Factors of 162
The distinct factors of 162 are the numbers which when multiplied in pairs give the product as 162. There are in total 8 factors of 162. These factors of 162 can also be integers, as we can have negative factors of 162 as well. The number 162 is an even composite number, that is because it has several factors. In this lesson, we will calculate the factors of 162, prime factors of 162, and factors of 162 in pairs along with solved examples for a better understanding.
 Factors of 162: 1, 2, 3, 9, 27, 54, 81 and 162
 Prime Factorization of 162: 162 = 2 × 3 × 3 × 3 × 3
1.  What Are the Factors of 162? 
2.  How to Calculate Factors of 162? 
3.  Factors of 162 by Prime Factorization 
4.  Factors of 162 in Pairs 
5.  Important Notes 
6.  FAQs on Factors of 162 
What are the Factors of 162?
The number 162 is an even composite number. As it is even, it will have 2 as its factor. To understand why it is composite, let's recall the definition of a composite number. "If a number has more than two factors then it is known as a composite number."
Now, let's take the case of 162. The factors of 162 are written as 1,2, 3, 6, 9, 18, 27, 54, 81, and 162. There are more than two factors of 162, hence it's composite. "The factors of 162 are all the integers that 162 can be split into."
How to Calculate the Factors of 162?
To calculate the factors of 162, we need to find all the numbers that divide 162, without leaving any remainder. We start with 1, and then check the following numbers 2, 3, 4, 5, 6, 7, and so on, up to 81 (half of 162). We should note that 1 and the number itself will always be a factor of the given number. Observe the following table to check the factors of 162 by division:
Division  Factor 
162÷1  Factor = 1 
162÷2  Factor = 2 
162÷3  Factor = 3 
162÷6  Factor = 6 
162÷9  Factor = 9 
162÷18  Factor = 18 
162÷27  Factor = 27 
162÷54  Factor = 54 
162÷81  Factor = 81 
162÷162  Factor = 162 
 The numbers which we multiply to get 162 are the factors of 162
 Factors of 162 are written as 1,2, 3, 6, 9, 18, 27, 54, 81 and 162
 The number itself is a factor of the number as it divides itself exactly.
 Factor pairs are the pairs of two numbers that, when multiplied, give the number. Factor pairs of 162 are (1,162) (2,81) (3,54) (6,27) and (9,18).
Factors of 162 By Prime Factorization
"Prime factorization means to express a composite number as the product of its prime factors." To get the prime factors of 162, we divide it by its smallest prime factor which is 2, 162÷2 = 81. Now, 81 is divided by its smallest prime factor and the quotient is obtained. This process goes on till we get the quotient as 1. The factor tree of 162 or 162factor tree is shown below:
The above factorization is the tree diagram representation of primes factors of 162. Therefore, Factors of 162 are 2 × 3 × 3 × 3. Now that we have done the prime factorization of 162, we can multiply them and get the other factors. Can you try and find out if all the factors are covered or not? And as you might have already guessed, for prime numbers, there are no other factors.
Factors of 162 in pairs
The pair of numbers which gives 162 when multiplied is known as factor pairs of 162. The following are the factors of 162 in pairs.
The product form of 162  Pair factor 
1 × 162 = 162  (1, 162) 
2 × 81 = 162  (2, 81) 
3 × 54 = 162  (3, 54) 
6 × 27 = 162  (6, 27) 
9 × 18 = 162  (9, 18) 
18 × 9 = 162  (18, 9) 
27 × 6 = 162  (27, 6) 
54 × 3 = 162  (54, 3) 
81 × 2 = 162  (81, 2) 
162 × 1 = 162  (162, 1) 
 If we consider negative integers, then both the numbers in the pair factors will be negative.
 72 is positive and ( ve) × ( ve) = +ve.
 So, we can have factor pairs of 162 as (1,162), (2,81), (3,54), (6,27), and (9, 18).
Factors of 162 Solved Examples

Example 1 Help Allan to list the factors of 162 and find the factor pairs.
Solution
Factors of 162 are the numbers that divide without any remainder.
They are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Factors pairs are the pairs of two numbers which, when multiplied, give 1621×162=162
2×81=162
3×54=162
6×27=162
9×18=162

Example 2 Can you help Candy list the factors of 162?
Solution
Factors of 162 are the number that divides 162 exactly without any remainder.
162÷1=162
162÷2=81
162÷3=54
162÷6=27
162÷9=18
∴ Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81 and 162.

Example 3: Ross told James that 3 is one of the factors of 162. Can you help him find the other factor?
Solution:
162 = Factor 1 × Factor 2
∴162 = (−3) × Factor 2
Factor 2 = 162 ÷ (−3) = (−54)
The other factor is 54.
FAQs on factors of 162
1.What are the factor pairs of 162?
There are 5 factor pairs of 162 (1,162), (2,81), (3,54), (6,27), and (9,18).
2.Is 162 a perfect square?
162 is not a perfect square number because its square root is not a whole number.
3.What are all the factors of 162?
Factors of 162 are 1, 2, 3, 9, 27, 54, 81 and 162.
4.What is the highest common factor of 162 and 216?
The highest common factor of 162 and 216 is 54.
5.What are the prime factors of 162?
The prime factors of 162 are 2 and 3.
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