# Factors of 162

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162

#### How to find factors of a number

 1.   Find factors of 162 using Division Method 2.   Find factors of 162 using Prime Factorization 3.   Find factors of 162 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 162

• Divide 162 by 1: 162 ÷ 1 : Remainder = 0
• Divide 162 by 2: 162 ÷ 2 : Remainder = 0
• Divide 162 by 3: 162 ÷ 3 : Remainder = 0
• Divide 162 by 6: 162 ÷ 6 : Remainder = 0
• Divide 162 by 9: 162 ÷ 9 : Remainder = 0
• Divide 162 by 18: 162 ÷ 18 : Remainder = 0
• Divide 162 by 27: 162 ÷ 27 : Remainder = 0
• Divide 162 by 54: 162 ÷ 54 : Remainder = 0
• Divide 162 by 81: 162 ÷ 81 : Remainder = 0
• Divide 162 by 162: 162 ÷ 162 : Remainder = 0

Hence, Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162

#### 2. Steps to find factors of 162 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 162 using the division method, follow these steps:

• Step 1. Start dividing 162 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 162, which is 2. Divide 162 by 2 to obtain the quotient (81).
162 ÷ 2 = 81
• Step 3. Repeat step 1 with the obtained quotient (81).
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So, the prime factorization of 162 is, 162 = 2 x 3 x 3 x 3 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 162 as shown below:

So, the prime factorization of 162 is, 162 = 2 x 3 x 3 x 3 x 3.

#### 3. Find factors of 162 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 162 would be the two numbers which, when multiplied, give 162 as the result.

The following table represents the calculation of factors of 162 in pairs:

Factor Pair Pair Factorization
1 and 162 1 x 162 = 162
2 and 81 2 x 81 = 162
3 and 54 3 x 54 = 162
6 and 27 6 x 27 = 162
9 and 18 9 x 18 = 162

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 162. They are called negative pair factors.

Hence, the negative pairs of 162 would be ( -1 , -162 ) , ( -2 , -81 ) , ( -3 , -54 ) , ( -6 , -27 ) and ( -9 , -18 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 162 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 are exact divisors of 162.
• 1 is a factor of every number. Eg. 1 is a factor of 162.
• Every number is a factor of zero (0), since 162 x 0 = 0.

• Which is the smallest prime factor of 162?

Smallest prime factor of 162 is 2.

• Is 162 a perfect square?

No 162 is not a perfect square.

• What are five multiples of 162?

First five multiples of 162 are 324, 486, 648, 810, 972.

• What is prime factorization of 162?

Prime factorization of 162 is 2 x 3 x 3 x 3 x 3.

• What are factors of 162?

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.

• How do you find factors of a negative number? ( eg. -162 )?

Factors of -162 are -1, -2, -3, -6, -9, -18, -27, -54, -81, -162.

• Is 162 a whole number?

Yes 162 is a whole number.

• Which is greatest factor of 162?

The greatest factor of 162 is 81.

• What are the prime factors of 162?

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
Prime factors of 162 are 2, 3, 3, 3, 3.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 162. Can you help her?

Prime factors of 162 are 2, 3, 3, 3, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 162?

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
Even factors of 162 are 2, 6, 18, 54, 162.
Hence, product of even factors of 162 is; 2 x 6 x 18 x 54 x 162 = 1889568.

Joy wants to calculate mean of all the factors of 162. Help him in finding the mean of 162.

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 162 is 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 = 363.
Hence, the mean of factors of 162 is 363 ÷ 10 = 36.30.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 162? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
Negative factors are -1, -2, -3, -6, -9, -18, -27, -54, -81, -162.

How many factors are there for 162?

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
So there are in total 10 factors.

Joey wants to write all the prime factors of 162 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 162 are 2, 3, 3, 3, 3.
So in exponential form it can be written as 2 x 34.

Kevin has been asked to write 9 factor(s) of 162. Can you predict the answer?

9 factor(s) of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81.