Factors of 2187
Factors of 2187 are integers that can be divided evenly into 2187. There are 8 factors of 2187, which are 1, 3, 9, 27, 81, 243, 729, 2187. Here, 2187 is the biggest factor. The sum of all factors of 2187 is 3280 and its factors in Pairs are (1, 2187), (3, 729), (9, 243), (27, 81).
 All Factors of 2187: 1, 3, 9, 27, 81, 243, 729 and 2187
 Negative Factors of 2187: 1, 3, 9, 27, 81, 243, 729 and 2187
 Prime Factors of 2187: 3
 Prime Factorization of 2187: 3^{7}
 Sum of Factors of 2187: 3280
1.  What Are the Factors of 2187? 
2.  Factors of 2187 by Prime Factorization 
3.  Factors of 2187 in Pairs 
4.  FAQs on Factors of 2187 
What are Factors of 2187?
Factors of 2187 are pairs of those numbers whose products result in 2187. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2187?
To find the factors of 2187, we will have to find the list of numbers that would divide 2187 without leaving any remainder.
 2187/9 = 243; therefore, 9 is a factor of 2187 and 243 is also a factor of 2187.
 2187/3 = 729; therefore, 3 is a factor of 2187 and 729 is also a factor of 2187.
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Factors of 2187 by Prime Factorization
 2187 ÷ 3 = 729
 729 ÷ 3 = 243
 243 ÷ 3 = 81
 81 ÷ 3 = 27
 27 ÷ 3 = 9
 9 ÷ 3 = 3
 3 ÷ 3 = 1
Further dividing 1 by 3 gives a nonzero remainder. So we stop the process and continue dividing the number 1 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
Since, we can't divide any further in this case so we stop.
So, the prime factorization of 2187 is 3^{7}.
Factors of 2187 in Pairs
Pair factors of 2187 are the pairs of numbers that when multiplied give the product 2187. The factors of 2187 in pairs are:
 1 × 2187 = (1, 2187)
 3 × 729 = (3, 729)
 9 × 243 = (9, 243)
 27 × 81 = (27, 81)
Negative pair factors of 2187 are:
 1 × 2187 = (1, 2187)
 3 × 729 = (3, 729)
 9 × 243 = (9, 243)
 27 × 81 = (27, 81)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2187 Solved Examples

Example 1: How many factors are there for 2187?
Solution:
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. Therefore, 2187 has 8 factors.

Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 2187 and 1337.
Solution:
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187 and factors of 1337 are 1, 7, 191, 1337.
Therefore, the Least Common Multiple (LCM) of 2187 and 1337 is 2924019 and Greatest Common Divisor (GCD) of 2187 and 1337 is 1. 
Example 3: Find if 1, 81, 729, 1118 and 2187 are factors of 2187.
Solution:
When we divide 2187 by 1118 it leaves a remainder. Therefore, the number 1118 is not a factor of 2187. All numbers except 1118 are factors of 2187.

Example 4: Find the product of all the prime factors of 2187.
Solution:
Since, the prime factor of 2187 is 3. Therefore, the product of prime factors = 3.
FAQs on Factors of 2187
What are the Factors of 2187?
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187 and its negative factors are 1, 3, 9, 27, 81, 243, 729, 2187.
What is the Sum of all Factors of 2187?
Sum of all factors of 2187 = (3^{7 + 1}  1)/(3  1) = 3280
What are the Pair Factors of 2187?
The pair factors of 2187 are (1, 2187), (3, 729), (9, 243), (27, 81).
What is the Greatest Common Factor of 2187 and 905?
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187 and the factors of 905 are 1, 5, 181, 905. 2187 and 905 have only one common factor which is 1. This implies that 2187 and 905 are coprime.
Hence, the Greatest Common Factor (GCF) of 2187 and 905 is 1.
How Many Factors of 2187 are also common to the Factors of 362?
Since, the factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187 and factors of 362 are 1, 2, 181, 362. Hence, 2187 and 362 have only one common factor which is 1. Therefore, 2187 and 362 are coprime.
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