# Factors of 2241

Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, and 2241

#### How to find factors of a number

 1.   Find factors of 2241 using Division Method 2.   Find factors of 2241 using Prime Factorization 3.   Find factors of 2241 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2241

• Divide 2241 by 1: 2241 ÷ 1 : Remainder = 0
• Divide 2241 by 3: 2241 ÷ 3 : Remainder = 0
• Divide 2241 by 9: 2241 ÷ 9 : Remainder = 0
• Divide 2241 by 27: 2241 ÷ 27 : Remainder = 0
• Divide 2241 by 83: 2241 ÷ 83 : Remainder = 0
• Divide 2241 by 249: 2241 ÷ 249 : Remainder = 0
• Divide 2241 by 747: 2241 ÷ 747 : Remainder = 0
• Divide 2241 by 2241: 2241 ÷ 2241 : Remainder = 0

Hence, Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, and 2241

#### 2. Steps to find factors of 2241 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 2241 using the division method, follow these steps:

• Step 1. Start dividing 2241 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 2241, which is 3. Divide 2241 by 3 to obtain the quotient (747).
2241 ÷ 3 = 747
• Step 3. Repeat step 1 with the obtained quotient (747).
747 ÷ 3 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1

So, the prime factorization of 2241 is, 2241 = 3 x 3 x 3 x 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2241 as shown below:

So, the prime factorization of 2241 is, 2241 = 3 x 3 x 3 x 83.

#### 3. Find factors of 2241 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 2241 would be the two numbers which, when multiplied, give 2241 as the result.

The following table represents the calculation of factors of 2241 in pairs:

Factor Pair Pair Factorization
1 and 2241 1 x 2241 = 2241
3 and 747 3 x 747 = 2241
9 and 249 9 x 249 = 2241
27 and 83 27 x 83 = 2241

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 2241. They are called negative pair factors.

Hence, the negative pairs of 2241 would be ( -1 , -2241 ) , ( -3 , -747 ) , ( -9 , -249 ) and ( -27 , -83 ) .

#### 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, 3, 9, 27, 83, 249, 747, 2241 are exact divisors of 2241.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2241 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2241.

• Which is the smallest prime factor of 2241?

Smallest prime factor of 2241 is 3.

• Is 2241 a perfect square?

No 2241 is not a perfect square.

• What are five multiples of 2241?

First five multiples of 2241 are 4482, 6723, 8964, 11205, 13446.

• What is prime factorization of 2241?

Prime factorization of 2241 is 3 x 3 x 3 x 83.

• What are factors of 2241?

Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.

• How do you find factors of a negative number? ( eg. -2241 )?

Factors of -2241 are -1, -3, -9, -27, -83, -249, -747, -2241.

• Is 2241 a whole number?

Yes 2241 is a whole number.

• Which is greatest factor of 2241?

The greatest factor of 2241 is 747.

• What are the prime factors of 2241?

The factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.
Prime factors of 2241 are 3, 3, 3, 83.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2241. Can you help her?

Prime factors of 2241 are 3, 3, 3, 83.
Hence, the product of prime factors of 249.

Can you help Rubel to find out the product of the even factors of 2241?

Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.
Even factors of 2241 are 0.
Hence, product of even factors of 2241 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2241. Help him in finding the mean of 2241.

Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2241 is 1 + 3 + 9 + 27 + 83 + 249 + 747 + 2241 = 3360.
Hence, the mean of factors of 2241 is 3360 ÷ 8 = 420.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2241? Help her in writing all the factors.

Positive factors are 1, 3, 9, 27, 83, 249, 747, 2241.
Negative factors are -1, -3, -9, -27, -83, -249, -747, -2241.

How many factors are there for 2241?

Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.
So there are in total 8 factors.

Joey wants to write all the prime factors of 2241 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2241 are 3, 3, 3, 83.
So in exponential form it can be written as 33 x 83.

Kevin has been asked to write 7 factor(s) of 2241. Can you predict the answer?

7 factor(s) of 2241 are 1, 3, 9, 27, 83, 249, 747.