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 -99, how they are used in real life, and the tips to learn them quickly.
The numbers that divide -99 evenly are known as factors of -99.
A factor of -99 is a number that divides the number without remainder.
The positive factors of -99 are 1, 3, 9, 11, 33, and 99.
Negative factors of -99: -1, -3, -9, -11, -33, and -99.
Prime factors of -99: 3 and 11.
Prime factorization of 99: 3² × 11.
The sum of the absolute values of factors of -99: 1 + 3 + 9 + 11 + 33 + 99 = 156
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 -99. Identifying the numbers which are multiplied to get the number -99 is the multiplication method.
Step 1: Multiply -99 by 1, -99 × 1 = -99.
Step 2: Check for other numbers that give -99 after multiplying:
3 × -33 = -99
9 × -11 = -99
Therefore, the positive factor pairs of -99 are: (1, -99), (3, -33), and (9, -11).
All these factor pairs result in -99.
For every positive factor, there is a corresponding negative factor.
Dividing the given number with 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 -99 by 1, -99 ÷ 1 = -99.
Step 2: Continue dividing -99 by the numbers until the remainder becomes 0.
-99 ÷ 1 = -99
-99 ÷ 3 = -33
-99 ÷ 9 = -11
-99 ÷ 11 = -9
-99 ÷ 33 = -3
Therefore, the factors of -99 are: 1, 3, 9, 11, 33, 99, and their negative counterparts.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of -99 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 99 are 3 and 11.
The prime factorization of 99 is 3² × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: First, divide 99 by 3 to get 33.
Step 2: Now divide 33 by 3 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 99 is 3² × 11.
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 pairs of -99: (1, -99), (3, -33), and (9, -11).
Negative factor pairs of -99: (-1, 99), (-3, 33), and (-9, 11).
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 11 teams and -99 points to distribute equally. How many points will each team receive?
Each team will get -9 points.
To divide the points equally, we need to divide the total points by the number of teams.
-99/11 = -9
A garden plot is rectangular, the length of the plot is 9 meters, and the total area is -99 square meters. Find the width?
-11 meters.
To find the width of the plot, we use the formula,
Area = length × width
-99 = 9 × width
To find the value of width, divide -99 by 9.
-99/9 = -11
There are 3 containers and -99 liters of liquid. How many liters will be in each container?
Each container will have -33 liters.
To find the liters in each container, divide the total liters by the number of containers.
-99/3 = -33
In a class, there are 33 students, and -99 assignments to complete. How many assignments should each student do?
Each student should do -3 assignments.
Dividing the assignments by the total number of students, we get the number of assignments each student should do.
-99/33 = -3
-99 tasks need to be divided among 9 workers. How many tasks will each worker handle?
Each worker will handle -11 tasks.
Divide the total tasks by the number of workers.
-99/9 = -11
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.