Factors of 1331
Factors of 1331 are numbers that, when multiplied in pairs give the product as 1331. There are overall 4 factors of 1331 i.e. 1, 11, 121, 1331 where 1331 is the biggest factor. The sum of all factors of 1331 is 1464 and its factors in Pairs are (1, 1331), (11, 121).
 All Factors of 1331: 1, 11, 121 and 1331
 Negative Factors of 1331: 1, 11, 121 and 1331
 Prime Factors of 1331: 11
 Prime Factorization of 1331: 11^{3}
 Sum of Factors of 1331: 1464
1.  What Are the Factors of 1331? 
2.  Factors of 1331 by Prime Factorization 
3.  Factors of 1331 in Pairs 
4.  FAQs on Factors of 1331 
What are Factors of 1331?
Factors of 1331 are pairs of those numbers whose products result in 1331. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1331?
To find the factors of 1331, we will have to find the list of numbers that would divide 1331 without leaving any remainder.
 1331/11 = 121; therefore, 11 is a factor of 1331 and 121 is also a factor of 1331.
 1331/1 = 1331; therefore, 1 is a factor of 1331 and 1331 is also a factor of 1331.
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Factors of 1331 by Prime Factorization
 1331 ÷ 11 = 121
 121 ÷ 11 = 11
 11 ÷ 11 = 1
Further dividing 1 by 11 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 1331 is 11^{3}.
Factors of 1331 in Pairs
Pair factors of 1331 are the pairs of numbers that when multiplied give the product 1331. The factors of 1331 in pairs are:
 1 × 1331 = (1, 1331)
 11 × 121 = (11, 121)
Negative pair factors of 1331 are:
 1 × 1331 = (1, 1331)
 11 × 121 = (11, 121)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1331 Solved Examples

Example 1: How many factors are there for 1331?
Solution:
The factors of 1331 are 1, 11, 121, 1331. Therefore, 1331 has 4 factors.

Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 1331 and 148.
Solution:
The factors of 1331 are 1, 11, 121, 1331 and factors of 148 are 1, 2, 4, 37, 74, 148.
Therefore, the Least Common Multiple of 1331 and 148 is 196988 and Greatest Common Factor (GCF) of 1331 and 148 is 1. 
Example 3: Find if 11, 121 and 143 are factors of 1331.
Solution:
When we divide 1331 by 143 it leaves a remainder. Therefore, the number 143 is not a factor of 1331. All numbers except 143 are factors of 1331.

Example 4: Find the product of all the prime factors of 1331.
Solution:
Since, the prime factor of 1331 is 11. Therefore, the product of prime factors = 11.
FAQs on Factors of 1331
What are the Factors of 1331?
The factors of 1331 are 1, 11, 121, 1331 and its negative factors are 1, 11, 121, 1331.
What is the Sum of the Factors of 1331?
Since, all factors of 1331 are 1, 11, 121, 1331 therefore, the sum of its factors is 1 + 11 + 121 + 1331 = 1464.
What are the Pair Factors of 1331?
The pair factors of 1331 are (1, 1331), (11, 121).
What is the Greatest Common Factor of 1331 and 1309?
The factors of 1331 and 1309 are 1, 11, 121, 1331 and 1, 7, 11, 17, 77, 119, 187, 1309 respectively.
Common factors of 1331 and 1309 are [1, 11].
Hence, the Greatest Common Factor of 1331 and 1309 is 11.
How Many Factors of 1285 are also common to the Factors of 1331?
Since, the factors of 1331 are 1, 11, 121, 1331 and factors of 1285 are 1, 5, 257, 1285. Hence, 1331 and 1285 have only one common factor which is 1. Therefore, 1331 and 1285 are coprime.
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