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 -162, how they are used in real life, and tips to learn them quickly.
The numbers that divide -162 evenly are known as factors of -162.
A factor of -162 is a number that divides the number without a remainder.
The factors of -162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
Negative factors of -162: -1, -2, -3, -6, -9, -18, -27, -54, -81, and -162.
Prime factors of -162: 2 and 3.
Prime factorization of -162: 2 × 34.
The sum of the positive factors of 162 is 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 = 363.
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 162. Identifying the numbers that are multiplied to get the number 162 is the multiplication method.
Step 1: Multiply 162 by 1, 162 × 1 = 162.
Step 2: Check for other numbers that give 162 after multiplying 2 × 81 = 162 3 × 54 = 162 6 × 27 = 162 9 × 18 = 162
Therefore, the positive factor pairs of 162 are: (1, 162), (2, 81), (3, 54), (6, 27), (9, 18).
For every positive factor, there is a negative factor.
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 162 by 1, 162 ÷ 1 = 162.
Step 2: Continue dividing 162 by the numbers until the remainder becomes 0.
162 ÷ 1 = 162
162 ÷ 2 = 81
162 ÷ 3 = 54
162 ÷ 6 = 27
162 ÷ 9 = 18
Therefore, the factors of -162 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 162 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
162 ÷ 2 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 162 are 2 and 3.
The prime factorization of 162 is: 2 × 3^4.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 162 is divided by 2 to get 81.
Step 2: Now divide 81 by 3 to get 27.
Step 3: Then divide 27 by 3 to get 9.
Step 4: Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 162 is: 2 × 34.
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 162: (1, 162), (2, 81), (3, 54), (6, 27), and (9, 18).
Negative factor pairs of -162: (-1, -162), (-2, -81), (-3, -54), (-6, -27), and (-9, -18).
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 9 friends and 162 candies. How will they divide it equally?
They will get 18 candies each.
To divide the candies equally, we need to divide the total candies with the number of friends.
162/9 = 18
A field is rectangular, the length of the field is 9 meters and the total area is 162 square meters. Find the width?
18 meters.
To find the width of the field, we use the formula
Area = length × width
162 = 9 × width
To find the value of width, we need to shift 9 to the left side.
162/9 = width
Width = 18.
There are 27 gift bags and 162 candies. How many candies will be in each bag?
Each bag will have 6 candies.
To find the candies in each bag, divide the total candies with the bags.
162/27 = 6
In a class, there are 162 students, and 9 groups. How many students are there in each group?
There are 18 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
162/9 = 18
162 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 54 books.
Divide total books with shelves.
162/3 = 54
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.