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

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."

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: 

• 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).

"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 162-factor 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.

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.  

• 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).

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.