# Factors of 221

Factors of 221 are 1, 13, 17, and 221

#### How to find factors of a number

 1.   Find factors of 221 using Division Method 2.   Find factors of 221 using Prime Factorization 3.   Find factors of 221 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 221

• Divide 221 by 1: 221 ÷ 1 : Remainder = 0
• Divide 221 by 13: 221 ÷ 13 : Remainder = 0
• Divide 221 by 17: 221 ÷ 17 : Remainder = 0
• Divide 221 by 221: 221 ÷ 221 : Remainder = 0

Hence, Factors of 221 are 1, 13, 17, and 221

#### 2. Steps to find factors of 221 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 221 using the division method, follow these steps:

• Step 1. Start dividing 221 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 221, which is 13. Divide 221 by 13 to obtain the quotient (17).
221 ÷ 13 = 17
• Step 3. Repeat step 1 with the obtained quotient (17).
17 ÷ 17 = 1

So, the prime factorization of 221 is, 221 = 13 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 221 as shown below:

So, the prime factorization of 221 is, 221 = 13 x 17.

#### 3. Find factors of 221 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 221 would be the two numbers which, when multiplied, give 221 as the result.

The following table represents the calculation of factors of 221 in pairs:

Factor Pair Pair Factorization
1 and 221 1 x 221 = 221
13 and 17 13 x 17 = 221

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 221. They are called negative pair factors.

Hence, the negative pairs of 221 would be ( -1 , -221 ) , ( -13 , -17 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 13, 17, 221 are exact divisors of 221.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 221 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 221.

• What are the pair factors of 221?

Pair factors of 221 are (1,221), (13,17).

• What are five multiples of 221?

First five multiples of 221 are 442, 663, 884, 1105, 1326.

• What two numbers make 221?

Two numbers that make 221 are 13 and 17.

• What is the sum of all factors of 221?

The sum of all factors of 221 is 252.

• What are factors of -221?

Factors of -221 are -1, -13, -17, -221.

• What are factors of 221?

Factors of 221 are 1, 13, 17, 221.

• Is 221 a perfect square?

No 221 is not a perfect square.

• Which is the smallest prime factor of 221?

Smallest prime factor of 221 is 13.

• Which is greatest factor of 221?

The greatest factor of 221 is 17.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 221?

Factors of 221 are 1, 13, 17, 221.
Odd factors of 221 are 1, 13, 17, 221.
Hence product of odd factors of 221 is; 1 x 13 x 17 x 221 = 48841.

Joey wants to write all the prime factors of 221 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 221 are 13, 17.
So in exponential form it can be written as 13 x 17.

How many factors are there for 221?

Factors of 221 are 1, 13, 17, 221.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 221. Can you predict the answer?

3 factor(s) of 221 are 1, 13, 17.

Sammy is puzzled while calculating the prime factors of 221. Can you help him find them?

Factors of 221 are 1, 13, 17, 221.
Prime factors of 221 are 13, 17

What is prime factorization of 221?

Prime factorization of 221 is 13 x 17 = 13 x 17.

Can you help Rubel to find out the product of the even factors of 221?

Factors of 221 are 1, 13, 17, 221.
Even factors of 221 are 0.
Hence, product of even factors of 221 is; 0 = 0.