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Last updated on May 26th, 2025

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Factors of 162

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A number which divides another number exactly without leaving any remainder is called a factor of the given number. Factors play an important role in many real-life situations. They are useful in solving problems involving division.

Factors of 162 for UAE Students
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What are the Factors of 162?

Factors often come in pairs. There are several methods to figure them out, which you'll be learning about in a second. For now, let's just focus on the factors of 162, which are mentioned below:


Negative factors of 162: -1, -2, -3, -6, -9, -18, -27, -54, -81, -162
Prime factors of 162: 2 and 3
Prime factorization of 162: 21 × 34
The sum of factors of 162:  1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 = 363
 

Professor Greenline from BrightChamps

How to Find the Factors of 162?

For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:

 

  • Use of Multiplication Method
  • Use of Division Method
  • Use of Prime Factors and Prime Factorization.

 

So, here we discuss a detailed explanation of the following methods:
 

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Finding Factors Using Multiplication Method

So in the multiplication method, we will try to find out what numbers will multiply together, and give us the value 162. We will check the factors step by step:


Step 1: Start to multiply with numbers, which gives the value of 162.


Start with 1 and continue to multiply with other numbers. 

 

1 × 162 = 162
2 × 81 = 162
3 × 54 = 162
6 × 27 = 162
9 × 18 = 162


Step 2: After the calculation, we get these numbers, the factors of 162.


Step 3: The positive factor pairs of 162 found through multiplication are(1, 162), (2, 81), (3, 54), (6, 27), and (9, 18)


Step 4: The negative factor pairs of 162 are (-1, -162), (-2, -81), (-3, -54), (-6, -27), and (-9, -18)
 

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Finding Factors Using Division Method

Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 162:


Step 1: Divide 162 by smaller numbers and see if there is any remainder. E.g., 162/1 = 162.

 
Step 2: We will continue in the same way and check for other numbers as well. For 162, the factors are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. Because 162 can be divided evenly by these numbers.
 

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The prime factors of 162 are 2 and 3. The prime factors can be found using the methods given below:

 

 

  • Prime Factorization
  • Factor Tree

 

By Using Prime Factorization:  It is a method in which we break down a number into its prime factor. 


2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.


162 ÷ 2 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 =  3
3 ÷ 3 = 1


 The prime factorization of 162 is :


 162 = 21 × 34


With prime factorization, 162 can be broken down into its prime factors, 2 and 3.


 

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Factor Tree

 A factor tree is a graphical representation of breaking a composite number into its prime factors. It is an easy method to find out the factors of any number.


Step 1: 162 divided by 2 gives us the quotient 81.


Step 2: Since 81 is not a prime number, it can be divided further.


 The prime factorization of 162 is written below : 


162 = 21 × 34.
 

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Factor Pairs

Every number has either a positive or negative factor. Let us look at those sets of factors.


Positive pair Factors: (1, 162), (2,81), (3,54), (6,27), (9,18)


Negative pair Factors: (-1,-162), (-2,-81), (-3,54), (-6,-27), (-9,-18)
 

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Common Mistakes and How to Avoid Them in Factors Of 162

Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.

Mistake 1

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Confusing Factors with Multiples

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 The factors of a number can divide the given number without any remainder. Whereas, multiples are the products of multiplying a number with an integer. For example for 12, the factors are 1, 2, 3, 4, 6, and 12. And the multiples are 12, 24, and 36, etc… To avoid this confusion, always understand the concept clearly. 
 

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Factors Of 162 Examples

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Problem 1

A large pizza is cut into 162 slices. If one person gets 9 slices, how many people can be served?

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The pizza can be served to 18 people. 
 

Explanation

To find out how many people can be served, divide the total number of slices by the number of slices per person.
162 ÷9 = 18.
 

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Problem 2

A classroom hall has 162 seats arranged in rows. If there are 27 rows of seats, how many seats are in each row?

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The total number of seats in each row is 6.
 

Explanation

 The hall contains 162 seats arranged in 27 rows. To find the total number of seats in each row, divide the total number of seats by the number of rows. 


162 / 27 = 6
 

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Problem 3

What is the GCF of 162 and 54?

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The GCF of 162 and 54 is 54.
 

Explanation

 GCF is the largest number which can be divided by both given numbers, 162 and 54.


Factors of 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Common factors: 1, 2, 3, 6, 9, 18, 27, 54


Greatest Common Factor: 54.
 

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FAQs on Factors Of 162

1.What are the factor pairs of 162?

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2.What are the multiples of 162?

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3.Is 162 a perfect square?

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4.Is 162 in the 3 times table?

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5.Is 162 a perfect cube?

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6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 162?

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7.What are some fun ways kids in United Arab Emirates can practice Factors of 162 with numbers?

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8.What role do numbers and Factors of 162 play in helping children in United Arab Emirates develop problem-solving skills?

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9.How can families in United Arab Emirates create number-rich environments to improve Factors of 162 skills?

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Professor Greenline from BrightChamps

Important Glossaries For Factors Of 162

  • Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.

 

  • Prime Factors: Prime factors of a number are a set of prime numbers that multiply together to give the original number. For 162, the prime factors are 2 and 3.

 

  • Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
     
Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, numbers are more than just symbols—they open up a world of chances! We’re dedicated to helping children throughout the UAE build strong math skills, focusing today on Factors of 162 with an emphasis on factors—in a way that’s fun, clear, and engaging. Whether your child is figuring out the speed of a ride at Dubai Parks and Resorts, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning straightforward and fun. Because kids in the UAE have different learning styles, we tailor our teaching to each child. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life across the UAE. Let’s turn factors into an exciting part of every child’s math journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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