1. Steps to find factors of 2187 using Division Method

Example: Find factors of 2187

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

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

2. Steps to find factors of 2187 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 2187 using the division method, follow these steps:

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

So, the prime factorization of 2187 is, 2187 = 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 2187 as shown below:

So, the prime factorization of 2187 is, 2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3.

3. Find factors of 2187 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 2187 would be the two numbers which, when multiplied, give 2187 as the result.

The following table represents the calculation of factors of 2187 in pairs:

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

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 2187. They are called negative pair factors.

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

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 2187 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 are exact divisors of 2187.
  • Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. Each factor divides 2187 without leaving a remainder.

Frequently Asked Questions

  • Which is the smallest prime factor of 2187?

    Smallest prime factor of 2187 is 3.

  • Is 2187 a perfect square?

    No 2187 is not a perfect square.

  • What are five multiples of 2187?

    First five multiples of 2187 are 4374, 6561, 8748, 10935, 13122.

  • What is prime factorization of 2187?

    Prime factorization of 2187 is 3 x 3 x 3 x 3 x 3 x 3 x 3.

  • What are factors of 2187?

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

  • How do you find factors of a negative number? ( eg. -2187 )?

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

  • Is 2187 a whole number?

    Yes 2187 is a whole number.

  • Which is greatest factor of 2187?

    The greatest factor of 2187 is 729.

  • What are the prime factors of 2187?

    The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187.
    Prime factors of 2187 are 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 2187. Can you help her?

Prime factors of 2187 are 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 2187?

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

Joy wants to calculate mean of all the factors of 2187. Help him in finding the mean of 2187.

Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2187 is 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 = 3280.
Hence, the mean of factors of 2187 is 3280 ÷ 8 = 410.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2187? Help her in writing all the factors.

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

How many factors are there for 2187?

Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187.
So there are in total 8 factors.

Joey wants to write all the prime factors of 2187 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2187 are 3, 3, 3, 3, 3, 3, 3.
So in exponential form it can be written as 37.

Kevin has been asked to write 7 factor(s) of 2187. Can you predict the answer?

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