# Factors of 22

Factors of 22 are 1, 2, 11, and 22

#### How to find factors of a number

 1.   Find factors of 22 using Division Method 2.   Find factors of 22 using Prime Factorization 3.   Find factors of 22 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 22

• Divide 22 by 1: 22 ÷ 1 : Remainder = 0
• Divide 22 by 2: 22 ÷ 2 : Remainder = 0
• Divide 22 by 11: 22 ÷ 11 : Remainder = 0
• Divide 22 by 22: 22 ÷ 22 : Remainder = 0

Hence, Factors of 22 are 1, 2, 11, and 22

#### 2. Steps to find factors of 22 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 22 using the division method, follow these steps:

• Step 1. Start dividing 22 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 22, which is 2. Divide 22 by 2 to obtain the quotient (11).
22 ÷ 2 = 11
• Step 3. Repeat step 1 with the obtained quotient (11).
11 ÷ 11 = 1

So, the prime factorization of 22 is, 22 = 2 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 22 as shown below:

So, the prime factorization of 22 is, 22 = 2 x 11.

#### 3. Find factors of 22 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 22 would be the two numbers which, when multiplied, give 22 as the result.

The following table represents the calculation of factors of 22 in pairs:

Factor Pair Pair Factorization
1 and 22 1 x 22 = 22
2 and 11 2 x 11 = 22

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 22. They are called negative pair factors.

Hence, the negative pairs of 22 would be ( -1 , -22 ) , ( -2 , -11 ) .

#### 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. 22 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, 11, 22 are exact divisors of 22.
• 1 is a factor of every number. Eg. 1 is a factor of 22.
• Every number is a factor of zero (0), since 22 x 0 = 0.

• Is 22 a perfect square?

No 22 is not a perfect square.

• What are factors of 22?

Factors of 22 are 1, 2, 11, 22.

• Which is greatest factor of 22?

The greatest factor of 22 is 11.

• What is the sum of all factors of 22?

The sum of all factors of 22 is 36.

• What are multiples of 22?

First five multiples of 22 are 44, 66, 88, 110.

• What is the greatest prime factors of 22?

The greatest prime factor of 22 is 11.

• What are six multiples of 22?

First five multiples of 22 are 44, 66, 88, 110, 132, 154.

• What is prime factorization of 22?

Prime factorization of 22 is 2 x 11.

• Is 22 a whole number?

Yes 22 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 22? Help her in writing all the factors.

Positive factors are 1, 2, 11, 22.
Negative factors are -1, -2, -11, -22.

Can you help Sammy find out the product of the odd factors of 22?

Factors of 22 are 1, 2, 11, 22.
Odd factors of 22 are 1, 11.
Hence product of odd factors of 22 is; 1 x 11 = 11.

Joey wants to write all the prime factors of 22 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 22 are 2, 11.
So in exponential form it can be written as 2 x 11.

How many factors are there for 22?

Factors of 22 are 1, 2, 11, 22.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 22. Can you predict the answer?

3 factor(s) of 22 are 1, 2, 11.

Sammy is puzzled while calculating the prime factors of 22. Can you help him find them?

Factors of 22 are 1, 2, 11, 22.
Prime factors of 22 are 2, 11

What is prime factorization of 22?

Prime factorization of 22 is 2 x 11 = 2 x 11.