Factors of 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:

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.

Frequently Asked Questions

• 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