Factors of 1081
Factors of 1081 are integers that can be divided evenly into 1081. There are total 4 factors of 1081 i.e. 1, 23, 47, 1081. The sum of all factors of 1081 is 1152. Its Prime Factors are 23 × 47 and (1, 1081), (23, 47) are Pair Factors.
 All Factors of 1081: 1, 23, 47 and 1081
 Negative Factors of 1081: 1, 23, 47 and 1081
 Prime Factors of 1081: 23, 47
 Prime Factorization of 1081: 23^{1} × 47^{1}
 Sum of Factors of 1081: 1152
1.  What Are the Factors of 1081? 
2.  Factors of 1081 by Prime Factorization 
3.  Factors of 1081 in Pairs 
4.  FAQs on Factors of 1081 
What are Factors of 1081?
Factors of 1081 are pairs of those numbers whose products result in 1081. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1081?
To find the factors of 1081, we will have to find the list of numbers that would divide 1081 without leaving any remainder.
 1081/47 = 23; therefore, 47 is a factor of 1081 and 23 is also a factor of 1081.
 1081/1 = 1081; therefore, 1 is a factor of 1081 and 1081 is also a factor of 1081.
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Factors of 1081 by Prime Factorization
 1081 ÷ 23 = 47
Further dividing 47 by 23 gives a nonzero remainder. So we stop the process and continue dividing the number 47 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 1081 can be written as 23^{1} × 47^{1} where 23, 47 are prime.
Factors of 1081 in Pairs
Pair factors of 1081 are the pairs of numbers that when multiplied give the product 1081. The factors of 1081 in pairs are:
 1 × 1081 = (1, 1081)
 23 × 47 = (23, 47)
Negative pair factors of 1081 are:
 1 × 1081 = (1, 1081)
 23 × 47 = (23, 47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1081 Solved Examples

Example 1: How many factors are there for 1081?
Solution:
The factors of 1081 are 1, 23, 47, 1081. Therefore, 1081 has 4 factors.

Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 1081 and 982.
Solution:
The factors of 1081 are 1, 23, 47, 1081 and factors of 982 are 1, 2, 491, 982.
Therefore, the Least Common Multiple of 1081 and 982 is 1061542 and Greatest Common Factor (GCF) of 1081 and 982 is 1. 
Example 3: Find if 23, 47 and 813 are factors of 1081.
Solution:
When we divide 1081 by 813 it leaves a remainder. Therefore, the number 813 is not a factor of 1081. All numbers except 813 are factors of 1081.

Example 4: Find the product of all the prime factors of 1081.
Solution:
Since, the prime factors of 1081 are 23, 47. Therefore, the product of prime factors = 23 × 47 = 1081.
FAQs on Factors of 1081
What are the Factors of 1081?
The factors of 1081 are 1, 23, 47, 1081 and its negative factors are 1, 23, 47, 1081.
What is the Sum of Factors of 1081?
Since, all factors of 1081 are 1, 23, 47, 1081 therefore, the sum of its factors is 1 + 23 + 47 + 1081 = 1152.
What numbers are the Pair Factors of 1081?
The pair factors of 1081 are (1, 1081), (23, 47).
What is the Greatest Common Factor of 1081 and 114?
The factors of 1081 are 1, 23, 47, 1081 and the factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. 1081 and 114 have only one common factor which is 1. This implies that 1081 and 114 are coprime.
Hence, the Greatest Common Factor (GCF) of 1081 and 114 is 1.
How Many Factors of 1081 are also Factors of 954?
Since, the factors of 1081 are 1, 23, 47, 1081 and factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. Hence, 1081 and 954 have only one common factor which is 1. Therefore, 1081 and 954 are coprime.
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