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 items equally, arranging things, etc. In this topic, we will learn about the factors of -121, how they are used in real life, and tips to learn them quickly.
The numbers that divide -121 evenly are known as factors of -121.
A factor of -121 is a number that divides the number without remainder.
Positive factors of 121: 1, 11, 121.
Negative factors of -121: -1, -11, and -121.
Prime factors of 121: 11.
Prime factorization of 121: 11 × 11.
The sum of factors of -121 (considering only positive factors): 1 + 11 + 121 = 133
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 -121. Identifying the numbers which are multiplied to get the number -121 is the multiplication method.
Step 1: Multiply -121 by 1, -121 × 1 = -121.
Step 2: Check for other numbers that give -121 after multiplying 11 × -11 = -121 Therefore, the positive factor pairs of -121 are: (1, -121) and (11, -11).
All these factor pairs result in -121.
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 the simple division method
Step 1: Divide -121 by 1, -121 ÷ 1 = -121.
Step 2: Continue dividing -121 by the numbers until the remainder becomes 0.
-121 ÷ 1 = -121
-121 ÷ 11 = -11
Therefore, the factors of -121 are: 1, -1, 11, -11, 121, -121.
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 121 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factor of 121 is 11.
The prime factorization of 121 is: 11 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 121 is divided by 11 to get 11.
Step 2: Now divide 11 by 11 to get 1. The prime factorization of 121 is: 11 × 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 -121: (1, -121) and (11, -11).
Negative factor pairs of -121: (-1, 121) and (-11, 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 friends and -121 apples. How will they divide it equally?
They will get -11 apples each.
To divide the apples equally, we need to divide the total apples by the number of friends.
-121/11 = -11
A field is rectangular, the length of the field is 11 meters and the total area is -121 square meters. Find the width?
-11 meters.
To find the width of the field, we use the formula, Area = length × width -121 = 11 × width
To find the value of width, we need to shift 11 to the left side.
-121/11 = width
Width = -11.
There are 121 bags and -121 marbles. How many marbles will be in each bag?
Each bag will have -1 marble.
To find the marbles in each bag, divide the total marbles by the bags.
-121/121 = -1
In a class, there are -121 students, and 11 groups. How many students are there in each group?
There are -11 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
-121/11 = -11
-121 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has -11 books.
Divide total books by shelves.
-121/11 = -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.