Factors of 297
Factors of 297 are the list of integers that we can split evenly into 297. There are 8 factors of 297, which are 1, 3, 9, 11, 27, 33, 99, 297. Here, 297 is the biggest factor. The Prime Factors and Pair Factors of 297 are 3 × 11 and (1, 297), (3, 99), (9, 33), (11, 27) respectively.
 All Factors of 297: 1, 3, 9, 11, 27, 33, 99 and 297
 Negative Factors of 297: 1, 3, 9, 11, 27, 33, 99 and 297
 Prime Factors of 297: 3, 11
 Prime Factorization of 297: 3^{3} × 11^{1}
 Sum of Factors of 297: 480
1.  What Are the Factors of 297? 
2.  Factors of 297 by Prime Factorization 
3.  Factors of 297 in Pairs 
4.  FAQs on Factors of 297 
What are Factors of 297?
Factors of 297 are pairs of those numbers whose products result in 297. These factors are either prime numbers or composite numbers.
How to Find the Factors of 297?
To find the factors of 297, we will have to find the list of numbers that would divide 297 without leaving any remainder.
 297/1 = 297; therefore, 1 is a factor of 297.
 297/11 = 27; therefore, 11 is a factor of 297.
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Factors of 297 by Prime Factorization
 297 ÷ 3 = 99
 99 ÷ 3 = 33
 33 ÷ 3 = 11
Further dividing 11 by 3 gives a nonzero remainder. So we stop the process and continue dividing the number 11 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.
So, the prime factorization of 297 can be written as 3^{3} × 11^{1} where 3, 11 are prime.
Factors of 297 in Pairs
Pair factors of 297 are the pairs of numbers that when multiplied give the product 297. The factors of 297 in pairs are:
 1 × 297 = (1, 297)
 3 × 99 = (3, 99)
 9 × 33 = (9, 33)
 11 × 27 = (11, 27)
Negative pair factors of 297 are:
 1 × 297 = (1, 297)
 3 × 99 = (3, 99)
 9 × 33 = (9, 33)
 11 × 27 = (11, 27)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 297 Solved Examples

Example 1: How many factors are there for 297?
Solution:
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. Therefore, 297 has 8 factors.

Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 297 and 94.
Solution:
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297 and factors of 94 are 1, 2, 47, 94.
Therefore, the Lowest Common Multiple (LCM) of 297 and 94 is 27918 and Greatest Common Factor (GCF) of 297 and 94 is 1. 
Example 3: Find if 1, 11, 25, 27 and 297 are factors of 297.
Solution:
When we divide 297 by 25 it leaves a remainder. Therefore, the number 25 is not a factor of 297. All numbers except 25 are factors of 297.

Example 4: Find the product of all the prime factors of 297.
Solution:
Since, the prime factors of 297 are 3, 11. Therefore, the product of prime factors = 3 × 11 = 33.
FAQs on Factors of 297
What are the Factors of 297?
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297 and its negative factors are 1, 3, 9, 11, 27, 33, 99, 297.
What is the Sum of Factors of 297?
Sum of all factors of 297 = (3^{3 + 1}  1)/(3  1) × (11^{1 + 1}  1)/(11  1) = 480
What numbers are the Pair Factors of 297?
The pair factors of 297 are (1, 297), (3, 99), (9, 33), (11, 27).
What is the Greatest Common Factor of 297 and 218?
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297 and the factors of 218 are 1, 2, 109, 218. 297 and 218 have only one common factor which is 1. This implies that 297 and 218 are coprime.
Hence, the Greatest Common Factor (GCF) of 297 and 218 is 1.
What are the Common Factors of 297 and 129?
Since, the factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297 and the factors of 129 are 1, 3, 43, 129.
Hence, [1, 3] are the common factors of 297 and 129.
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