Factors of 1
1 is the only number that is neither prime nor composite. 1 is the only factor of 1. 1 is the only number that has only 1 factor. In this lesson, we will learn about the factors of 1 along with solved examples based on factors of 1 for a better understanding.
 Factor of 1: 1
 Negative Factor of 1: 1
 Prime Factorization of 1: As 1 has no prime factors, it cannot be prime factorized.
 Sum of Factors of 1: 1
1.  What Are the Factors of 1? 
2.  How to Calculate Factors of 1? 
3.  Important Notes 
4.  Factors of 1 by Prime Factorization 
5.  Factors of 1 in Pairs 
6.  FAQs on Factors of 1 
What Are the Factors of 1?
 The number 1 is known as a unit. 1 is neither prime nor composite and has no prime factors.
 This means we cannot find factors of 1 and the prime factorization of 1 is not possible.
How to Calculate the Factors of 1?
 1 is the only factor of 1 itself. Hence, there are no more factors of 1 to calculate.
Explore factors using illustrations and interactive examples
 Factors of 10  The factors of 10 are 1, 2, 5, 10
 Factors of 100  The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
 Factors of 102  The factors of 102 are 1, 2, 3, 6, 17, 34, 51 and 102
 Factors of 110  The factors of 110 are 1, 2, 5, 10, 11, 22, 55 and 110
 Factors of 1000  The factors of 1000 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 200, 250, 500 and 1000
Important Notes:
 1 is the only factor of 1.
 1 is the factor of all numbers.
 1 is the only number whose square and the square root is 1 itself.
 1 is the identity element for multiplication i.e any number multiplied by 1 results in the number itself.
Factors of 1 by Prime Factorization
 Since 1 is not a prime number, therefore, its prime factorization is not possible.
Factors of 1 in Pairs
 1 can be obtained by the product of 1 and 1, i.e, 1 = 1 × 1. Hence, the pair factor of 1 is (1, 1).
Factors of 1 Solved Examples

Example 1: What is the area of a square having a side length of 1 inch?
Solution:
To find the area of a square we use the formula, area = side × side = side^{2}
The area of square = 1 × 1 = 1 inch square.Hence, the area of a square having a side length of 1 inch is 1 inch^{2}.

Example 2: What is the common factor of 1 and 2?
Solution:
The factor of 1 is 1. The factors of 2 are 1 and 2. Hence, the common factor of 1 and 2 is 1.
FAQs on Factors of 1
Is 1 considered a factor?
Yes, 1 is the factor of all numbers.
Is 1 a Prime Factor?
No, it is not a prime factor since number 1 is not a prime number.
Is 1 a Perfect Square?
Yes, 1 is the smallest perfect square number.
What Numbers are the Prime Factors of the number 1?
The number 1 has no prime factors i.e. zero prime factors.
What is the Greatest Common Factor of number 1 and a number X?
The number 1 has only one factor which is 1 and 1 is a common factor to all numbers. Therefore, the Greatest Common Factor of 1 and any natural number is always 1 i.e. GCF(1, X) = GCF(X, 1) = 1 for all X ∈ ℕ.
What is the Sum of the Factors of 1?
The number 1 has only one factor which is 1 itself. Therefore, the sum of the factors of 1 is 1.
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