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
 

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:
 

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)
 

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.
 

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.

 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.
 

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)
 

• 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).