# Factors of 222

Factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222

#### How to find factors of a number

 1.   Find factors of 222 using Division Method 2.   Find factors of 222 using Prime Factorization 3.   Find factors of 222 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 222

• Divide 222 by 1: 222 ÷ 1 : Remainder = 0
• Divide 222 by 2: 222 ÷ 2 : Remainder = 0
• Divide 222 by 3: 222 ÷ 3 : Remainder = 0
• Divide 222 by 6: 222 ÷ 6 : Remainder = 0
• Divide 222 by 37: 222 ÷ 37 : Remainder = 0
• Divide 222 by 74: 222 ÷ 74 : Remainder = 0
• Divide 222 by 111: 222 ÷ 111 : Remainder = 0
• Divide 222 by 222: 222 ÷ 222 : Remainder = 0

Hence, Factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222

#### 2. Steps to find factors of 222 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 222 using the division method, follow these steps:

• Step 1. Start dividing 222 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 222, which is 2. Divide 222 by 2 to obtain the quotient (111).
222 ÷ 2 = 111
• Step 3. Repeat step 1 with the obtained quotient (111).
111 ÷ 3 = 37
37 ÷ 37 = 1

So, the prime factorization of 222 is, 222 = 2 x 3 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 222 as shown below:

So, the prime factorization of 222 is, 222 = 2 x 3 x 37.

#### 3. Find factors of 222 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 222 would be the two numbers which, when multiplied, give 222 as the result.

The following table represents the calculation of factors of 222 in pairs:

Factor Pair Pair Factorization
1 and 222 1 x 222 = 222
2 and 111 2 x 111 = 222
3 and 74 3 x 74 = 222
6 and 37 6 x 37 = 222

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 222. They are called negative pair factors.

Hence, the negative pairs of 222 would be ( -1 , -222 ) , ( -2 , -111 ) , ( -3 , -74 ) and ( -6 , -37 ) .

#### 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. 222 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, 37, 74, 111, 222 are exact divisors of 222.
• 1 is a factor of every number. Eg. 1 is a factor of 222.
• Every number is a factor of zero (0), since 222 x 0 = 0.

• How do you find factors of a negative number? ( eg. -222 )?

Factors of -222 are -1, -2, -3, -6, -37, -74, -111, -222.

• What is the sum of all factors of 222?

The sum of all factors of 222 is 456.

• What is prime factorization of 222?

Prime factorization of 222 is 2 x 3 x 37.

• What are the pair factors of 222?

Pair factors of 222 are (1,222), (2,111), (3,74), (6,37).

• What are six multiples of 222?

First five multiples of 222 are 444, 666, 888, 1110, 1332, 1554.

• Is 222 a whole number?

Yes 222 is a whole number.

• Which is the smallest prime factor of 222?

Smallest prime factor of 222 is 2.

• What are five multiples of 222?

First five multiples of 222 are 444, 666, 888, 1110, 1332.

• Write all factors of 222?

Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222.

#### Examples of Factors

Joey wants to write all the prime factors of 222 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 222 are 2, 3, 37.
So in exponential form it can be written as 2 x 3 x 37.

How many factors are there for 222?

Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 222. Can you predict the answer?

7 factor(s) of 222 are 1, 2, 3, 6, 37, 74, 111.

Sammy is puzzled while calculating the prime factors of 222. Can you help him find them?

Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222.
Prime factors of 222 are 2, 3, 37

What is prime factorization of 222?

Prime factorization of 222 is 2 x 3 x 37 = 2 x 3 x 37.

Ariel has been assigned the task to find the product of all the prime factors of 222. Can you help her?

Prime factors of 222 are 2, 3, 37.
Hence, the product of prime factors of 222.

Can you help Rubel to find out the product of the even factors of 222?

Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222.
Even factors of 222 are 2, 6, 74, 222.
Hence, product of even factors of 222 is; 2 x 6 x 74 x 222 = 197136.