# Factors of 220

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220

#### How to find factors of a number

 1.   Find factors of 220 using Division Method 2.   Find factors of 220 using Prime Factorization 3.   Find factors of 220 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 220

• Divide 220 by 1: 220 ÷ 1 : Remainder = 0
• Divide 220 by 2: 220 ÷ 2 : Remainder = 0
• Divide 220 by 4: 220 ÷ 4 : Remainder = 0
• Divide 220 by 5: 220 ÷ 5 : Remainder = 0
• Divide 220 by 10: 220 ÷ 10 : Remainder = 0
• Divide 220 by 11: 220 ÷ 11 : Remainder = 0
• Divide 220 by 20: 220 ÷ 20 : Remainder = 0
• Divide 220 by 22: 220 ÷ 22 : Remainder = 0
• Divide 220 by 44: 220 ÷ 44 : Remainder = 0
• Divide 220 by 55: 220 ÷ 55 : Remainder = 0
• Divide 220 by 110: 220 ÷ 110 : Remainder = 0
• Divide 220 by 220: 220 ÷ 220 : Remainder = 0

Hence, Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220

#### 2. Steps to find factors of 220 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 220 using the division method, follow these steps:

• Step 1. Start dividing 220 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 220, which is 2. Divide 220 by 2 to obtain the quotient (110).
220 ÷ 2 = 110
• Step 3. Repeat step 1 with the obtained quotient (110).
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 220 is, 220 = 2 x 2 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 220 as shown below:

So, the prime factorization of 220 is, 220 = 2 x 2 x 5 x 11.

#### 3. Find factors of 220 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 220 would be the two numbers which, when multiplied, give 220 as the result.

The following table represents the calculation of factors of 220 in pairs:

Factor Pair Pair Factorization
1 and 220 1 x 220 = 220
2 and 110 2 x 110 = 220
4 and 55 4 x 55 = 220
5 and 44 5 x 44 = 220
10 and 22 10 x 22 = 220
11 and 20 11 x 20 = 220

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 220. They are called negative pair factors.

Hence, the negative pairs of 220 would be ( -1 , -220 ) , ( -2 , -110 ) , ( -4 , -55 ) , ( -5 , -44 ) , ( -10 , -22 ) and ( -11 , -20 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 220 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 220.
• Every number is a factor of zero (0), since 220 x 0 = 0.
• 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, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220 are exact divisors of 220.
• Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. Each factor divides 220 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220 are all less than or equal to 220.

• Is 220 a perfect square?

No 220 is not a perfect square.

• What are factors of 220?

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.

• Which is greatest factor of 220?

The greatest factor of 220 is 110.

• What is the sum of all factors of 220?

The sum of all factors of 220 is 504.

• What are multiples of 220?

First five multiples of 220 are 440, 660, 880, 1100.

• What is the greatest prime factors of 220?

The greatest prime factor of 220 is 11.

• What are six multiples of 220?

First five multiples of 220 are 440, 660, 880, 1100, 1320, 1540.

• What is prime factorization of 220?

Prime factorization of 220 is 2 x 2 x 5 x 11.

• Is 220 a whole number?

Yes 220 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 220? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.
Negative factors are -1, -2, -4, -5, -10, -11, -20, -22, -44, -55, -110, -220.

Can you help Sammy find out the product of the odd factors of 220?

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.
Odd factors of 220 are 1, 5, 11, 55.
Hence product of odd factors of 220 is; 1 x 5 x 11 x 55 = 3025.

Joey wants to write all the prime factors of 220 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 220 are 2, 2, 5, 11.
So in exponential form it can be written as 22 x 5 x 11.

How many factors are there for 220?

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 220. Can you predict the answer?

11 factor(s) of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110.

Sammy is puzzled while calculating the prime factors of 220. Can you help him find them?

Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220.
Prime factors of 220 are 2, 2, 5, 11

What is prime factorization of 220?

Prime factorization of 220 is 2 x 2 x 5 x 11 = 22 x 5 x 11.