# Factors of 19683

Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, and 19683

#### How to find factors of a number

 1.   Find factors of 19683 using Division Method 2.   Find factors of 19683 using Prime Factorization 3.   Find factors of 19683 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 19683

• Divide 19683 by 1: 19683 ÷ 1 : Remainder = 0
• Divide 19683 by 3: 19683 ÷ 3 : Remainder = 0
• Divide 19683 by 9: 19683 ÷ 9 : Remainder = 0
• Divide 19683 by 27: 19683 ÷ 27 : Remainder = 0
• Divide 19683 by 81: 19683 ÷ 81 : Remainder = 0
• Divide 19683 by 243: 19683 ÷ 243 : Remainder = 0
• Divide 19683 by 729: 19683 ÷ 729 : Remainder = 0
• Divide 19683 by 2187: 19683 ÷ 2187 : Remainder = 0
• Divide 19683 by 6561: 19683 ÷ 6561 : Remainder = 0
• Divide 19683 by 19683: 19683 ÷ 19683 : Remainder = 0

Hence, Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, and 19683

#### 2. Steps to find factors of 19683 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 19683 using the division method, follow these steps:

• Step 1. Start dividing 19683 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 19683, which is 3. Divide 19683 by 3 to obtain the quotient (6561).
19683 ÷ 3 = 6561
• Step 3. Repeat step 1 with the obtained quotient (6561).
6561 ÷ 3 = 2187
2187 ÷ 3 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So, the prime factorization of 19683 is, 19683 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 19683 as shown below:

So, the prime factorization of 19683 is, 19683 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

#### 3. Find factors of 19683 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 19683 would be the two numbers which, when multiplied, give 19683 as the result.

The following table represents the calculation of factors of 19683 in pairs:

Factor Pair Pair Factorization
1 and 19683 1 x 19683 = 19683
3 and 6561 3 x 6561 = 19683
9 and 2187 9 x 2187 = 19683
27 and 729 27 x 729 = 19683
81 and 243 81 x 243 = 19683

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 19683. They are called negative pair factors.

Hence, the negative pairs of 19683 would be ( -1 , -19683 ) , ( -3 , -6561 ) , ( -9 , -2187 ) , ( -27 , -729 ) and ( -81 , -243 ) .

#### 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 19683 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, 9, 27, 81, 243, 729, 2187, 6561, 19683 are exact divisors of 19683.
• Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683. Each factor divides 19683 without leaving a remainder.

• Which is the smallest prime factor of 19683?

Smallest prime factor of 19683 is 3.

• Is 19683 a perfect square?

No 19683 is not a perfect square.

• What are five multiples of 19683?

First five multiples of 19683 are 39366, 59049, 78732, 98415, 118098.

• What is prime factorization of 19683?

Prime factorization of 19683 is 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

• What are factors of 19683?

Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.

• How do you find factors of a negative number? ( eg. -19683 )?

Factors of -19683 are -1, -3, -9, -27, -81, -243, -729, -2187, -6561, -19683.

• Is 19683 a whole number?

Yes 19683 is a whole number.

• Which is greatest factor of 19683?

The greatest factor of 19683 is 6561.

• What are the prime factors of 19683?

The factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.
Prime factors of 19683 are 3, 3, 3, 3, 3, 3, 3, 3, 3.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 19683. Can you help her?

Prime factors of 19683 are 3, 3, 3, 3, 3, 3, 3, 3, 3.
Hence, the product of prime factors of 3.

Can you help Rubel to find out the product of the even factors of 19683?

Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.
Even factors of 19683 are 0.
Hence, product of even factors of 19683 is; 0 = 0.

Joy wants to calculate mean of all the factors of 19683. Help him in finding the mean of 19683.

Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 19683 is 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 = 29524.
Hence, the mean of factors of 19683 is 29524 ÷ 10 = 2952.40.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 19683? Help her in writing all the factors.

Positive factors are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.
Negative factors are -1, -3, -9, -27, -81, -243, -729, -2187, -6561, -19683.

How many factors are there for 19683?

Factors of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683.
So there are in total 10 factors.

Joey wants to write all the prime factors of 19683 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 19683 are 3, 3, 3, 3, 3, 3, 3, 3, 3.
So in exponential form it can be written as 39.

Kevin has been asked to write 9 factor(s) of 19683. Can you predict the answer?

9 factor(s) of 19683 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561.