# Factors of 1323

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, and 1323

#### How to find factors of a number

 1.   Find factors of 1323 using Division Method 2.   Find factors of 1323 using Prime Factorization 3.   Find factors of 1323 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1323

• Divide 1323 by 1: 1323 ÷ 1 : Remainder = 0
• Divide 1323 by 3: 1323 ÷ 3 : Remainder = 0
• Divide 1323 by 7: 1323 ÷ 7 : Remainder = 0
• Divide 1323 by 9: 1323 ÷ 9 : Remainder = 0
• Divide 1323 by 21: 1323 ÷ 21 : Remainder = 0
• Divide 1323 by 27: 1323 ÷ 27 : Remainder = 0
• Divide 1323 by 49: 1323 ÷ 49 : Remainder = 0
• Divide 1323 by 63: 1323 ÷ 63 : Remainder = 0
• Divide 1323 by 147: 1323 ÷ 147 : Remainder = 0
• Divide 1323 by 189: 1323 ÷ 189 : Remainder = 0
• Divide 1323 by 441: 1323 ÷ 441 : Remainder = 0
• Divide 1323 by 1323: 1323 ÷ 1323 : Remainder = 0

Hence, Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, and 1323

#### 2. Steps to find factors of 1323 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 1323 using the division method, follow these steps:

• Step 1. Start dividing 1323 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 1323, which is 3. Divide 1323 by 3 to obtain the quotient (441).
1323 ÷ 3 = 441
• Step 3. Repeat step 1 with the obtained quotient (441).
441 ÷ 3 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 1323 is, 1323 = 3 x 3 x 3 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1323 as shown below:

So, the prime factorization of 1323 is, 1323 = 3 x 3 x 3 x 7 x 7.

#### 3. Find factors of 1323 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 1323 would be the two numbers which, when multiplied, give 1323 as the result.

The following table represents the calculation of factors of 1323 in pairs:

Factor Pair Pair Factorization
1 and 1323 1 x 1323 = 1323
3 and 441 3 x 441 = 1323
7 and 189 7 x 189 = 1323
9 and 147 9 x 147 = 1323
21 and 63 21 x 63 = 1323
27 and 49 27 x 49 = 1323

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 1323. They are called negative pair factors.

Hence, the negative pairs of 1323 would be ( -1 , -1323 ) , ( -3 , -441 ) , ( -7 , -189 ) , ( -9 , -147 ) , ( -21 , -63 ) and ( -27 , -49 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 1323 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, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323 are exact divisors of 1323.
• Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. Each factor divides 1323 without leaving a remainder.

#### Frequently Asked Questions

• Which is the smallest prime factor of 1323?

Smallest prime factor of 1323 is 3.

• Is 1323 a perfect square?

No 1323 is not a perfect square.

• What are five multiples of 1323?

First five multiples of 1323 are 2646, 3969, 5292, 6615, 7938.

• What is prime factorization of 1323?

Prime factorization of 1323 is 3 x 3 x 3 x 7 x 7.

• What are factors of 1323?

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.

• How do you find factors of a negative number? ( eg. -1323 )?

Factors of -1323 are -1, -3, -7, -9, -21, -27, -49, -63, -147, -189, -441, -1323.

• Is 1323 a whole number?

Yes 1323 is a whole number.

• Which is greatest factor of 1323?

The greatest factor of 1323 is 441.

• What are the prime factors of 1323?

The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
Prime factors of 1323 are 3, 3, 3, 7, 7.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1323. Can you help her?

Prime factors of 1323 are 3, 3, 3, 7, 7.
Hence, the product of prime factors of 21.

Can you help Rubel to find out the product of the even factors of 1323?

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
Even factors of 1323 are 0.
Hence, product of even factors of 1323 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1323. Help him in finding the mean of 1323.

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1323 is 1 + 3 + 7 + 9 + 21 + 27 + 49 + 63 + 147 + 189 + 441 + 1323 = 2280.
Hence, the mean of factors of 1323 is 2280 ÷ 12 = 190.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1323? Help her in writing all the factors.

Positive factors are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
Negative factors are -1, -3, -7, -9, -21, -27, -49, -63, -147, -189, -441, -1323.

How many factors are there for 1323?

Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
So there are in total 12 factors.

Joey wants to write all the prime factors of 1323 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1323 are 3, 3, 3, 7, 7.
So in exponential form it can be written as 33 x 72.

Kevin has been asked to write 11 factor(s) of 1323. Can you predict the answer?

11 factor(s) of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441.

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