19.
- Absolute Value: The non-negative value of a number without regard to its sign. For example, |-19| is 19.
- Multiplication: The process of combining numbers to get a product. Used to find factor pairs.
- Division Method: A technique to find factors by dividing the number by integers to check for zero remainders.
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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.
